Answer:
The line passing through the given points is:
![y=-\frac{4}{3}x+\frac{1}{3}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B4%7D%7B3%7Dx%2B%5Cfrac%7B1%7D%7B3%7D)
in its slope-intercept form
Step-by-step explanation:
Start by finding the slope of the segment that joins the two given points using the slope formula:
![slope=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=slope%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
which for our case renders:
![slope=\frac{3-(-5)}{-2-4}=\frac{8}{-6} =-\frac{4}{3}](https://tex.z-dn.net/?f=slope%3D%5Cfrac%7B3-%28-5%29%7D%7B-2-4%7D%3D%5Cfrac%7B8%7D%7B-6%7D%20%3D-%5Cfrac%7B4%7D%7B3%7D)
Now we can find the y-intercept by using any one of the given points in the general slope-intercept form of a line with this slope:
![y=-\frac{4}{3} x+b\\3=-\frac{4}{3} (-2)+b\\3=\frac{8}{3}+b\\b=3-\frac{8}{3} \\b=\frac{9-8}{3} \\b=\frac{1}{3}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B4%7D%7B3%7D%20x%2Bb%5C%5C3%3D-%5Cfrac%7B4%7D%7B3%7D%20%28-2%29%2Bb%5C%5C3%3D%5Cfrac%7B8%7D%7B3%7D%2Bb%5C%5Cb%3D3-%5Cfrac%7B8%7D%7B3%7D%20%5C%5Cb%3D%5Cfrac%7B9-8%7D%7B3%7D%20%5C%5Cb%3D%5Cfrac%7B1%7D%7B3%7D)
Therefore, the equation of the line becomes:
![y=-\frac{4}{3}x+\frac{1}{3}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B4%7D%7B3%7Dx%2B%5Cfrac%7B1%7D%7B3%7D)
0.873175 rounded to the nearest hundredth is 0.87
Answer:
two is the number
Step-by-step explanation:
i think that
Answer:
The reason why linear pairs and vertical angles are used to prove lines are parallel is because they area transversal drawn through the parallel lines will form angles on each of the two parallel lines including;
1) Supplementary linear pairs and
2) Vertical angles
3) Alternate angles
Given that either;
a) The corresponding angles that form the linear pairs are congruent
b) The corresponding vertically opposite angles are congruent
c) The corresponding alternate angles are congruent, we have;
The two lines are said to be parallel.
Step-by-step explanation:
Hey there!
First of all, let's find the area of the pool.
15(30)=450 feet squared.
Now, let's find the area of the triangle.
4(3)=12/2=6 feet squared
Assuming that you can land anywhere in the pool, including the diving board (as we didn't get any measurements for it so that we can eliminate it)
This gives us 6/450, which simplifies to 1/75.
Therefore, you have 1/75 or 1.3% chance of landing on the raft.
I hope this helps!