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natka813 [3]
3 years ago
7

Which of the following equations could be parallel to the equation x = 5

Mathematics
1 answer:
seraphim [82]3 years ago
4 0

Answer:

B

Step-by-step explanation:

x = 5 is the equation of a vertical line parallel to the y- axis

The equation of a line parallel to it must have the same form, that is

x = - 2 ← vertical line parallel to x = 5

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a film canister in the shape of a cylinder has a height of 8 centimeters and a volume of the film canister. write an equation fo
uranmaximum [27]

Answer:

Part a) The equation for the volume of the film canister is

32\pi=\pi r^{2}(8)

Part b) The radius of the film canister is 2\ cm

Step-by-step explanation:

<u><em>The complete question is</em></u>

A film canister in the shape of a cylinder has a height of  8 centimeters and a volume of 32π cubic centimeters.

a. Write an equation for the volume of the film canister.

b. What is the radius of the film canister?

Part a) Write an equation for the volume of the film canister

we know that

The volume of a cylinder is equal to

V=\pi r^{2} h

where

r is the radius of the circular base

h is the height of the cylinder

we have

V=32\pi\ cm^3

h=8\ cm

substitute

32\pi=\pi r^{2}(8) ----> equation for the volume of the film canister

Part b) What is the radius of the film canister?

we have

32\pi=\pi r^{2}(8)

32\pi=8\pi r^{2}

Simplify

Divide by 8π both sides

4=r^{2}

square root both sides

r=2\ cm

8 0
3 years ago
Is -1/3 - 4/5 positive, negative, or zero?<br> HELP PLS ILL GIVE BRAINLIEST FOR THE CORRECT ANSWER
natali 33 [55]

Answer:

Negative, -17/15

Step-by-step explanation:

5 0
3 years ago
Jeremy's grandfather is four times as old as he is. If you add their ages together, you will get ninety. How old is Jeremy's gra
diamong [38]
Let Jeremy's age be x
if Jeremy's grandfather is four times as old as he is,grandfather's age is 4x
if the sum of their ages is 90, we have
x%2B4x=90
5x=90
x=90%2F5
x=18->Jeremy's age
Jeremy's grandfather will be 4x=4%2A18=72
answer:
D. 72
8 0
3 years ago
A pencil case with a cylinder shape with diameter= 10 cm
Mila [183]

Answer:

length of the longest pencil that can fit must be less than 13cm

Step-by-step explanation:

To get the longest pencil that fit the case, we will use the pythagoras theorem;

diameter = 10cm

radius = 10/2

radius = 5cm

Height = 12cm

Get the length of the longest side

l² = r²+h²

l² = 5²+12²

l² = 25 + 144

l² = 169

l = √169

l = 13cm

Hence the length of the longest pencil that can fit must be less than 13cm

4 0
3 years ago
Simplify the rational expression.
o-na [289]

Answer:

\large\boxed{\dfrac{x^2-4x-32}{x+4}=x-8}

Step-by-step explanation:

\dfrac{x^2-4x-32}{x+4}=\dfrac{x^2+4x-8x-32}{x+4}=\dfrac{x(x+4)-8(x+4)}{x+4}\\\\=\dfrac{(x+4)(x-8)}{x+4}\\\\\text{canceled}\ (x+4)\\\\=x-8

7 0
3 years ago
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