Answer:
A
Step-by-step explanation:
Given
9x² - 3x - 2 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 9 × - 2 = - 18 and sum = - 3
The factors are - 6 and + 3
Use these factors to split the x- term
9x² - 6x + 3x - 2 = 0 ( factor the first/second and third/fourth terms )
3x(3x - 2) + 1(3x - 2) ← factor out (3x - 2) from each term
(3x - 2)(3x + 1) = 0
Equate each factor to zero and solve for x
3x - 2 = 0 ⇒ 3x = 2 ⇒ x =
3x + 1 = 0 ⇒ 3x = - 1 ⇒ x = -
Answer:
35.6 yd²
Step-by-step explanation:
Area of ∆UVW can be solved if we know the lengths of 2 sides and their included angle.
We are Given just 1 side, UV (w). Use the law of sines to find UW (v).
Thus:
W = 137°
w = 19 yd
V = 180 - (137 + 22) = 21° => sum of triangle
v = ??
Plug in the values and solve for v
Multiply both sides by sin(21)
(approximated)
Find area of ∆UVW:
Area = ½*UV*UW*sin(U)
Area = ½*v*w*sin(U)
= ½*10*19*sin(22)
Area = 35.6 yd² (to nearest tenth)