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2 years ago

Which equation represents a line with a slope of 4 that passes through the point (1, 3)?

Mathematics

1 answer:

alina1380 [7]2 years ago

3 0

Answer:

y = 4x - 1

Step-by-step explanation:

The line has a slope of 4.

And passes through the point (1,3)

Taking another point (x,y) on the line;

$\frac{y - 3}{x - 1}$ = 4

y - 3 = 4x - 4

y = 4x - 4 + 3

y = 4x - 1

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Grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height. how high

bezimeni [28]

Given that grain is falling from a chute onto the ground, forming a conical pile whose diameter is always three times its height.

So if D is the diameter and h is the height of the conical pile then we can write:

D=3h

We know that diameter = 2r, where r is the radius

2r=3h

$r=\frac{3h}{2}$

Volume of conical pile is given by formula

$V=\frac{1}{3}\pi r^2h$

Given that volume is 1110 cubic feet.

Now plug the values of Volume and r into equation of volume

$1110=\frac{1}{3}\pi (\frac{3h}{2})^2h$

$1110=\frac{1}{3}\pi\cdot\frac{9h^2}{4}\cdot h$

$1110=\pi\cdot\frac{3h^3}{4}$

$1110\cdot\frac{4}{3\pi}=h^3$

$471.098631552=h^3$

take cube root of both sides

7.78103342467=h

Hence height is approx 7.78 feet.

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3 years ago

A , B, C , D probability

BlackZzzverrR [31]

Answer:

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2 years ago

30 mins = how many seconds???

horrorfan [7]

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2 years ago

Read 2 more answers

Which elephants weight is 2.86 tons when rounded to the nearest hundredth.

Naily [24]

Answer:

An elephant

Step-by-step explanation:

2.86 tons is the weight of an elephant.

5 0

3 years ago

BRAINLIEST.In which quadrant does the point (-5, 21) lie?

DanielleElmas [232]

Answer:

Point (-5,21) would end up in quadrant II (2).

Step-by-step explanation:

It would end up in quadrant 2 because x=-5 which means it would go left.

y=21 which means it would go up.

Because of this, the point would end up in the top left of the graph which is quadrant 2.

4 0

2 years ago