The first is proportional the second is proportional and the third is not proportional
Answer:
the answer is 2.34<2.43
Step-by-step explanation:
it is because 2.34 is less than 2.43
< means less than
> means greater than
= means equal to
Hi!
We can use <u>point-slope form </u>to solve this.
![y-y_{1} =m(x -x_{1})](https://tex.z-dn.net/?f=y-y_%7B1%7D%20%3Dm%28x%20-x_%7B1%7D%29)
<em> and </em>
<em> will be from one of the points.</em>
<u>First, we have to find </u>
<u>, the slope. We can use the slope equation to get this.</u>
![\frac{y_{1} -y_{2} }{x_{1} -x_{2} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B1%7D%20-y_%7B2%7D%20%7D%7Bx_%7B1%7D%20-x_%7B2%7D%20%7D)
<em>Plug in your points:</em>
![\frac{4-0}{8-(-8)} =\frac{4-0}{8+8} =\frac{4}{16} =\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B4-0%7D%7B8-%28-8%29%7D%20%3D%5Cfrac%7B4-0%7D%7B8%2B8%7D%20%3D%5Cfrac%7B4%7D%7B16%7D%20%3D%5Cfrac%7B1%7D%7B4%7D)
Your slope is ![\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D)
<u><em>Now plug points and slope into point-slope equation. We will use (8, 4).</em></u>
![y-4=\frac{1}{4} (x-8)](https://tex.z-dn.net/?f=y-4%3D%5Cfrac%7B1%7D%7B4%7D%20%28x-8%29)
Now, if you want to get it into y = mx + b form, you have to solve for y:
![y-4=\frac{1}{4} (x-8)](https://tex.z-dn.net/?f=y-4%3D%5Cfrac%7B1%7D%7B4%7D%20%28x-8%29)
![y-4=\frac{1}{4} x-2](https://tex.z-dn.net/?f=y-4%3D%5Cfrac%7B1%7D%7B4%7D%20x-2)
![y=\frac{1}{4} +2](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B4%7D%20%2B2)
Your equation is ![y=\frac{1}{4} +2](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B4%7D%20%2B2)
<u><em>For more information on how to get the equation of a line when given two points, see here:</em></u>
brainly.com/question/986503
Answer:
9.000000001
Step-by-step explanation:
If the hypotenuse is 15, the ladder, facing the right angle, and the opposite is 12 we need to use SOH to find the angle.
sin of angle is opposite / hypotenuse
sin of angle is 12 / 15
12/15 = 0.8
sin^-1 of 0.8 = 53.13010235
Angle is that
Then we do this again but a different equation
cos of angle is adjacent (x which we are looking for) / hypotenuse
cos of 53.13... is x / 15
(15 x cos of 53.13... )is x
So 15 x cos of 53.13... is 9.000000001 feet away.