Answer:
x = -9
Step-by-step explanation:
-15x - 40 = 23 - 8x
Add 8x to both sides
-15x + 8x - 40 = 23
-7x - 40 = 23
Add 40 to both sides
- 7x = 23 + 40
-7x = 63
Divide both sides by (-7)
x = 63/-7
x = -9
Answer:
y = -2x - 8
Step-by-step explanation:
<u>Use the point slope form: (y - y1) = m(x - x1)</u>
(y - (-4)) = -2(x - (-2))
y + 4 = -2(x + 2)
y + 4 - 4 = -2x - 4 - 4
y = -2x - 8
Answer: y = -2x - 8
<h2 /><h2>45 - 20 = m</h2><h2 /><h2>OR m = 45 - 20</h2><h2 /><h2>Hope that helps!</h2>
<span>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=</span>πr²h
<span>
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==</span>πr²h
V1=(3.14)(6 inches)²(14 inches)
V1=1582.56 inches³<span>
The volume of the cone is:
V2=(</span>πr²h)/3
<span>
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:
</span>
V2=(πr²h)/3
V2=(3.14)(6 inches)²(6 inches)/3
V2=226.08 inches³
<span>
Therefore, </span>the volume of the cake<span> (Vt) is:
Vt=V1+V2
Vt=</span>1582.56 inches³+226.08 inches³
<span> Vt=1808.6 inches</span>³
