Given:
The table of values is
x y
-4 2
-3 5
-2 8
-1 11
To find:
The slope of the line that contains these points.
Solution:
From the given table consider any two point.
Let the line passes through the points (-4,2) and (-3,5). So, the equation of the line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-2=\dfrac{5-2}{-3-(-4)}(x-(-4))[/tex]
[tex]y-2=\dfrac{3}{-3+4}(x+4)[/tex]
[tex]y-2=\dfrac{3}{1}(x+4)[/tex]
Using distributive property, we get
[tex]y-2=3x+12[/tex]
[tex]y=3x+12+2[/tex]
[tex]y=3x+14[/tex]
Therefore, the required equation of line is [tex]y=3x+14[/tex].
Answer: The slope is 1/5.
Step-by-step explanation:
You can find the answer by subtracting 6-1, (5) and 0-1,(1), which shows you 1/5. (Explanation sucks, sorry)
:)
solve CORRECTLY for brainly and 20 points
Answer:
k/4 + 3 = 14
k = 44
Step-by-step explanation:
Step 1: k + 12 = 56
Step 2: k = 56 - 12
Step 3: k = 44
Multiply both sides of the equation by 4Subtract from both sidesSubtract 12 from 56 to get 44Answer:
The answer are
t=4
f=4
e=2
k=44
a=-4
n=11
Complete this statement using >, <, or =
0.248_____0.259
Answer:
Here the most appropriate answer is '>'
Thus it will be 0.248 > 0.259
Find the area of the parallelogram. Round to the nearest hundredth if necessary.
Answer:
1424.81 square meters
Step-by-step explanation:
20.21 m * 70.5m = 1424.805 square meters
So then you round it to the nearest hundredth so then..
1424.81 square meters
Step-by-step explanation:
A of a parallelogram = Base ×height
= 20.21×70.5= 1424.805m
nearest hundreth = 1424.81 m
A person walks 1/3 of a mile every half hour. How far
would the person walk in 2
hours?
Answer:
1 1/3 miles
Step-by-step explanation:
1/3 is for a half-mile, so double it to 2/3 for one mile.
Now double it again for two hours.
2/3 + 2/3 = 1 1/3 miles in two hours
Answer:
The person will walk 1 1/3 miles in 2 hours.
Step-by-step explanation:
There are 4 half-hours in 2 hour
1/3*4=4/3 or 1 1/3 miles
What is the greatest common factor (GCF) of 24 and 40?
8, 4, 24, or 16
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Factors of 24 and 40
24: 1, 2, 3, 4, 6, 8, 12, 24
40: 1, 2, 4, 5, 8, 10, 20, 40
8 comes as the GCF of both
write an equation of the line perpendicular to the given line that contains P in point slope form? P (4,8) y=4x-7
Answer:
y - 8 = -1/4(x - 4)Step-by-step explanation:
Perpendicular lines have negative-reciprocal slopes.
The line contains point P(4, 8)
Point slope form:
y - y₁ = m(x - x₁)Given line:
y = 4x - 7The slope of the perpendicular line is m = -1/4.
The line in point-slope form is:
y - 8 = -1/4(x - 4)Answer:
y - 8 = -1/4(x - 4)
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = 4x - 7. Its slope is 4. A line perpendicular to this one will have a slope of -1/4, the reciprocal (opposite) of the given equation.
