First, we find the time spent accelerating:
s = ut + 1/2 at²; u = 0
10 = 1/2 5t²
t = 2 seconds
Velocity at point B:
v = u + at; u = 0, a = 5 m/s², t = 2 s
v = (5)(2) = 10 m/s
Now, the same velocity is at C so we find the time decelerating to 0 in CD
v = u + at, v = 0, u = 10 m/s, a = -4 m/s²
0 = 10 - 4t
t = 2.5 seconds
Total time = time(AB) + time(BC) + time(CD)
20 = 2 + time(BC) + 2.5
time(BC) = 15.5 seconds
Distance = velocity x time
BC = 10 x 15.5
= 155 m
The answer to this, your question is h = -16t • 2 + 48t + 6
h = -32t + 48t + 6
h = 16t + 6 HOPE I HELPED IN A WAY! ~Marcey<3
The total power of the variables for the one term expression is 3 + 2 + 5 = 10. Hence, the degree is 10.
-3/4x + 5/6 y = 15
Multiply through by 6
-9/2x + 5y = 90
Add 9/2x to both sides
5y = 90 + 9/2x
Divide both sides by 5
y = 18 + 9/10x
y = 9/10x + 18
Comparing with the general equation of a straight line y = mx + c
Gradient (m) = 9/10 or 0.9
and the y - intercept (c) = 18
An inequality that represents the following sentence: 45 more than a number is greater than 5 is
x-45>5
This is further explained below.
<h3>Write an inequality that represents the following sentence: 45 more than a number is greater than 5.?</h3>
Generally, An inequality is a relation in mathematics that makes a non-equal comparison between two numbers or other mathematical expressions. In other words, an inequality compares two numbers in a way that is not equal.
The most common use of this concept is to contrast the relative sizes of two integers using a number line.
In conclusion, An inequality that represents the following sentence: 45 more than a number is greater than 5 is
x-45>5
Read more about inequality
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