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2 years ago

What is the equation of the line if the line passes through (4, 4) and the y-intercept is −4.

Mathematics

2 answers:

tresset_1 [31]2 years ago

3 0

Y = mx+c

m is the gradient and c is the y-intercept so

4 = m(4) + (-4)

4 = 4m - 4

4m = 8

m = 2

Ans: Y = 2x - 4

labwork [276]2 years ago

3 0

4 = 4m - 4
8 = 4m
2 = m

y = 2x - 4

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2 years ago

Find the volume of the cone. Use 3.14 for π. Round to the nearest tenth.

Leviafan [203]

$Volume\,\,of\,\,cone=1527.1\,\,cm^3$

So, Option C is correct.

Step-by-step explanation:

We need to find Volume of cone.

We are given:

π = 3.14

Length = 27 cm

Diameter = 15 cm

The formula used to find Volume of cone is:

$Volume\,\,of\,\,cone=\frac{1}{3}\pi r^2h$

We are given diameter but we need radius in the formula

So, Radius = Diameter/2 = 15/2 = 7.5 cm

We need to find height of cone.

Using Pythagoras theorem:

$h^2=p^2+b^2\\ (27)^2=p^2+(7.5)^2\\729=p^2+56.25\\p^2=729-56.25\\p^2=672.75\\Taking\,\,square\,\,root:\\p=25.93$

So, Height of cone = p= 25.93

So, r= 7.5 and h= 25.93 and π = 3.14

Putting values in the formula:

$Volume\,\,of\,\,cone=\frac{1}{3}3.14*(7.5)^2*25.93$

$Volume\,\,of\,\,cone=1526.62$

Rounding off to the nearest tenth:

$Volume\,\,of\,\,cone=1527.1\,\,cm^3$

So, Option C is correct.

Keywords: Volume of cone.

Learn more about Volume of cone at:

#learnwithBrainly

6 0

3 years ago

What is the equation of the line if the line passes through (4, 4) and the y-intercept is −4.​

What is the equation of the line if the line passes through (4, 4) and the y-intercept is −4.