Answer:

Step-by-step explanation:
we know that
The equation of the line into point slope form is equal to

In this problem we have


substitute the given values

y minus StartFraction one-third EndFraction equals StartFraction 3 Over 4 EndFraction left-parenthesis x minus 4 right-parenthesis.(x – 4)

=

Multiply both sides by 3
z + 6 =

Multiply both sides by 4
(4)z + 6 = (3)2z Simplify
4z + 24 = 6z Subtract 4z from both sides
24 = 2z Divide both sides by 2
12 = z Flip the sides to make it easier to read
z = 12
Answer:

Step-by-step explanation:
The volume is the space an object occupies. The volume formula for a cylinder is provided and it is:

Where:
The radius is the distance from the center of the circle to the edge, and it is 4 feet. The height is 8 feet. We are told to use 3 for pi.
Substitute the values into the formula.

Solve the exponent.
- (4 ft)²= 4 ft * 4 ft = 16 ft²

Multiply the three numbers together.


The volume of the cylinder is approximately <u>384 cubic feet.</u>
Let the lowest score be x.
<u>The 3 consecutive even scores are:</u>
1st score = x
2nd score = x + 2
3rd score = x + 4
-
<u>Sum of their score is 270:</u>
x + (x + 2) + (x + 4) = 270
-
<u>Solve x:</u>
x + (x + 2) + (x + 4) = 270
x + x + 2 + x + 4 = 270
3x + 6 = 270
3x = 264
x = 88
-
<u>Find their scores:</u>
1st score = x = 88
2nd score = x + 2 = 88 + 2 = 90
3rd score = x + 4 = 88 + 4 = 92
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Answer: The scores are 88, 90 and 92