1. <span>Simplify -9 + -2m to -9 - 2m
-3m = -9 - 2m
2. </span><span>Add </span>2m <span>to both sides
-3m + 2m = -9
3. </span><span>Simplify -3m + 2m to -m
-m = -9
4. </span><span>Multiply both sides by </span><span><span>−<span>1
m = 9
Done! :) our answer is m = 9</span></span></span>
Answer:
LCD = 8
Step-by-step explanation:
4/8=4/8
3/4= 6/8
1/2=4/8
Answer:
Step-by-step explanation:
The total surface area of the sphere = 2πr²
Total surface area of the cylinder = 2πr²+2πrh
Total surface area of the solid = 4πr²+2πrh
r is the radius of the sphere and the cylinder
h is the height of the cylinder
Total surface area of the solid = 2πr(r+h)
If the total height of the solid is 18 cm, then r+h = 18cm
Given the Total surface area of the solid = 205π cm
205π = 2πr(r+h)
205π = 2πr(18)
205π = 36πr
205 = 36r
Divide both sides by 36
205/36 = 36r/36
r = 5.69cm
Since r+h = 18cm
5.69+h = 18
h = 18-5.69
h = 12.31cm
Answer:
42 degrees
Step-by-step explanation:
48 and r are equal.
The box means right angle, or 90 degrees
180-90-48=42 degrees
Answer:
y = 1/2x +6
Step-by-step explanation:
We have a point and a slope. Therefore we can use the point slope form to create a line
y-y1 = m(x-x1)
y-5 = 1/2(x--2)
y-5 = 1/2(x+2)
Distribute the 1/2
y-5 = 1/2x +1
Add 5 to each side
y-5+5 = 1/2x +1+5
y = 1/2x +6
This is in slope intercept form
