Answer:
p-65=114
Step-by-step explanation:
In this equation, "p" is the amount of pencils in the box before he starts drawing. he removes 65 pencils from the box, leaving 114 in the box. What he needs with 65 pencils at once, I can't fathom.
If an interval estimate is said to be constructed at the 90 confidence level, the confidence coefficient would be _____. a. .1 b. .95 c. .05 d. .9
If an interval estimate is said to be constructed at the 90 confidence level, the confidence coefficient would be 0.9.
Confidence level:
Confidence level means the proportion or frequency of acceptable confidence intervals that contain the true value of the unknown parameter.
For example,
A 0% confidence level means you have no faith at all that if you repeated the survey that you would get the same results.
Confidence Coefficient:
Confidence coefficient states the confidence level stated as a proportion, rather than as a percentage.
For example, if you had a confidence level of 99%, the confidence coefficient would be .99.
Given,
Here we know that the confidence level is 90%, now we have to find the confidence coefficient of it.
Based on the definition,
The confidence coefficient for 90% confidence level is 0.9.
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Two buses, bus A and bus B, both use the same bus stop. Bus A runs every 10 minutes. Bus B runs every 14 minutes. Both buses are at the bus stop at 11 am. What time will both buses next both be at the bus stop. (3 marks)
Use HCF and LCM skills to work out your answer.
Answer:
since Bus A runs every 10 minutes while Bus B runs every 14 minutes
first add the minutes to get equivalent value
=10+14
=24
the value gotten will be added to the time
=24mins+11hrs
=11:24mins
PLEASE RATE AS BRAINLIEST
37 centimeters is the same as how many inches? Hint: 1 cm ≈ 0.39 in Round your answer to the nearest tenth. HELP PLEASE!!!
37 centimeters is equal to approximately 14.5 inches.
In both the British imperial and American customary systems of measurement, the inch serves as a unit of length. It is equal to 1/12 of a foot or 336 yards.The International System of Units (SI) uses centi as the prefix for a factor of 1/100, making a centimeter (international spelling) or centimeter (American spelling) (SI symbol cm) equivalent to one tenth of a meter. In the now-outdated centimeter-gram-second (CGS) system of units, the centimeter served as the fundamental unit of length.We know that 1 cm is equal to 0.39 inches.
So to convert 37 cm to inches we multiply 37 with 0.39
37×0.39=14.47 inches
The length is approximately 14.5 inches (rounded to the nearest tenth)
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Answer:
2.7
Step-by-step explanation:
Convert centimeters to inches by multiplying:
70.39=2.73
So, 7 centimeters is approximately 2.73 inches.
Now round to the nearest tenth.
2.73 → 2.7
7 centimeters is the same as approximately 2.7 inches.
-3-{3-[-3(2+4)-(-2)]}
Answer:
-22
Step-by-step explanation:
Let's solve the problem,
→ -3 - {3 - [-3(2 + 4) - (-2)]}
→ -3 - {3 - [-18 + 2]}
→ -3 - {3 + 16}
→ -3 - 19 = -22
So, the answer is -22.
certain clock is losing time. The clock loses 2/15 seconds every minute. How many seconds does the clock lose in one hour?
Answer:
8 minutes
Step-by-step explanation:
The formula is (2x60)/15=8.
Seleccione todas las que correspondan
¿Qué enunciados describen el movimiento en la imagen?
A. El hombre no está en movimiento con respecto a la boya.
B. El barco está en movimiento con respecto a la boya.
C. El hombre está en movimiento en relación con el barco.
D.El hombre no está en movimiento con respecto al bote.
C. El hombre no se mueve en relación con la caña de pescar.
Lo ciento, pero yo no se mucho Espanol por que yo soy negro y boricua pero mas negro asi que yo nunca aprendió.
Yo esperar una persona quien es muy mejor a Espanol pueda ayudarte! Adios.
(Yo solo escribio ese para la premio!)
Arrange the digits 1, 2, 3, 4, 5, 6, 7, 8, and 9 into three groups. Make one
group of two digits, one group of three digits, and one group of four digits.
When you multiply the first group of two digits by the second group of three
digits you get the four digit number as your answer
Example: 39x186=7254
There are six other possible combinations.
