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2 years ago

40 POINTS

Mathematics

1 answer:

mixer [17]2 years ago

6 0

Answer:

Step-by-step explanation:

Linear equation form: y = mx + b

(where m is the slope and b is the y-intercept)

The rate of change for a line is the slope.

Function 1: y = 6

⇒ the slope is zero so the rate of change is zero

Function 2: y = 2x + 7

⇒ the slope is 2 so the rate of change is 2

Therefore, 2 - 0 = 2

So the rate of change of function 2 is 2 more than the rate of change of function 1

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Answer:

58 divided by 4= 14.5

Step-by-step explanation:

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B) The number of volume of a cylinder is half of its number of the total surface area.

faust18 [17]

Answer:

$V=179.6cm^3$

Step-by-step explanation:

the volume of a cylinder is given by:

$V=\pi r^2h$

where r is the radius and h is the height.

and the surface area:

$SA=2\pi r^2+2\pi rh$

the first term is the area of the circles and the second term is the area of the body.

since "The number of volume of a cylinder is half of its number of the total surface area." we will have that:

$V=\frac{1}{2}SA$

substitutig the equivalent expressions on each side:

$\pi r^2 h = \frac{1}{2} (2\pi r^2+2\pi r h)$

and we simplify and solve for the height (since is the value we don't know of the cylinder):

$\pi r^2 h = \pi r^2+\pi r h\\\pi r^2h-\pi rh=\pi r^2\\h(\pi r^2-\pi r)=\pi r^2\\h=\pi r^2/(\pi r^2-\pi r)$

we substitute the value of the radius $r=7cm$ , and we get:

$h=\pi (7cm)^2/(\pi (7cm)^2-\pi (7cm))\\h=153.938/(153.938-21.991)\\h=153.938/131.947\\h=1.1666cm$

thus the volume is:

$V=\pi r^2h$

$V=\pi (7cm)^2(1.1666cm)\\V=179.6cm^3$

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Answer: 93

Step-by-step explanation:

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iren [92.7K]

I believe the ansr would be (-6,-4) I say this becuase if it's positive on the y axis the X axis will be negative and if it's being reflected the coordinates will be backwards. If this answer is wrong I'm truly sorry, but I hope this helps!

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2 years ago