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3 years ago

Please help. 15 points. Show all work. Thank you.

Mathematics

1 answer:

Georgia [21]3 years ago

4 0

Surface = 2 x PI x r x H + 2 x PI x r^2

= 2 x r x h + 2 x r^2

= 2 x 6 x 12 + 2 x 6^2

= 144 + 72
= 216 PI in^2
Answer is A

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Answer:

Part 1) The rate of change is $\frac{1}{3}$

Part 2) The initial value is $12$

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or rate of change

b is the y-intercept or initial value

step 1

Find the slope or rate of change

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the points

(3,13) and (6,14)

substitute the values in the formula

$m=\frac{14-13}{6-3}$

$m=\frac{1}{3}$

therefore

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step 2

Find the initial value

we have

$m=\frac{1}{3}$

$point\ (3,13)$

substitute in the equation $y=mx+b$

$13=\frac{1}{3}(3)+b$

solve for b

$13=1+b$

$b=13-1=12$ ---> initial value

The linear equation is equal to

$y=\frac{1}{3}x+12$

The y-intercept or initial value is 12

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