Part a:
Answer:
so the answer 1904
Step-by-step explanation:
because 34 x 56 = 1904
There are a total of seven combinations where arranging the digits 1 to 9 into three groups (one group of two digits, one group of three digits, and one group of four digits) results in a four-digit number when the first group is multiplied by the second group.
Here, we have to form the three groups with the digits 1 to 9, we need to consider that the first group of two digits multiplied by the second group of three digits should result in a four-digit number.
The third group will consist of the remaining four digits.
Let's try different combinations:
Group 1 (two digits): 1 and 2
Group 2 (three digits): 3, 4, and 5
Group 3 (four digits): 6, 7, 8, and 9
Now, let's calculate the product of the first group (1 and 2) and the second group (3, 4, and 5):
12 * 345 = 4140
So, when we arrange the digits 1 to 9 as described above, we get the product 4140, which is a four-digit number.
We can also verify the other six possible combinations using different arrangements of the digits into three groups, and each combination should result in a four-digit number when the first group is multiplied by the second group.
Here are the other six possible combinations:
Group 1 (two digits): 1 and 3, Group 2 (three digits): 2, 4, and 5, Group 3 (four digits): 6, 7, 8, and 9
13 * 245 = 3185
Group 1 (two digits): 1 and 4, Group 2 (three digits): 2, 3, and 5, Group 3 (four digits): 6, 7, 8, and 9
14 * 235 = 3290
Group 1 (two digits): 1 and 5, Group 2 (three digits): 2, 3, and 4, Group 3 (four digits): 6, 7, 8, and 9
15 * 234 = 3510
Group 1 (two digits): 2 and 3, Group 2 (three digits): 1, 4, and 5, Group 3 (four digits): 6, 7, 8, and 9
23 * 145 = 3335
Group 1 (two digits): 2 and 4, Group 2 (three digits): 1, 3, and 5, Group 3 (four digits): 6, 7, 8, and 9
24 * 135 = 3240
Group 1 (two digits): 2 and 5, Group 2 (three digits): 1, 3, and 4, Group 3 (four digits): 6, 7, 8, and 9
25 * 134 = 3350
So, there are a total of seven combinations where arranging the digits 1 to 9 into three groups (one group of two digits, one group of three digits, and one group of four digits) results in a four-digit number when the first group is multiplied by the second group.
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Place Value 879,009 - 788,492
Answer:
90517
Step-by-step explanation:
This is the answer when you minus 879,009 by 788,492
the ice cream shop has 10 flavor of ice cream, how many different two-scoop ice cream cones can you make?
The total number of two scoops of ice cream cones is 45, calculated using the combination of different flavors.
What is the combination?
The combination is a mathematical term basically used to calculate the possible arrangements in a collection of different items. Its formula is given by:
C(n,r) = n! / (n-r)! r!
Where n is the total number of items and r is the number of selected items
Calculation of the number of different two-scoops ice cream cones
Given: 10 flavors of ice cream
We are required to choose two flavors out of 10, so we need to use the combination, i.e.
C(10,2) = 10! / (2! (10 - 2)!)
= 10! / (2! 8!)
= 45
Hence, the total number of two scoops of ice cream cones is 45.
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please give the correct answer this is for a grade
Find the area of a triangle with a base
of 10m and a height of 12m.
Area: 12(bxh)
Answer:
60
Step-by-step explanation:
1/2(b×h)
1/2(10×12)
1×5×12
60
Two consecutive angles of a parallelogram measure 3 x+42 and 9 x-18 . What are the measures of the angles?
A. 13,167
C. 39,141
B. 58.5,31.5
D. 81,99
Answer:
enjooooooooooooyyyyyyyyyyy
One pygmy shrew weighs 3 3/18 ounces, and another weighs 4 4/7 ounces. Estimate the total weight.
O about 8 1/2
O about 7 1/2
O about 9 ounces
O about 7 ounces
==============================================
Reason:
It might help to draw a number line for this.
3/18 is closer to 0 than it is to 1/2 = 9/18, so the mixed number 3 & 3/18 rounds to 3 when rounding to the nearest half.
4/7 is closer to 1/2 = 4/8 than it is to either 0 or 1, so 4 & 4/7 rounds to 4 & 1/2 when rounding to the nearest half.
