Answer:
x = 18
Step-by-step explanation:
The parts of the triangles are proportional, so you can write ...
2x/80 = 27/60
Multiply by 120:
3x = 54
Divide by 3:
x = 18
2i(4+5i)(4-5i) =82i
4+i nothing more can be done it is at simplest form
so
=
so your answer is
Answer:
The circumference and area of a circle with a 17 ft diameter are:
C = 53.4 ft
A = 227 ft2
Answer is a Decimal: x=-0.4
The height is 9.875 feet from which the goalkeeper catches the ball.
The player kicks soccer from a height of 2 feet
x = 0 and y = 2
Maximum height of 20 feet after traveling 40 feet
x = 40, y = 20
So let y = a(x - 40)² + 20 ( the path of parabola)
Since x = 0 , y = 2
So, 2 = a(0 - 40)² + 20
2 = 1600a + 20
-18 = 1600a
a = - 9/800
Thus, y = -9/800(x - 40)² + 20
Since the soccer is caught by the goalkeeper 70 feet from where it was kicked
x = 70
So at this time,
y = -9/800 ( 70 - 40)² + 20
= -9/800 × 900 + 20
= - 81/8 + 20
= 79/ 8
= 9.875 feet
Therefore the height at which the goalkeeper catches the ball is 9.875 feet.
To know more about the height refer to the link given below:
brainly.com/question/27030273
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