Answer:
y=2/3x-5
Step-by-step explanation:
First, let's put this equation into slope-intercept form.
2x-3y=24
-3y=-2x+24
y=2/3x-8
For two lines to be parallel, they must have the same slope. Therefore our slope is 2/3.
Now, we must find b. To do that we can plug the y and the x in.
-7=2/3(-3)+b
-7=-2+b
-5=b
y=2/3x-5
Answer:
AB or the distance across the river is about 171.36 meters.
Step-by-step explanation:
Please refer to the diagram below (not to scale). The area between the two blue lines is the river.
To find AB, we can use the Law of Sines. Recall that:

BC (or <em>a</em>) is opposite to ∠A and AB (or <em>c</em>) is opposite to ∠C. Thus, we will substitute in these values.
First, find ∠A. The interior angles of a triangle must total 180°. Thus:

Substitute:

Solve for ∠A:

Substitute BC for <em>a</em>, AB for <em>c</em>, 49.5° for <em>A</em> and 18.3° for <em>C</em> into the Law of Sines. Thus:

Since BC = 415 m:

Solve for AB. Cross-multiply:

And divide:

Use a calculator. Hence:

AB or the distance across the river is about 171.36 meters.
Answer:
40 miles
Step-by-step explanation:
the horse travels 10 miles an hour
1 hour = 10 miles
2 hours = 20 miles
3 hours = 30 miles
4 hours = 40 miles
or you could just do 10 x 4
hope that helps :)
Right angle=90°.
(X-20) + X = 90.
Then solve for X.
X=55
Answer:
30$
Step-by-step explanation:
1st sister is 3x
2nd sister 2x
3th is x
3x+2x+x=180
6x=180
X=30