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antoniya [11.8K]
3 years ago
10

If two lines are parallel and they are defined by the equations, y=4x-5 and y=ax+2, what is the value of a?

Mathematics
1 answer:
tino4ka555 [31]3 years ago
6 0

Answer:

a=\dfrac{4x-7}{x}

Step-by-step explanation:

The equations of lines are :

y=4x-5 and y=ax+2

From above equations,

4x-5 = ax+2

4x-ax = 5+2

4x-7 = ax

a=\dfrac{4x-7}{x}

So, the value of a is equal to \dfrac{4x-7}{x}.

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What is the correct number below?
raketka [301]
I guess ot is 4181 !!
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4 years ago
Someone please help.
givi [52]

Answer:

<h2>174ft²</h2>

Step-by-step explanation:

Area of a Rectangle = L x W

L = 8

W = 6.5

Area of a Rectangle = 8 x 6.5 = 52

Surface Area = Area of a Rectangle x Number of Rectangles

Surface Area = 52 x 2 = 104

Area of a Rectangle = L x W

L = 8

W = 5

Area of a Rectangle = 8 x 5 = 40

Surface Area = Area of a Rectangle x Number of Rectangles

Surface Area = 40 x 1 = 40

Area of a Triangle = B x H x 1/2

B = 5

H= 6

Area of a Triangle  = 5 x 6 x 1/2 = 15

Surface Area = Area of a Triangle x Number of Triangles

Surface Area = 15 x 2 = 30

Surface Area = Sum of Surface Areas =

104 + 40 + 30 = 174ft²

5 0
3 years ago
Read 2 more answers
Find out the value of X, if√x=9 <br>​
weeeeeb [17]
To find this answer, take both sides of the equality and square them:

(√ײ)=9²

This gives you:

×=81
5 0
3 years ago
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Find an equivalent system of equations for the following system: 3x + 3y = 0 −4x + 4y = −8 3x + 3y = 0 7x − y = 8 3x + 3y = 0 −7
Charra [1.4K]

Answer:

A.

3x + 3y = 0

7x − y = 8

Step-by-step explanation:

Given

3x + 3y = 0

-4x + 4y = -8

Required

Find the equivalent

To solve for the equivalent we simply solve for x and y in the given equation.

Subtract 3x from both sides in 3x + 3y = 0

3x - 3x + 3y = 0 - 3x

3y = -3x

Multiply both sides by ⅓

⅓ * 3y = -3x * ⅓

y = -x

Substitute -x for y in -4x + 4y = -8

-4x + 4(-x) = -8

-4x -4x = -8

-8x = -8

Multiply both sides by -⅛

-⅛ * -8x = -⅛ * -8

x = 1

Recall that y = -x

y = -1

So, we have that x = 1 and y = -1

We'll substitute these values in the list of options;

A.

3x + 3y = 0

7x − y = 8

7(1) - -(1) = 8

7 + 1 = 8 ----- This is equivalent

B.

3x + 3y = 0

−7x − y = 8

-7(1) - (-1) = 8

-7 + 1 = 8

-6 ≠ 8 .... This is not an equivalent expression

C.

3x + 3y = 0

−7x + 7y = 8

-7(1) + 7(-1) = 8

-7 -7 = 8

-14 ≠ 8 .... This is also not an equivalent expression

D.

3x + 3y = 0

-4x + 7y = 8

-4(1) + 7(-1) = 8

-4 -7 = 8

-11 ≠ 8 -_- This is also not an equivalent expression

6 0
4 years ago
A student is trying to construct triangles using four different sets of angles. Th angles in each set are given below. Which set
sladkih [1.3K]

Well I can't be for sure but I know for a fact its not set IV it's not possible to make a triangle out of all right angles. Set II, well, that isn't right either. You can't make a triangle out of all obtuse angles. Like the right angle one, its not possible you can only use one obtuse or right angle in a triangle other wise it's not going to be a triangle. I'd say go try Set III since that would most likely make an equilateral triangle.

5 0
3 years ago
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