Answer:
B
Step-by-step explanation:
Answer:

Step-by-step explanation:
To start, you need to find the equation of both of these lines. For the orange one, the slope can be found with the points (-5,0) and (0,-4), where there is a drop of 4 for a run of 5. This is a slope of -4/5, and a y-intercept of -4. For the purple line, you can use the points (-2,0) and (0,1), where there is a rise of 1 for a run of 2 or a slope of 1/2 and a y intercept of 1. Therefore, the two equations are:


You can now set them equal to each other:

Add 4 to both sides:

Multiply both sides by 2:

Multiply both sides by 5:

Subtract 5x from both sides:

Divide both sides by -13:


Hope this helps!
Answer:
So
Step-by-step explanation:
You remember from SOH CAH TOA that
.. Cos = Adjacent/Hypotenuse
.. cos(C) = 80/82 = 40/41 . . . . . . . . . . . seems to match the last selection
Answer:
13 m
Step-by-step explanation:
The ladder forms a right triangle with the wall that has legs of 5 and 12. We need to solve for the length of the ladder, which in this case, is the hypotenuse of the right triangle. You could use the Pythagorean Theorem but there's an easier way to do this. We can use the 5 - 12 - 13 Pythagorean triple so we know that the length of the ladder is 13 m.