Answer:
32.66 units
Step-by-step explanation:
We are given that

Point A=(-2,-4) and point B=(1,20)
Differentiate w.r. t x

We know that length of curve

We have a=-2 and b=1
Using the formula
Length of curve=
Using substitution method
Substitute t=12x+14
Differentiate w.r t. x


Length of curve=
We know that

By using the formula
Length of curve=![s=\frac{1}{12}[\frac{t}{2}\sqrt{1+t^2}+\frac{1}{2}ln(t+\sqrt{1+t^2})]^{1}_{-2}](https://tex.z-dn.net/?f=s%3D%5Cfrac%7B1%7D%7B12%7D%5B%5Cfrac%7Bt%7D%7B2%7D%5Csqrt%7B1%2Bt%5E2%7D%2B%5Cfrac%7B1%7D%7B2%7Dln%28t%2B%5Csqrt%7B1%2Bt%5E2%7D%29%5D%5E%7B1%7D_%7B-2%7D)
Length of curve=![s=\frac{1}{12}[\frac{12x+14}{2}\sqrt{1+(12x+14)^2}+\frac{1}{2}ln(12x+14+\sqrt{1+(12x+14)^2})]^{1}_{-2}](https://tex.z-dn.net/?f=s%3D%5Cfrac%7B1%7D%7B12%7D%5B%5Cfrac%7B12x%2B14%7D%7B2%7D%5Csqrt%7B1%2B%2812x%2B14%29%5E2%7D%2B%5Cfrac%7B1%7D%7B2%7Dln%2812x%2B14%2B%5Csqrt%7B1%2B%2812x%2B14%29%5E2%7D%29%5D%5E%7B1%7D_%7B-2%7D)
Length of curve=
Length of curve=
Length of curve=
The slope of the linear equation is 20 and the y-intercept is 150
<h3>What is a Slope?</h3>
Slope measures how steep a straight line is. It is described as rise over run.
The slope of the linear equation can be found as follows;
He opens the account with $150 and he plans to save $20 each week. Therefore,
let
x = number of weeks
Therefore,
where
y = amount in his account after x number of weeks.
Using the slope intercept equation,
<h3>Slope intercept equation:</h3>
where
m = slope
c = y-intercept
Therefore, the slope of the linear equation is 20 and the y-intercept is 150
learn more on slope here: brainly.com/question/8057577
If you are having trouble with ratios you can look at them as fractions. The first number being the numerator and the second number being the denominator or the other way around. When you are asked to find an equivalent ratio, you just have to find an equivalent fraction.
-3, 3, 5.
https://www.wolframalpha.com/input/?i=%28x%5E3%29-%285x%5E2%29-9x%2B45%3D0
<h2 /><h2 /><h2>
Question</h2>
6.A small ball is dropped from a tall building.which equation could present the ball's height, <em>h</em>, in feet, relative to the ground, as a function of time, <em>t</em><em>,</em>in seconds
✒ Answer
