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Helen [10]
2 years ago
12

Y is directly proportional to x 2 . If y = 112 when x = 4 find y when x = 9

Mathematics
1 answer:
ludmilkaskok [199]2 years ago
3 0

Answer:

y = 567

Step-by-step explanation:

y = x^2

y = kx^2 ........k is constant

112 = k * 4^2

k = 112/ 4^2

k = 7

so,

y = x^2

if x = 9

then,

y = 7 * 9^2

y = 567

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2a - 3b = -11<br> a + 3b = 8
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Answer:

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Step-by-step explanation:

You have your given equation:

2a - 3b = -11

a + 3b = 8

You need to find what a and b is.

To find b:

2a - 3b = -11

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I multiplied a + 3b = 8 by -2. When you multiply a number you have to multiply all of them. You have to choose a number that would cancel out all of a.

So now your equation would look like this when you solve for b:

2a - 3b = -11

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-------------------

a - 9 = -27 then you divide -9 to -27 which is 3 so b = 3.

To find a:

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I multiplied a + 3b = 8 by -1 and 2a - 3b = -11 by -1 as well.

Your equation will look like this when you solve for a:

-2a + 3b = 11

-1a - 3b = -8

------------------

-3a = 3 then divide -3 to 3 which is -1 so a = -1.

Check to see if you have the correct answer by plugging in the number you got for a and b into the equation and solve.

1. 2(-1) -3(3) = -11

 -2 - 9 = -11

2. -1 + 3(3) = 8

   -1 + 9 = 8

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