b) What is the maximum height of the ball? 49m c) What is the horizontal distance when this occurs? 28m e) At what height was the ball kicked? uo 36m دنی 20. d) What is the height of the ball at a horizontal the distance of 20 m? 45m 10 Lo → 30 X=28 Y = 49 90 50 d

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter5: Solving Systems Of Linear Equations
Section: Chapter Questions
Problem 4CA
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What is the maximum height of the ball

what is the horizontal distance when this occurs 

what is the height of the ball at horizontal distance of 20m

at what height was the ball kicked

C
Ex 3) The cables of a suspension bridge form parabolas. If the minimum point of the centre
cable is placed at the origin, determine an equation for each parabola. Describe the values of
x for which each equation is valid.
(-50,30)
(logo)
←50 m
the
100 m
-01
(50.30)
50 m →
eel is valid for
30 m
+
(00,0)
b) What is the maximum height of the ball?
49m
c) What is the horizontal distance when this
occurs?
28m
e) At what height was the ball kicked?
d) What is the height of the ball at a horizontal
distance of 20 m?
45m
-5 < x < 50
3
250
16
Ex 4) The path of a soccer ball is modelled by the relation h = -(d- 28)² + 49, where d
is the horizontal distance, in metres, after it was kicked, and h is the height, in metres, above
the ground.
y = a (x-h) ²+ k
(28,+49)
a) Sketch the path of the soccer ball.
for the parobla is the middle
ya (x0) ²0
y=ax²
Sub (50,30)
30=450²
30 = a.2500
30
2504
36m
h
uo
30
دانی
20
= CA
A
:.y=
30
X = 28 Y = 49
J
3
250
#
40
X
In the linea.
relation. Is it
2
50
able of L
ate the f
d
3
3
Page | 11
3
5
ces
enc
ec
at
V
Transcribed Image Text:C Ex 3) The cables of a suspension bridge form parabolas. If the minimum point of the centre cable is placed at the origin, determine an equation for each parabola. Describe the values of x for which each equation is valid. (-50,30) (logo) ←50 m the 100 m -01 (50.30) 50 m → eel is valid for 30 m + (00,0) b) What is the maximum height of the ball? 49m c) What is the horizontal distance when this occurs? 28m e) At what height was the ball kicked? d) What is the height of the ball at a horizontal distance of 20 m? 45m -5 < x < 50 3 250 16 Ex 4) The path of a soccer ball is modelled by the relation h = -(d- 28)² + 49, where d is the horizontal distance, in metres, after it was kicked, and h is the height, in metres, above the ground. y = a (x-h) ²+ k (28,+49) a) Sketch the path of the soccer ball. for the parobla is the middle ya (x0) ²0 y=ax² Sub (50,30) 30=450² 30 = a.2500 30 2504 36m h uo 30 دانی 20 = CA A :.y= 30 X = 28 Y = 49 J 3 250 # 40 X In the linea. relation. Is it 2 50 able of L ate the f d 3 3 Page | 11 3 5 ces enc ec at V
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