Answer:
x = (1 ±√41)/6
Step-by-step explanation:
10 -6x -9x² = -9x
9x² -3x -10 = 0 . . . . . subtract the left side
9(x² -1/3) -10 = 0 . . . factor first two terms
9(x² -1/3 +1/36) -10 -9/36 = 0 . . . . complete the square
9(x -1/6)² = 41/4 . . . . . add 41/4
x -1/6 = ±√(41/36) . . . . divide by 9, take the square root
x = 1/6(1 ± √41) . . . . . . .add 1/6
Answer:
A. 120 cubic meters
Step-by-step explanation:
Measurements in volume use <em>cubic</em><em> </em>units which deals with 3 dimensions
9514 1404 393
Answer:
4
Step-by-step explanation:
The exponents of m in the two terms are 4 and 6. The exponent of the common factor can be no greater than the smallest of these. (It <em>is</em> the smallest of these.)
GCF(30m^4, 36m^6) = 6m^4 . . . . exponent is 4
Answer:
-0.015625
Step-by-step explanation:
Answer:
Step-by-step explanation:
You have the hypotenuse and the adjacent, so use cosine.
SOHCAHTOA
Take the inverse cosine of both sides, which requires a calculator
cos(Ф) = 7/25
Ф = 73.74°