Plug this value (-1/4) into your standard point-slope equation of y - y₁ = m(x - x₁)
y - y₁ = -1/4(x - x₁)
To find x₁ and y₁, we want to plug in a value that we know is on this line: in this case, it is P (4, 8). Plug in the x and y values into the x₁ and y₁ of the standard equation.
y - 8 = -1/4(x - 4)
This equation is perpendicular to your given equation (y = 4x - 7) and contains point P (4, 8)
Hope this helps!
r/1000=7, algebra, got confused and this one is weird to do. (personally)
Answer:
r = 7000Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
r/1000-(7)=0
Step by step solution :
STEP1:
r
Simplify ————
1000
Equation at the end of step1
r
———— - 7 = 0
1000
STEP 2
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 1000 as the denominator :
7 7 • 1000
7 = — = ————————
1 1000
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
r - (7 • 1000) r - 7000
—————————————— = ————————
1000 1000
Equation at the end of step 2
r - 7000
———————— = 0
1000
STEP 3
When a fraction equals zero :
3.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
r-7000
—————— • 1000 = 0 • 1000
1000
Now, on the left hand side, the 1000 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
r-7000 = 0
Solving a Single Variable Equation:
Solve : r-7000 = 0
Add 7000 to both sides of the equation :
r = 7000
One solution was found :
r = 7000
Step-by-step explanation:
Hope it is helpful.....
solve the inequality -3x + 6 > -2
Answer:
x<8/3
Step-by-step explanation:
Your answer is x is less than 8 over 3
Answer:
Answer is d
Step-by-step explanation:
x<8/
Trapezoid K prime is the image of trapezoid K after a series of transformations. On a coordinate plane, trapezoid K has points (negative 4, 0), (negative 4, 4), (4, 4), (2, 0). Trapezoid K prime has points (negative 3, negative 1), (6, negative 1), (6, negative 7), (negative 6, negative 7). Bella and Marco described the sequence of transformations in different ways. Bella’s Sequence Marco’s Sequence 1. a dilation of trapezoid K by a scale factor of Three-halves with the origin as the center of dilation 2. a rotation of 180 degrees about the origin 3. a translation of 1 unit down 1. a reflection of trapezoid K across the x-axis 2. a dilation by a scale factor of Three-halves with the origin as the center of dilation 3. a translation of 1 unit down Which sequence or sequences are correct and why? Only Bella is correct. Only Marco is correct. Both Bella and Marco are correct because both chose the correct scale factor for the dilation and both describe other transformations that could be used. Neither Bella nor Marco is correct because the scale factor they chose for the dilation is incorrect.
Answer: bella, edge 2021 bb
Trapezoid k was scale factor of Three-halves and then translated 1 unit down.
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Translation is the movement of a point either up, left, right or down,
Trapezoid k was scale factor of Three-halves and then translated 1 unit down.
Find out more on Transformation at: https://brainly.com/question/1462871
8 + 3n ≥ 38
can yall solve plzzz
Mrs. Brownstone brought 56 liters of juice for the fifth grade party. How many milliliters of juice did she bring?
Answer:
56000 milliliters
1 liter = 1000 milliliters
56(1000)=56000
Step-by-step explanation:
Para abastecer o seu carro com 30 litros de gasóleo a Inês demorou 1 minuto e 40 segundos. Com a mesma mangueira, quanto tempo é necessário para encher um recipiente com a forma de um cone e uma semiesfera com 10 cm de raio e, o cone, com 10 cm de altura?
Answer:
hahdg duchy jejeurur y ed sethi. riruru. udhrhru. ueeh
A 15-ft by 15-ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 304 ft^2, how wide is the walkway?
Answer:
4 ft = width of walkway
Step-by-step explanation:
It helps if you can draw a figure.
Let x = width of walkway
Length of pool + walkway = (2x + 15)
Width of pool + walkway = (2x + 15)
area of pool and walkway together = (2x + 15)(2x + 15) = [tex]4x^{2} = 60x + 225[/tex]
Area of the pool = 15(15) = 225
Now,
The area of the walkway = area of pool and walkway together - area of pool
304 = 4[tex]x^{2}[/tex] + 60x + 225 - 225
304 = [tex]4x^{2}[/tex] + 60x
4[tex]x^{2}[/tex] + 60x - 304 = 0
4([tex]x^{2}[/tex] +15x - 76) = 0
4(x - 4)(x + 19) = 0
x = 4 x = -19
-19 must be discarded because a length cannot be negative
Therefore x = 4 ft = width of walkway
Enola is a waitress at a restaurant. Each day she works, Enola will make a guaranteed wage of $35, however the additional amount that Enola earns from tips depends on the number of tables she waits on that day. From past experiences, Enola noticed that she will get about $8 in tips for each table she waits on. How much would Enola expect to earn in a day on which she waits on 20 tables? How much expect to make in a day when waiting on t tables?
