Find the equation of a line that is perpendicular to 4x+6y=1 and that has a greater intercept to the line 2x+3y=18
Answers
Answer:
The equation of the the line that is perpendicular to 4·x + 6·y = 1 and that has a greater intercept to the line 2·x + 3·y = 18 can be 2·y - 3·x = 14
Step-by-step explanation:
The line which is perpendicular to the required line = 4·x + 6·y = 1
The line with which the required line has a greater intercept = 2·x + 3·y = 18
Solution;
The relationship between the slope, m₁, of a straight line, y = m₁·x + c₁ perpendicular to another straight line, y = m₂·x + c₂, with slope m₂ is given as follows;
m₁ = -1/m₂
Rewriting the equation of the given line in slope and intercept form gives;
4·x + 6·y = 1
6·y = 1 - 4·x
y = 1/6 - 4·x/6 = 1/6 - 2·x/3 = 1/6 - (2/3)·x
∴ y = 1/6 - (2/3)·x
Therefore, the slope, 'm₁', of the line y = 1/6 - (2/3)·x, is m₁ = -(2/3)
The slope of the perpendicular line, is therefore, m₁ = -1/m₂
∴ m₂ = -1/m₁
m₂ = -1/(-(2/3)) = 3/2
The intercept of a straight line of the form y = m·x + c is 'c'
The intercept of the line 2·x + 3·y = 18 is obtained by rewriting the equation of the line in slope and intercept form as follows;
2·x + 3·y = 18
y = 18/3 - (2/3)·x = 6 - (2/3)·x
y = 6 - (2/3)·x = -(2/3)·x + 6
y = -(2/3)·x + 6
By comparing the above equation to the equation, y = m·x + c, we have;
c = 6
The intercept of the line y = -(2/3)·x + 6, which is the same line as 2·x + 3·y = 18 is 6
∴ The intercept of the required line, c₂ > 6
The equation of the required line in slope and intercept form, y = m·x + c, can therefore be;
y = (3/2)·x + 7
By multiplying by 2, we get;
2·y = 3·x + 14
∴ The equation of the line can be 2·y - 3·x = 14.
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Answer:
a=0
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Step-by-step explanation:
Use the graph of the function f(x) = (x + 1)² + 2. Identify the vertex and
the axis of symmetry.
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=> a=1 b=2
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=> x=-1
=> (-1,2)
2. Axis of symmetry: x=-1
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Answer:
x=120 (opp. angles of //gram)
Step-by-step explanation:
Because DA//CB and AB//DC (given)
Therefore ABCD is a parallelogram (opp. sides equal)
Therefore,
∠DAB = ∠DCB (opp. ∠s of //gram)
x = 120
An art teacher is making packages of paintbrushes and plant for his students.
He has 24 brushes and 40 tubes of paint. Each package will have the same number
of brushes and the same number of tubes of paint.
a. What is the greatest number of packages that the art teacher can make using
all the paintbrushes and paint? Show your work.
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Answer:
yall help out alot
Step-by-step explanation:
The value of an irrigational number expression is estimated to be between 18 and 19. Which could be the expression
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Can some one help me its due today please help im struggling!!!
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Answer:
Problem 27: 35
Step-by-step explanation:
This is because 7 times (Multiplied) by 9-4 is 35. We get here by doing 9-4=5. This problem then turns into 7(5)
2\0.1 x 10\10 = it would help me a lot
Answers
Answer:
The answer is1 thank you
Matilda needs at least $112 to buy a new dress. She has already saved $40. She earns $9 an hour babysitting. Write and solve an inequality to find how many hours she will need to babysit to buy the dress. Interpret the solution.
Answers
she will need two more hours to buy the dress
In October sally drove 560 miles in her car.
the car travelled 34.5 miles for each gallon of petrol used
Petrol cost £1.08 per litre.
1 gallon = 4.55 litres.
Work out the cost of the petrol the car used in October
Answers
The cost of petrol the car used in October is;
Amount spent on fuel in October = £79.76
Distance sally drove in October = 560 miles
She used 1 gallon of petrol for every 34.5 miles she drove.
Thus, number of gallons of petrol she used for the month of October on the car = 560/34.5 gallons
Now, we are told that;
1 gallon = 4.55 litres
Thus; 560/34.5 gallons = (560/34.5) × 4.55/1
Quantity of petrol she used for the month in liters = 73.855 litres
Petrol costs £1.08 per liter.
Thus;
Amount spent on fuel in October = 1.08 × 73.855
Amount spent on fuel in October = £79.7634 ≈ £79.76
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How to find the area of each trapezoid step by estep
Answers
With that being said you just plug the numbers into the formula. I recommend using a calculator.
1. A = 1.5 + 3.3 / 2 x 2.9 = 6.96in^2
2. A = 0.6 + 2 / 2 x 2 = 2.6in^2
3. A = 1.4 + 4 / 2 x 3 = 8.1in^2
4. A = 1.6 + 4 / 2 x 2 = 5.6m^2
Hope this helped!
ASAP PLASE GIVING BRAINLEST
Answers
Answer:
answer C
Step-by-step explanation:
A chord of a circle is a straight line segment whose endpoints both lie on a circular arc. The infinite line extension of a chord is a secant line, or just secant.
A diameter is also a chord.