Adding 3 to 4 & 1/2 gets 7 & 1/2 since we add the whole parts 3+4 = 7, and the fractional part stays as it is.
-----------
Check:
(3 + 3/18) + (4 + 4/7) = 7.738 approximately
7 + 1/2 = 7.5 exactly
The two results aren't too far off. The estimate of 7 & 1/2 is an underestimate.
Answer:
About 7 1/2 ounces
Step-by-step explanation:
Add your whole numbers first, 3 + 4 = 7
Now the fractions:
3/18 = 1/6
Estimate 4/7 + 1/6, the answer is somewhere between 1/2 and 1 whole. Therefore the answer is about 7 1/2
Check:
3/18 × 7/7 = 21/126
4/7 × 18/18 = 72/126
21/126 + 72/126 = 93/126
The actual answer is 7 31/42, so the closest answer is 7 1/2
assume that you are trying to use the inverse tangent function on your calculator to find the angle of a vector in the x-y plane.
The tangent of the angle formed when x = 0 is undefined.
However, the angle described by when x = 0 are;
E) Either 90° or 270°
Which method can be used to find the measure of the required angle?
The question appears to be incomplete. The possible other part of the question is as follows;
When x = 0, and the calculator is used to find the tangent, the calculator indicates that the value is undefined, such that the calculator will not be able to give the value of the angle that corresponds with a value of x = 0.
What must the angle in degrees be when x = 0
Solution;
[tex]tan( \theta) = \frac{ \Delta y}{\Delta x} = \frac{y - value}{x - value} [/tex]
When x = 0, we have;
[tex]tan( \theta) = \frac{y - value}{0} = \infty [/tex]
However, when x = 0, the terminal side have rotated from the initial side to the positive or negative side of the ordinate, which corresponds to 90° or 270°, which are located on the ordinate of the graph
The correct option is therefore;
E) Either 90° or 270°
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The tangent of the angle formed when x = 0 is undefined. However, the angle described by when x = 0 are; E) Either 90° or 270°, When x = 0, we have; However, when x = 0, the terminal side have rotated from the initial side to the positive or negative side of the ordinate, which corresponds to 90° or 270°, which are located on the ordinate of the graph. The correct option is therefore; E) Either 90° or 270°.
When using the inverse tangent function on a calculator to find the angle of a vector in the x-y plane, it is important to understand the limitations and considerations involved. The inverse tangent function, commonly denoted as arctan or atan, returns the angle whose tangent is a given value. However, special attention should be given to the range of the output and the quadrant of the angle. Additionally, some calculators have a two-argument inverse tangent function that considers both the x and y components of the vector, providing a more accurate result. To find the angle of a vector in the x-y plane using the inverse tangent function on a calculator, we typically use the atan or arctan function. The function takes a single argument, which is the ratio of the y-coordinate to the x-coordinate of the vector. It returns the angle in radians whose tangent is equal to that ratio. However, it's important to consider the limitations of the inverse tangent function. The output of the function is typically in the range of -π/2 to π/2 (-90 degrees to 90 degrees). This means that the function can only provide angles within this range. If the vector falls in the second or third quadrant (where the x-coordinate is negative), the function will return an angle between -90 degrees and 90 degrees. To obtain the correct angle in these cases, we need to add or subtract 180 degrees, depending on the quadrant. Some calculators also have a two-argument inverse tangent function, often denoted as atan2 or arctan2. This function takes both the x and y components of the vector as arguments. It provides a more accurate result by considering the signs of both components and the quadrant of the angle. This eliminates the need for additional calculations to determine the correct quadrant. In conclusion, when using the inverse tangent function on a calculator to find the angle of a vector in the x-y plane, we should be aware of the range of the output and the quadrant in which the vector lies. For more accurate results, it is recommended to use the two-argument inverse tangent function (such as atan2 or arctan2) if available on the calculator, as it handles the quadrant determination automatically.
