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3 years ago

Use the substitution method to solve the system of equations. Choose the correct ordered pair. x+y=10 y=x-6

Mathematics

2 answers:

kenny6666 [7]3 years ago

8 0

The coordinate (8,2) is the solution

Ede4ka [16]3 years ago

7 0

Answer:

Solution ( 8 , 2) .

Step-by-step explanation:

Given : x+y=10 and y=x-6.

To find : Use the substitution method to solve the system of equations.

Solution : We have given

x+y=10------(1)

y=x-6 -------(2)

Substitute the equation 2 in equation 1 .

x + x -6 = 10 .

2x - 6 = 10

On adding both sides by 6

2x = 10 + 6.

2x = 16.

On dividing both sides by 2

x = 8.

On plugging x = 8 in equation 1

8 + y = 10 .

On subtracting both sides by 8

y = 10 -8

y = 2 .

Pair ( 8 , 2) .

Therefore, Solution ( 8 , 2) .

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Javier has a model of a cone with a radius of 3 inches and a height of 10 inches. Javier increased his model’s volume by doublin

statuscvo [17]

Answer:

$240 \pi\ in^{3}$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

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x-----> the volume of the larger cone

y-----> the volume of the original cone

$z^{3}=\frac{x}{y}$

In this problem we have

$z=2$ -----> scale factor

substitute

$2^{3}=\frac{x}{y}$

$8=\frac{x}{y}$

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That means-----> The volume of the larger cone is 8 times the volume of the original cone

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$r=3\ in$

$h=10\ in$

substitute

$V=\frac{1}{3}\pi (3^{2})(10)=30 \pi\ in^{3}$

therefore

The volume of the larger cone is equal to

$8*30 \pi\ in^{3}=240 \pi\ in^{3}$

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uysha [10]

Answer:

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