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iren [92.7K]
3 years ago
9

For the following system of equations, what is the x-value of the solution?

Mathematics
1 answer:
lesantik [10]3 years ago
4 0

Answer:

  x = 0

Step-by-step explanation:

Multiply the first equation by -3 and add the second equation.

  -3(-x +2y) +(6y) = -3(6) +(x +18)

  3x -6y +6y = -18 +x +18 . . . . eliminate parentheses

  3x = x . . . . . . . . .simplify

  2x = 0 . . . . . . . . subtract x

  x = 0 . . . . . . . . . .divide by 2

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Elena-2011 [213]
The answer will be 62.4. We know this because of the next procedure:
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the height of the cone is 12.
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3 0
3 years ago
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During a class election 12 people voted for candidate A. If there were 42 votes total, what is the ratio of votes for candidate
yarga [219]
12:30
A to B

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3 0
3 years ago
Find the surface area of the prism. 6.5 feet, 6, 2.5 feet, 11 feet
maxonik [38]
First find the front and back
2(b * h/2)
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3 0
3 years ago
A triangle with vertices at A(20, –30), B(10, –15), and C(5, –20) has been dilated with a center of dilation at the origin. The
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Answer:

One-fifth

Step-by-step explanation:

step 1

Find the distance between the origin and the point B

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

O (0,0) and B(10, –15)

substitute

d=\sqrt{(-15-0)^{2}+(10-0)^{2}}

d=\sqrt{325}\ units

step 2

Find the distance between the origin and the point B'

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

O (0,0) and B'(2,-3)

substitute

d=\sqrt{(-3-0)^{2}+(2-0)^{2}}

d=\sqrt{13}\ units

step 3

Find the scale factor of the dilation

The scale factor is equal to divide the length of segment OB' by the length of segment OB

so

\frac{\sqrt{13}}{\sqrt{325}}=\frac{1}{5}

so

One-fifth

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3 years ago
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Answer:

Step-by-step explanation:

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