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Can someone please help I will be giving Brainliest to whoever can answer :)
Match the questions with the graphs that are labeled A-H. (keep in mind that some questions might have the same answer)
6. x^2- 3x ≥ 0
7. x^2- 3x + 2 ≤ 0
8. {(x, y): y ≤ 1 - x^2} and {(x, y): y ≥ -1}
The inequalities are matched with their correct graph respectively as follows:
D ⇒ {(x, y): y > x²}.G ⇒ {(x, y): y ≥ x²+ 3C ⇒ {(x, y): y ≤ 3x² + 2}A ⇒ {(x, y): y ≥ 2x² - 5x + 1}J ⇒ x²- 3x ≥ 0H ⇒ x² - 3x + 2 ≤ 0B ⇒ {(x, y): y ≤ 1 - x²} B ⇒ {(x, y): y ≥ -1}What is a graph?A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
What is an inequality?An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).In Geometry, if the leading coefficient of a quadratic equation is greater than (>) zero, the parabolic curve would open upward while the parabolic curve would open downward when the leading coefficient of a quadratic equation is less than (<) zero.
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Complete Question:
Match the questions with the graphs that are labeled A-H. (keep in mind that some questions might have the same answer)
1. A = {(x, y): y > x^2}
2. B = {(x, y): y ≥ x^2+ 3}
3. C = {(x, y): y ≤ 3x^2 + 2}
4. D = {(x, y): y ≥ 2x^2- 5x + 1}
6. x^2- 3x ≥ 0
7. x^2- 3x + 2 ≤ 0
8. {(x, y): y ≤ 1 - x^2}
9. {(x, y): y ≥ -1}
SECOND TIME ASKING PLEASE HELP WILL GIVE BRAINLIST TO BEST ANSWER
Liz drove his hoverboard 3 miles in 40 minutes. Jim Shue hopped 2 miles in 20 minutes. Who traveled at a greater average speed? Define an appropriate unit of speed and provide mathematical justification for your answer.
Answer:
Jim Shue
Step-by-step explanation:
I think not sure
Isaac bought two DVD's and spent over 50 . Use indirect reasoning to show that at least one of the DVD's he purchased was over 25 .
By assuming that both DVD's cost $25 or less, we will reach an absurd. In that way we conclude that at least one of the two DVD's costs over $25.
How to use the indirect reasoning?
We know that Isaac bought two DVD's and spent over $50.
Let's define the variables:
x = cost of the DVD 1y = cost of the DVD 2Because the cost is over $50 we can write the inequality:
x + y > $50
Here we want to prove that at least one of the two DVD's costed over $25, now let's find an absurd here, let's assume that neither of the DVD's costed over $25, then we can write:
x ≤ $25
y ≤ $25
So we have a set of 3 inequalities:
x + y > $50
x ≤ $25
y ≤ $25
Now, the maximum values that x and y can take are $25, if we use these values in the first inequality we will get:
$25 + $25 > $50
$50 > $50
So this is an absurd, this means that we can't assume that neither of the DVD's costs over $25, then we conclude that at least one of the DVD's costs over $25, which is what we wanted to prove.
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1) Simplify the expression. Show your work.
[tex]\sqrt\frac{9x^{3} }{4y^2}[/tex]
2) Simplify the expression (2-5i)(3+7i)-(4+3i). Show your work.
3) Simplify the expression [tex]\sqrt[3]{81}x^{7}y^{9}z^{5}[/tex] . Show your work.
The expressions are simplified to 3x^3/2/ y , 2 - 4i - 35i² and 4x^7y^9z^5
How to simply the expressions1.
Given the expression;
[tex]\sqrt{\frac{9x^3}{4y^2} }[/tex]
Take the square root of the variables;
= [tex]\frac{3x^3^/^2}{y}[/tex]
2. (2-5i)(3+7i)-(4+3i)
expand the bracket
6 + 14i - 15i - 35i² - 4 - 3i
collect like terms
2 - 4i - 35i²
3. Given the expression;
[tex]\sqrt[3]{81} x^7 y^9z^5[/tex]
Take the cube root of the value, we have;
4x^7y^9z^5
Thus, the expressions are simplified to 3x^3/2/ y , 2 - 4i - 35i² and 4x^7y^9z^5
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A group of friends wants to go to the amusement park. they have $69.75 to spend on parking and admission. parking is $17.25, and tickets cost $17.50 per person, including tax. write an equation which can be used to determine p, the number of people who can go to the amusement park.
Equation and solution of equation :
17.25 + p(17.50) = 69.75
17.25 + 17.50p = 69.75
17.50x = 69.75 - 17.25
17.50p = 52.50
p = 52.50/17.50
p = 3
So three people can go to the amusement park (assuming that they are all travelling together in the same car).
The equation that represents the number of people who can go to the amusement park will be 17.50p + 17.25 = 69.75.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
A group of friends wants to go to the amusement park. they have $69.75 to spend on parking and admission. Parking is $17.25, and tickets cost $17.50 per person, including tax.
Let p be the number of people. Then the equation is given as,
17.50p + 17.25 = 69.75
The equation that represents the number of people who can go to the amusement park will be 17.50p + 17.25 = 69.75.
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Question : Why do we reverse the direction of the inequality symbol when multiplying or dividing by a negative number ??
please write a thought out good answer ! T-T
NO LINKS.
Answer:
Down Here ↓↓↓↓
Step-by-step explanation:
Hello!
Let's take an example: x > y
The rule that we currently have would state that -x < -y.
Now, let's substitute values for x and y. Say x is 5 and y is -3.
5 is greater than -3 (x > y), but -5 would be less than -3. (-x < -y). Hence the inequality would be true.
We can also take a look at this graphically on a number line. Turning a number negative is simply reflecting it over value 0.
As you can see, flipping the signs would change the values. To keep the inequality accurate, we reverse the inequality sign as well.
please help very important please
Answer: 7/2
Step-by-step explanation:
At this rate how long would it take for you heart to beat 700,000 times? Express your answer in days . Now express your answer in days , hours, minutes, & seconds. (Example:2 days , 4 hours 21 minutes, 15seconds)
The time that it would take for you heart to beat 700,000 times is
8days 2hours 26 mints 40second.
To calculate at this rate of heart to beat 700,000 times we take :
It should be noted that the heart beats in a day = 86400 times
(24 hours = 86400 times)
Takes about 1 hour for a heart to beat = 3600times
Takes about 15 mints for a heart to beat = 900times
Takes about 60 sec for a heart to beat = 60times
Therefore,
the number of days will be given as
= 700000 / 86400
= 8.10 days
= 8days 2hours 26 mints 40second.
The time that it would take for you heart to beat 700,000 times is
8days 2hours 26 mints 40second.
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There are 16 circles and 12 squares. What is the simplest ratio of squares to total shapes?
Answer:
3/2
Step-by-step explanation:
16+12= 28 total shapes
squares =12 so 12/28
and divide both side by 4 for simplest form
3/2
1-2x+5=4x-3 i need help
Answer:
X=4/3
Step-by-step explanation:
Answer:The answer would be x=2/3
Step-by-step explanation:Bring 4x over to one side with -2x and bring 5 and 1 over to he other side with -3 and the equation becomes -2x-4x=-3-5-1 then you simplify and it becomes -6x=-9 then you divide and the answer would be x=2/3
select the correct answer. which measurement is equivalent to 350 milliliters? a. 3.5 × 102 liters b. 3.5 × 101 liters c. 3.5 × 10–2 liters d. 3.5 × 10–1 liters
The measurement that is equivalent to 350 milliliters is d. 3.5 × 10⁻¹ liters.
Measurements:
Measurements is the concept that is very helpful to measure the quantity of the any object like for solid object we have to use the grams and for liquid one we have to use the liters.
So, it is basically used to define the quantity of the given object.
Given,
Measurement = 350 milliliters.
Here we need to find the equivalent form from the given options.
We know that,
1 liter = 1000 milliliters
Here We are given a quantity of 350 milliliters and we are supposed to convert it into liters.
So, assuming x to be the number of liters equivalent to 350 milliliters, we can write it as:
[tex]\frac{1liter}{xliter}=\frac{1000}{350}[/tex]
=> x = 350/1000
=> x = 0.35
Which can be written as,
=> x = 3.5 × 10⁻¹ liters
Therefore, 350 milliliters is equal to 3.5 × 10⁻¹ liters.
So, the option (d). 3.5 × 10⁻¹ liters is correct.
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Use place value ans distributive property to match each multiplication expression with an equivalent expression.
Using the distributive property, the equivalent expressions are given as follows:
3(937) = 3(900) + 3(30) + 3(7).11(143) = 11(100) + 11(40) + 11(3).9(821) = 9(800) + 9(20) + 9(1).5(209) = 5(200) + 5(0) + 5(9).6(342) = 6(300) + 6(40) + 6(2).What is the distributive property?The distributive property is when the outside term of an expression multiplies all the inside terms, keeping the inside operations, as the following example:
a(b + c) = ab + ac.
