The correct answer is
D) 1/2
because
5/10 = 1/2
Next 3 terms : 135, 405, 1215
Answer:
Step-by-step explanation:
Line equation is given as y = mx + b
Where, m is the slope of the line, which is,
b is the y-intercept. It is the point at which the line crosses the y-axis for which the value of x = 0.
=>Find m and b to derive an equation for the line.
using the 2 coordinate pairs, (1, 5), (-1, -5),
Let, x2 = -1,
x1 = 1,
y2 = -5,
y1 = 5
From the graph given, the line intercepts the y-axis at point 0. Therefore b = 0.
Plug in the values of m and b in the line of equation.
y = mx + b
y = 5x + 0
y = 5x
Therefore, the equation of the line, in the graph above, written in slope-intercept form is:
Answer: b) x = 6 and total line is 52
c) x = 5.5 and total line is 20
Step-by-step explanation:
b) (x+20) = (5x-4)
4x = 24
x = 6
Line (x+20) = 26
Line (5x-4) = 26
Total line = 52
c) (4x-12) = (-2x+21)
6x = 33
x = 5.5
Line (4x+12) = 10.0
Line (-2x+21) = 10.0
Total line = 20
(a) The maximum height of the ball above the ground is 12.5 m and the time of motion is 1.43 s.
(b) The time taken for the ball to contact the other player at 0.5 m above the ground is 3.0 s.
<h3>Maximum height reached by the ball</h3>
The maximum height reached by the ball is calculated as follows.
At maximum height, the final velocity, v = 0
dh/dt = v = 0
dh/dt = -2(4.9)t + 14
0 = -9.8t + 14
9.8t = 14
t = 1.43 s
H(1.43) = -4.9(1.43)² + 14(1.43) + 2.5
H(1.43) = -10.02 + 20.02 + 2.5
H(1.43) = 12.5 m
<h3>Time to reach maximum height</h3>
12.5 = -4.9t² + 14t + 2.5
4.9t² - 14t + 10 = 0
t = 1.43 s
<h3>Time for the ball to reach 0.5 m above the ground</h3>
0.5 = -4.9t² + 14t + 2.5
4.9t² - 14t + - 2 = 0
t = 3.0 seconds
The complete question is below:
In a volleyball match Hanein serves the volleyball at 14 m/s, from a height of 2.5 m above the court. The height of the ball in flight is estimated using the equation, h = -4.9t² + 14t + 2.5, where t is the time in second and h is height above ground, in metres.
Learn more about time of motion here: brainly.com/question/2364404
#SPJ1