1. Add y to each side
That will get you 3x=8+y
2. Subtract 8 on each side
That will get you y=3x-8
30 mph for 0.5 hrs = 15 miles
80 mph for 2 hours = 160 miles
160 +15 = 175 miles total
1, y=(X+1)/3
3, X-2=(-1)/(1/y-3) slove for y.
y= (-1)/(x-2) +3
Subtract 5 from both sides.
r+5−5>12−5
r>7
Answer : r>7
Simplify both sides of the inequality.
1/9r<10
Multiply both sides by 9.
9*(1/9r)<(9)*(10)
r<90
Answer : r < 90
So this is trig, and when it comes to right (90°) triangles, it's imperative that you know:
SOH-CAH-TOA
Sine (x) = Opposite/Hypotenuse
Cosine (x) = Adjacent/Hypotenuse
Tangent (x) = Opposite/Adjacent
*hypotenuse is always the largest side, and the one opposite the 90° angle in right triangles
therefore we'll use SOH, because the opposite of x (O) and the hypotenuse (H) are given:
Sine (x) = Opposite/Hypotenuse
Sine (x) = 32/58 = 16/29 = 0.552
Sine (x) = 0.552
now we use something called arc-sine, or

it's basically a fancy function of most advanced calculators, so we'll plug it in as:

x = 33.49° --> answer B) is correct