Answer:
-3+x=x+4
Step-by-step explanation:
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Equation of a tangent line of a curve is:
y- y0 = f´ (x0) (x - x0 ). In this case: x0=1, y0=1
f´(x)=
(Derivation)
f´(x0)=
y - 1 = 1/2 ( x - 1 )
y - 1 = 1/2 x - 1/2
y = 1/2 x - 1/2 + 1
y =
Answer:
r = 11/2
Step-by-step explanation:
m = slope
slope, m = (y2 - y1)/(x2 - x1)
-4 = (7 - 9)/(r - 5)
cross multiply
-4(r - 5) = 7 - 9
clearing brackets
-4r + 20 = -2
-4r = -22
r = 22/4 = 11/2
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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Answer:
17
Step-by-step explanation:
3 multiply by 5 (which is x) = 15+2