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Answer:
Number is is A Number 2 is 77 trust ik math
yall this one too i need help quick guys plz and ty
Answers
Answer:
b. (4,2)
Step-by-step explanation:
step one: isolate x in the first equation
substitute x=6-y: [tex]\begin{bmatrix}2\left(6-y\right)-2y=4\end{bmatrix}[/tex]
[tex]\begin{bmatrix}12-4y=4\end{bmatrix}[/tex]
[tex]-4y=-8[/tex]
[tex]y=2[/tex]
step two: isolate y in the second equation, substitute y=2
[tex]x=6-y[/tex]
[tex]x=6-2[/tex]
[tex]x=4[/tex]
Answer:
b
Step-by-step explanation:
Given the 2 equations
3x + 3y = 18 → (2)
2x - 2y = 4 → (2)
Multiplying (1) by 2 and (2) by 3 and adding the result will eliminate the y- term
6x + 6y = 36 → (3)
6x - 6y = 12 → (4)
Add (3) and (4) term by term to eliminate y
12x + 0 = 48
12x = 48 ( divide both sides by 12 )
x = 4
Substitute x = 4 into either of the 2 equations and solve for y
Substituting into (1)
3(4) + 3y = 18
12 + 3y = 18 ( subtract 12 from both sides )
3y = 6 ( divide both sides by 3 )
y = 2
solution is (4, 2 ) → b
Lena made a scale drawing of an arcade. She used the scale 1 inch : 4 feet. If an air hockey table is 2 inches long in the drawing, how long is the actual air hockey table?
Answers
Answer:
it's 8ft
Step-by-step explanation:
1=4 2=8just put 2and2 together
PLEASE HELP MEEE!!!!!
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what’s the perimeter?
The perimeter of a triangle Park shown on the rate is 13 X -7 what is the missing length
Answers
Answer:
The length of the missing side is 7x-5
Step-by-step explanation:
Here, we want to get the value of the missing length
Mathematically, the perimeter of a triangle can be obtained by adding the lengths of its sides
So by subtracting the sum of the lengths of the two given sides from that of the perimeter, we get the length of the third side of the triangle
mathematically, we have this as;
13x-7 -(4x + 2 + 2x-4)
13x-7 - (4x + 2x + 2-4)
= 13x-7 - (6x -2)
= 13x -7 -6x + 2
= 13x-6x -7 + 2
= 7x -5
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Answers
Answer:
x = 71°
Step-by-step explanation:
Segments of tangents from the same external point are congruent, that is
AT = BT
Then Δ ABT is isosceles with base angles congruent , so
x = [tex]\frac{180-38}{2}[/tex] = [tex]\frac{142}{2}[/tex] = 71°
Guys help me on this which is the correct answer:((
Answers
Answer:
A
Step-by-step explanation:
find x.
1. subtract 7 from 23 to get 16. then you dived 16 by -2 which gets you -8 so x is less than -8 :))
remember to flip inequality sign when dividing by a negative
You can represent the measures of an angle and its complement as x° and (90 - x)°. Similarly, you can represent the measures of and angle and is supplement as x° and (180 - x)°. Use these expressions to find the measure of the angles described. The measure of the supplement of an angle is three times the measure of its complement. The measure of the angle is________ degrees, the measure of its complement is degrees, and the measure of its supplement is ________degrees.
Answers
Answer:
The angle is equal to 45°, its complementary is equal to (90-45)°=45°, and its supplementar is equal to (180-45)°=135°
Step-by-step explanation:
Let the angle be equal to x°. We know that
[tex](180 - x) = 3(90- x)[/tex]
Therefore, solving for x, we have
[tex]180 - x = 270 - 3x \\ 2x = 90 \\ x = 45[/tex]
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97
Step-by-step explanation:
The perimeter is adding each side together, the equation is 3+33+15+33+3+10
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Step-by-step explanation:
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Each bag of rice has a mass of 1.2 kg.
In kilograms, what's the mass of each bag of flour?
Answers
The mass of each bag of flour is 2 kg.
What is mass?In physics, mass is a quantitative measure of inertia, which is a fundamental property of all matter. In the International System of Units, a kilogram is a unit of mass (SI).
How to solve this problem?Given that the mass of each bag of rice is 1.2 kg. We can see that there are 5 and 3 bags containing rice and flour respectively. First, we have to calculate the total weight of the right side of the weight machine. Then we equate it with the total weight of the left side of the weight machine.
Let, the mass of each bag of flour be y kg.
Now,
Weight of the right side = Weight of the left side
i.e. number of rice bags × mass of rice bags = no. of flour bags × mass of flour bags
i.e. 5 × 1.2 = 3 × y
i.e. 3y = 6.0
i.e. y =6/3=2
So, the mass of each bag of flour is 2 kg.
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Milo is volunteering at a food pantry. In the first hour, he packs 3 boxes every
5 minutes. In the second hour, he packs 5 boxes every 6 minutes. What is the
difference of his packing rates during each hour of his volunteer shift, in boxes
per hour?
Answers
60/5=12
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50-36=14
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Answers
Answer:
y=70° x=11
Step-by-step explanation:
.............ur welcome...........
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Answers
Answer:
3.65
Step-by-step explanation:
Suppose you have $20 in your bank account. You start saving five dollars each week. Your phone has $170 and removes $10 each week. When will you and your friend have the same amount in your account?
Answers
help help help help
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Answer:
15π cubic units
Step-by-step explanation:
the formula for the volume of a cone is:
V = (base area x height) / 3
In this case we have
(5π x 9)/3 = 15π cubic units
Answer:
235.5 Cubic Units
Step-by-step explanation:
V=1/3B*H
=1/3(π5^2)9
=1/3(3.14*25)9
=3(3.14*25)
=75*3.14=235.5 Cubic Units
What is the measure of angle 2?
Answers
Answer:
137
Step-by-step explanation:
38 + 48 = 86
86/2 = 43
180 - 43 = 137