Answer:
46
Step-by-step explanation:
Given:
The points are (-3, 2) and (2, -13).
To find:
Slope-intercept form of the equation.
Solution:
Here 
.
Slope of the line:
m = -3
Using point-slope formula:
Add 2 on both sides.
Slope-intercept form of the equation is y = -3x - 7.
Explanation:
The Law of Sines is your friend, as is the Pythagorean theorem.
Label the unmarked slanted segments "a" and "b" with "b" being the hypotenuse of the right triangle, and "a" being the common segment between the 45° and 60° angles.
Then we have from the Pythagorean theorem ...
b² = 4² +(2√2)² = 24
b = √24
From the Law of Sines, we know that ...
b/sin(60°) = a/sin(θ)
y/sin(45°) = a/sin(φ)
Solving the first of these equations for "a" and the second for "y", we get ...
a = b·sin(θ)/sin(60°)
and ...
y = a·sin(45°)/sin(φ)
Substituting for "a" into the second equation, we get ...
y = b·sin(θ)/sin(60°)·sin(45°)/sin(φ) = (b·sin(45°)/sin(60°))·sin(θ)/sin(φ)
So, we need to find the value of the coefficient ...
b·sin(45°)/sin(60°) = (√24·(√2)/2)/((√3)/2)
= √(24·2/3) = √16 = 4
and that completes the development:
y = 4·sin(θ)/sin(φ)
Answer:
126.25
Step-by-step explanation:
take 8.75 and multiply by 8 =70
take 8.75+2.50=11.25
11.25x5=56.25
56.25+70=126.25
