Step-by-step explanation:
7 students were in the van so 187 - 7 = 180. 180 ÷ 4 = 45, there were 45 students on each bus. Not sure if this makes total sense, hope it helps
Answer:
(x - 5)(x + 3)
Step-by-step explanation:
Given
x² - 2x - 15
Consider the factors of the constant term (- 15) which sum to give the coefficient of the x- term (- 2)
The factors are - 5 and + 3, since
- 5 × 3 = - 15 and - 5 + 3 = - 2, thus
(x - 5)(x + 3) ← in factored form
Step-by-step explanation:
step 1. let l be the length of the rectangle
step 2. l = 2x + 4
step 3. lx = 390 yd^2
step 4. (2x + 4)x = 390
step 5. 2x^2 +4x = 390
step 6. 2x^2 + 4x - 390 = 0
step 7. -4 +- sqr(4^2 -4(2)(-390))/2(2) quadratic formula
step 8. (-4 +- sqr(3136))/4
step 9. (-4 +- 56)/4
step 10. x = 13yd, l = 2x + 4 = 2(13) + 4 = 30yd.
To find the indicated angle, we can use one of the three main trigonometric functions: sine, cosine, or tangent.
Remember: SOH-CAH-TOA
Looking from the angle, we know the adjacent side and the hypotenuse. Therefore, we should use cosine to solve.
cos(x) = 12/36
x = cos^-1(12/36)
x = 71 degrees
Hope this helps!
