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3 years ago

Solve the system of equations. y=3x-1 and y=-2x+9. PLEASE SHOW WORK

Mathematics

1 answer:

kow [346]3 years ago

7 0

Since both equations equal Y, set them equal to each other and solve.

3x -1 = -2x +9

Add 2x to each side:

5x - 1 = 9

Add 1 to each side:

5x = 10

Divide both sides by 5:

x = 10/5

x = 2

Now replace x with 2 and solve for y:

y = 3(2) -1 = 6-1 = 5

x = 2, y = 5 (2,5)

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What is the ratio of the area of the inner square to the area of the outer square?

Anastasy [175]

Answer:

$\frac{(a-b)^2+b^2}{a^2}$

Step-by-step explanation:

Since, By the given diagram,

The side of the inner square = Distance between the points (0,b) and (a-b,0)

$=\sqrt{(a-b-0)^2+(0-b)^2}$

$=\sqrt{(a-b)^2+b^2}$

Thus the area of the inner square = (side)²

$=(\sqrt{(a-b)^2+b^2})^2$

$=(a-b)^2+b^2\text{ square cm}$

Now, the side of the outer square = Distance between the points (0,0) and (a,0),

$=\sqrt{(a-0)^2+0^2}$

$=\sqrt{a^2}=a$

Thus, the area of the outer square = (side)²

$=a^2\text{ square cm}$

Hence, the ratio of the area of the inner square to the area of the outer square

$=\frac{(a-b)^2+b^2}{a^2}$

4 0

3 years ago

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What is the solution of the system of linear equations below?

Kipish [7]

Answer:

A is the correct answer

Step-by-step explanation:

To get the fastest answer for these kind of questions, you just have to apply (0, -2) into either one of the 2 equations:

2 * 0 - 6 * (-2) = 12

0 - (-12) =12

0 + 12 = 12 (TRUE)

So the solution will be (0, -2)

6 0

4 years ago

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What is the value of x in the equation 3x - 4y=65, when y=4? N

4vir4ik [10]

Answer:

x =27

Step-by-step explanation:

3x - 4y=65

lets substitute the value of y in the equation:

3x -4(4) =65

3x = 65 +16

3x= 81

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x = 27

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3 years ago

Clark says that his parents car is 96 units long. Jay says that parents car is 8 units long. Which customary unit of length was

Ivahew [28]

96x8=768 and that would be your answer

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4 years ago

I need someone to explain this for me

Novay_Z [31]

Answer:

x = 6

Step-by-step explanation:

Basically 16x + 14 = 180 - 70 because equal angles are subtended by the transversal for two parallel lines.

So, 16x = 96 and x = 6.

MARK AS BRAINLIEST.

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2 years ago

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