Answer:
r = 44
Step-by-step explanation:
12 = r - (34 - 2)
Solve for r
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To solve, we need to isolate r.
Distribute the negative sign with the numbers within the parenthesis :
12 = r - 34 + 2
Add like terms :
12 = r - 32
Add 32 to both sides :
44 = r
r = 44
Answer:
Length = 12
Width = 8
Height = 4
Step-by-step explanation:
Let length of box = l
Width = 2/3 * l
Height = 1/3 * l
Volume of the box = 384 ft³
Volume = Length * width * height
Volume of box = l * 2/3 l * 1/3 l
384 = 2l³ / 9
384 * 9 = 2l³
3456 = 2l³
l³ = 3456 / 2
l³ = 1728
Take the Cube root of 1728
l = 12
Length = 12
Width = 2/3 * 12 = 8
Height = 1/3 * 12 = 4
Answer:
y=9
Step-by-step explanation:
slope is (y2-y1)/(x2-x1), so we plug in the values. (-4-y)/(0 - (-2)). so we get -4-y/2 since zero minus negative 2 is positive 2. given the slope is -13/2, -4-y must be equal to negative 13. So we set an equation of -13 = -4 - y. We add 4 to 13, and get -9 = -y. We multiply each side by a -1, and we get y equals 9.
We can check this by plugging 9 back into our original slope equation. (-4-9)/(0-(-2) which gives us -13/2.
The cross-section of a sphere is a circle . The area of a circle can be calculated by the formula A= 
Where r is the radius of the circle.
Given :
Solving for r we have:
Or r= 10.
The area of a sphere is calculated by the formula :
Substituting r value we have:
SA= 
The total surface area of this sphere is 400π .
We solve this equation : 4y+6=-2
4 y+ 6=-2
4y=-2-6
4y=-8
y=-8/4
y=-2
Therefore: It has one solution .
