Answer:
(x + 9)(5x - 1)
Step-by-step explanation:
Given
5x² + 44x - 9
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 = 5 × - 9 = - 45 and sum = + 44
The factors are + 45 and - 1
Use these factors to split the x- term
5x² + 45x - x - 9 ( factor the first/second and third/fourth terms )
= 5x(x + 9) - 1(x + 9) ← factor out (x + 9) from each term
= (x + 9)(5x - 1) ← in factored form
answer: 32, 72
question 6
angle PQR and 148 are supplementary angles, so they add up to 180
PQR + 148 = 180
PQR = 180 - 148 = 32
question 7
in triangle RTS, all three angles must add up to 180
angle R = angle PQR = 32
angle S = 180 - 104 = 76 (because of supplementary angles)
angle T = angle RTS (we need to find this)
32 + 76 + angle RTS = 180
angle RTS = 72
Answer:
Step-by-step explanation:
d = r * t
Let the time at 59 miles / hour be t
59*t + 57* (4.5 - t) = 259.5 Remove the brackets
59*t + 256.5 - 57*t = 259.5 Combine the left
2t + 256.5 = 259.5 Subtract 228 from both sides
2t = 259.5 - 256.5 Combine
2t = 3 Divide by 2
t = 1.5
So he spent 1.5 hours going at 59 miles per hour
He spent 4.5 - 1.5 = 3 hours going 57 miles per hour.
Let: eq 1:2x+5y=-55
eq 2:y=3x+6
by substituting eq 2 in eq 1 we get,
2x+5(3x+6)=-55
2x+15x+30+55=0
17x + 85=0
x=-85/17
x=-5
By substituting x value in eq 2,
we have,
y=3(-5)+6=-15+6=-9
Answer:
A
Step-by-step explanation:
