Write an equation in slope intercept form for the line with slope -7 and y intercept 9

Mathematics

1 answer:

zysi [14]3 years ago

4 0

Slope intercept form is y = ax + b, where a is equal to the slope value, and b is equal to the y-intercept.

You have both the slope and y-intercept, which means that all you need to do is plug in the numbers to the equation in order to get your answer!

Let's plug in -7 for a, which gives you y = -7x + b.

Next, we'll plug in the y-intercept, which gives you y = -7x + 9.

Hope this helps!! :)

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2) A cake in the shape of a circus tent is used as a centerpiece at a celebration. The cake consists of a cylinder and a cone.Th

zavuch27 [327]

You have:

- The diameter of the cylinder is 12 inches and its height is 14 inches.
-The height of the cone is 6 inches.

So, you must apply the formula for calculate the volume of the cylinder a the formula for calculate the volume of a cone.

V1=πr²h

V1 is the volume of the cylinder.
r is the radius.
h is the height (h=14 inches)

The problem gives you the diameter, but you need the radius, so you have:

r=D/2
r=12 inches/2
r=6 inches

When you substitute the values into the formula, you obtain:

V1==πr²h
V1=(3.14)(6 inches)²(14 inches)
V1=1582.56 inches³

The volume of the cone is:

V2=(πr²h)/3

V2 is the volume of the cone.
r is the radius (r=6 inches)
h is the height of the cone (h=6 inches).

Then, you have:

V2=(πr²h)/3
V2=(3.14)(6 inches)²(6 inches)/3
V2=226.08 inches³

Therefore, the volume of the cake (Vt) is:

Vt=V1+V2
Vt=1582.56 inches³+226.08 inches³
 Vt=1808.6 inches³

8 0

3 years ago

Francis works at Carlos Bakery and is making cookie trays. She has 48 chocolate chip cookies, 64 rainbow cookies, and 120 oatmea

amm1812

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