Answer:
C(5,-9) and r=8.
Step-by-step explanation:
C(p, q) - center
r=radius
k:x^2 +y^2 +dx+ey+f=0
x^2+y^2 - 10x+18y+42=0
d=-10, e=18, f=42
p=-d/2=-(-10)/2=10/2=5
q=-e/2=-18/2=-9
r^2 =p^2+q^2-f
r^2 =5^2 +(-9)^2 - 42
r^2=25+81-42
r^2 =106-42
r^2 =64
r=sqrt(64)
r=8
C(p,q)=C(5,-9) r=8
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Step 1: Simplify both sides of the equation.
17−2n=9
17+−2n=9
−2n+17=9
Step 2: Subtract 17 from both sides.
−2n+17−17=9−17
−2n=−8
Step 3: Divide both sides by -2.
−2n−2=−8−2
n=4
Using conversion of units and volume of a cylinder, it is found that 23.17 cubic yards of concrete are needed, option D.
The volume of a cylinder of radius r and height h is given by:

In this problem:
- We want the volume in cubic yards, thus, the units of radius and height have to be in yards.
- 32 inches in diameter, thus 16 inches of radius. Since each inch has 0.0278 yards, this is a radius of 0.44 yards, thus
. - Height of 8 feet, and since each feet has 0.33 yards, this is a height of 2.67 yards, thus

- 14 poles, thus the volume is multiplied by 14.
Then:

23.17 cubic yards of concrete are needed, option D.
A similar problem is given at brainly.com/question/22789697