Answer:
1. 195
2. Y= 8t +35
Step-by-step explanation:
Answer:
$195; y=8t+35
Step-by-step explanation:
You can make an equation to find out how much Enola earns a day:
y=8t+35 ––This shows that "y" is the earnings for the day, "8t" represents $8 per table, and the "+35" represents the guarenteed $35 a day.
To answer the first question, the replace t with 20: y=8(20)+35
y=160+35
y=195
*For the second answer, I would put the equation because you do not know the number of tables because it is unspecified.
***You can change the "y" to whatever if you need to
can anyone solve this
Answer:
Step-by-step explanation:=(1+sinA)2+cos2A/cosA(1+sinA)
=1+sin2 A+2sin A+cos2 A/cos A(1+sin A)
=1+2sin A+1/cos A(1+sin A)
=2(1+sin A)/cos A(1+ sin A)
=2sec A
Answer:
see explanation
Step-by-step explanation:
Consider the left side
[tex]\frac{1+sinA}{cosA}[/tex] + [tex]\frac{cosA}{1+sinA}[/tex] ← combine into a single fraction
= [tex]\frac{(1+sinA)^2+cos^2A}{cosA(1+sinA)}[/tex] ← expand and simplify numerator
= [tex]\frac{1+2sinA+sin^2A+cos^2A}{cosA(1+sinA)}[/tex] [ sin²A + cos²A = 1 ]
= [tex]\frac{1+2sinA+1}{cosA(1+sinA)}[/tex]
= [tex]\frac{2+2sinA}{cosA(1+sinA)}[/tex] ← factor out 2 on the numerator
= [tex]\frac{2(1+sinA)}{cosA(1+sinA)}[/tex] ← cancel (1 + sinA) on numerator/ denominator
= [tex]\frac{2}{cosA}[/tex]
= 2secA = right side, thus verified
In ionic bonding, it tends to do which of the following
Answer:
Transfer of electrons
Form Crystals
High boiling & melting points
Dissolve in water
Good conductor of electricity
The first step in solving 3+7(x-5)=2x+16 is to
Multiply out the things in the brackets.
3+7(x+5)=2x+16
3+7x+35=2x+16
Bring the x's over to one side and the numbers to the other side.
7x-2x=16-35-3
5x= -22
divide the product of d and 6 by 4
Answer:
d/24
Step-by-step explanation:
please help me I will give brainlist
Answer:
3 + 2n
Step-by-step explanation:
2 + 1 = 3.
2n cannot be added into this because it has a letter in front of it. Therefore, it stays on its own.
2n + 3
1 and 3 are like terms, and because there are no more variables, the 2n will stay alone :)
does this table represent a liner or nonlinear function
Answer:Nonlinear
Step-by-step explanation:
The ratio is 1:8 meaning if you divide the second part by 8 it should get you the first part but 16/8 is 2 not 3 therefore it is not linear
Suppose 65% of jurors come to a just decision. In a jury of ten people, what is the probability more than half come to a just decision? 0.7515 0.2485 0.0949 0.8374 0.9051
Answer: 0.7515
Step-by-step explanation:
Binomial probability formula:
[tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex] , where
n = total number of trials.
p= probability of success in each trial.
x= Number of successes.