For this problem, the numbers can be decomposed as follows:
937 = 900 + 30 + 7.143 = 100 + 40 + 3.821 = 800 + 20 + 1.209 = 200 + 0 + 9.342 = 300 + 40 + 2.Applying the distributive property, the equivalent expressions are:
3(937) = 3(900) + 3(30) + 3(7).11(143) = 11(100) + 11(40) + 11(3).9(821) = 9(800) + 9(20) + 9(1).5(209) = 5(200) + 5(0) + 5(9).6(342) = 6(300) + 6(40) + 6(2).More can be learned about the distributive property at https://brainly.com/question/2807928
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if h(x)=x2-x find h(3)
Answer:
h(3) = 1
Step-by-step explanation:
[tex]h\left(3\right)=\left(3\right)\cdot \:2-3\\h\left(3\right)=3\cdot \:2-3\\h\left(3\right)=6-3\\h\left(3\right)=3[/tex]
Divide
[tex]\frac{h\cdot \:3}{3}=\frac{3}{3}\\h=1[/tex]
A family of four visits the zoo café for lunch. They ordered 2 bacon cheeseburgers, 1
hamburger, 1 chicken fajita taco, 2 large orders of french fries, an order of onion rings, and 4
juices. What was the family’s total bill? Show your work.
Answer:
29.65
Step-by-step explanation:
i really hate math soo pwease help
3 Answers: Choice A, Choice B, Choice E
=========================================================
Explanation:
We have four copies of x in the original expression. So that accounts for the 4x. In other words, 4x = x+x+x+x. Multiplication is used for repeated addition.
Also, the other terms add to 15+5+15+5 = 20+20 = 40
Therefore, we end up with 4x+40 from choice A.
-----------------------------
Once we get to 4x+40, we can factor out 2 from it like so
4x+40
2*2x + 2*20
2(2x+20) which is choice B
I used the distributive property to factor. That rule is a(b+c) = ab + ac
-------------------------------
Choice C is not one of the answers. We can determine this fairly quickly by noting that the expression in choice C talks about a quadratic, but the original expression given to us is linear.
Choice D is a similar story to choice C.
--------------------------------
Choice E is another answer
This is because we have two copies of (x+15), so that gives 2(x+15)
We also have two copies of (x+5) to get 2(x+5)
Write an equation of the line that passes through the point (1,5) and is (a) parallel to the line y = 3x-5 and (b) perpendicular
to the line y = 3x - 5.
Answer:
[tex]\textsf{An equation of the parallel line is $y = \boxed{3x+2}$}[/tex]
[tex]\textsf{An equation of the perpendicular line is $y = \boxed{-\dfrac{1}{3}x+\dfrac{16}{3}}$}[/tex]
Step-by-step explanation:
Point-slope form of a linear equation:
[tex]\boxed{y-y_1=m(x-x_1)}[/tex]
Where:
m is the slope.(x₁, y₁) is a point on the line.Given:
Equation: y = 3x - 5Point: (1, 5)Part (a)If two lines are parallel, they have the same slope.
Therefore, the slope of the line that is parallel to the given equation is 3.
To find the equation of the line, substitute the found slope and the given point into the point-slope form of a linear equation:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-5=3(x-1)[/tex]
[tex]\implies y-5=3x-3[/tex]
[tex]\implies y-5+5=3x-3+5[/tex]
[tex]\implies y=3x+2[/tex]
Part (b)If two lines are perpendicular, their slopes are negative reciprocals.
Therefore, the slope of the line that is perpendicular to the given equation is -¹/₃.
To find the equation of the line, substitute the found slope and the given point into the point-slope form of a linear equation:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-5=-\dfrac{1}{3}(x-1)[/tex]
[tex]\implies y-5=-\dfrac{1}{3}x+\dfrac{1}{3}[/tex]
[tex]\implies y-5+5=-\dfrac{1}{3}x+\dfrac{1}{3}+5[/tex]
[tex]\implies y=-\dfrac{1}{3}x+\dfrac{16}{3}[/tex]