Answer:
Step-by-step explanation:
g(x) = 3f(-2x)
= 3*([-2x)² + (-2x) - 2)
= 3 (4x² - 2x - 2)
= 3 * (4x² - 4x +2x - 2) {Rewrite the middle term}
= 3 *[ 4x(x - 1) + 2(x - 1)]
= 3* [ (x -1) *(4x + 2)]
= 3(x - 1)(4x + 2)
x - 1 = 0 ; 4x + 2 = 0
x = 1 ; 4x = -2
x =
Roots: x = 1 , (-1/2)
*see attachment for the complete diagram and what is required.
Answer:
✅ST = 7 m
✅SU = 8 m
✅m<R = 46°
✅m<Q = 75°
✅m<S = 59°
Step-by-step explanation:
Given that ∆PQR ≅ ∆STU, therefore, their corresponding sides and angles would be congruent to each other.
Thus:
<P ≅ <S, therefore, m<P = m<S = 59°
<Q ≅ <T, therefore, m<Q = m<T = 75°
<R ≅ <U, therefore, m<R = m<U.
PQ ≅ ST, therefore, PQ = ST
QR ≅ TU, therefore, QR = TU
PR ≅ SU, therefore, PR = SU
Let's find the measure of the following with the information we already know:
✅ST = PQ = 7 m
✅SU = PR = 8 m
✅m<R = 180 - (m<P + m<Q) (sum of ∆)
m<R = 180 - (59°+ 75°) (substitution)
m<R = 180 - 134
m<R = 46°
✅m<Q = m<T = 75°
✅m<S = m<P = 59°