Let x be a binomial variable that represents the number of jurors come to just decision.
p= 0.65
n= 10
Required probability= [tex]P(x>5)=P(x=6)+P(x=7)+P(x=8)+P(x=9)+P(x=10)\\\\ =\ ^{10}C_6(0.65)^6(0.35)^4+ ^{10}C_7(0.65)^7(0.35)^3+ ^{10}C_8(0.65)^8(0.35)^2+ ^{10}C_9(0.65)^9(0.35)^1+^{10}C_{10}(0.65)^{10}(0.35)^0\\\\=0.75149550912\approx0.7515[/tex]
Hence, the probability more than half come to a just decision = 0.7515
What is the GCF of 45x^5
and
36x^9
Answer:
9x^5
Step-by-step explanation:
the factors of 45:
1, 3, 5, 9, 15, 45
the factors of 36:
1, 2, 3, 4, 6, 9, 12, 18, 36
Greatest common is 9
Answer:
The answer is 3
Step-by-step explanation:
because I said so
What is UW? For brainliest
Answer:
UW = 5
Step-by-step explanation:
use the altitude rule and set up a proportion:
4/UW = UW/6.25
cross-multiply:
UW² = 25
UW = [tex]\sqrt{25}[/tex]
UW = 5
Colleen's movie collection contains 8 movies, including 4 romance movies. What is the probability that a randomly selected movie will be a romance movie?
Answer: 1/2
Step-by-step explanation:
There are 8 movies in total.
4 of those movies are romance movies.
The probability of picking a romance movie is the proportion of romance movies to the total number of movies.
= Number of romance movies / Number of total movies
= 4 / 8
= 1 / 2
Answer:
1/2
Step-by-step explanation:
What is the unit ratio for 360 oranges growing to 9 trees
Answer:
360/9=40
Step-by-step explanation:
Answer:
40
all you have to do is divide the first term by the second term
example: 360 divided by 9 = 40
what is m3 + 9n when m = 4 and n = 5
When asked to write the prime factorization of 175, a student wrote 7 dotmath 25. Complete the explanation of the error and enter the correct answer.
Answer:
175 = 7·5·5
Step-by-step explanation:
A student asked to write a prime factorization of 175. He wrote 7·25
The prime factorization of 175 will be given by :
[tex]175=7\times 5\times 5[/tex]
It means, he has written it wrong as 7·25. It should be 7·5·5.
Hence, this is the required solution.
Answer:
175 = 7·5·5
Step-by-step explanation:
A student asked to write a prime factorization of 175. He wrote 7·25
The prime factorization of 175 will be given by :
It means, he has written it wrong as 7·25. It should be 7·5·5.
Hence, this is the required solution.
A shadow is cast by a pole. The angle of elevation from the end of the shadow to the top of
the pole is 35 degrees. If the distance from the base of the pole to the end of the shadow is 22
feet, how far is it from the end of the shadow to the top of the pole?
Answer:
13ft
Step-by-step explanation:
35-22=13
Help me please!! An emergency!!
A polynomial equation with rational coefficients has the roots 5, sqrt6, 3, -sqrt7. Find two additional roots.
Thank you!
Given:
A polynomial equation with rational coefficients has the roots [tex]5, \sqrt{6}, 3, -\sqrt{7}[/tex].
To find:
The two additional roots.
Solution:
According to the irrational root theorem, if [tex]a+\sqrt{b}[/tex] is a root of a polynomial, then [tex]a-\sqrt{b}[/tex] is also the root of that polynomial.
It is given that, [tex]\sqrt{6}\text{ and }-\sqrt{7}[/tex] are roots of a polynomial.
By using irrational root theorem, [tex]-\sqrt{6}\text{ and }\sqrt{7}[/tex] are also the roots of that polynomial.
Therefore, the two additional roots are [tex]-\sqrt{6}\text{ and }\sqrt{7}[/tex].
Michael is going to invest in an account paying an interest rate of 5.8% compounded
monthly. How much would Michael need to invest, to the nearest dollar, for the value
of the account to reach $260 in 12 years?
Answer:
P=130
Step-by-step explanation: