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lesya692 [45]
3 years ago
8

PLEASE HELP!

Mathematics
1 answer:
Colt1911 [192]3 years ago
5 0

Answer:

The volume of the new can is V_2=160x^3\pi\ cm^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

z ----> the scale factor

In this problem

z=x

The volume of the original can is

V_1=\pi r^{2}h

The volume of the new can is

V_2=z^{3}V_1

V_2=x^3(\pi r^{2}h)

we have

r=4\ cm\\h=10\ cm

substitute

V_2=x^3(\pi (4)^{2}10)

V_2=160x^3\pi\ cm^3

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Which of the following is the equation of the line that is parallel to y=35x+8 y = 3 5 x + 8 and goes through point (-10,4)?
xeze [42]

Slope-intercept form of a line is y=mx+b.

Where m= slope and b= y-intercept.

First step is to compare the given equation y=35x+8 with the above equation to get the value of m.

After comparing the two equations we will get m=35.

Slope of paralle lines always equal which means slope of a line which is parallel to the above line will also be 35.

Now the line is passing through (-10,4).

Point slope form of a line is :

y-y_{1} =m(x-x_{1} )

Next step is to plug in m=35, x1=-10 and y1=4 in the above equation. So,

y-4=35(x-(-10)

y-4=35(x+10)

y-4=35x+350

y=35x+350+4

y=35x+354.

So, the equation of the line is y=35x+354.

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