You are told x = 8y -4
Replace x in the second equation with 8y-4:
8y-4 + 8y = 6
Combine like terms:
16y-4 = 6
Add 4 to both sides:
16y = 10
Divide both sides by 16:
Y = 10/16
Simplify:
Y = 5/8
Now replace y with 5/8 do find x:
X = 8(5/8) -4 = 5-4 = 1
X = 1, y = 5/8
(1,5/8)
2x + 5x + 4 = 25
7x + 4 = 25
7x = 25 - 4
7x = 21
x = 21/7
x = 3 <==
Answer:
if by distance around the hula hoop you mean circumference, then -
circumference = 2 pi r
= 2 X 22/7 X 14
= 4 X 22
= 88in
It would be helpful if you draw a figure of the problem statement so that you would understand it clearly. You would see that a right triangle would be formed where the base is equal to the horizontal distance from the airplane to the atoll which is 5172 and the angle from the ground to the atoll would be equal to the angle of depression. We calculate as follows:
tan (theta) = opposite/ adjacent
tan (10) = height / 5172
height = 911.96 units of length
