Answer:
9 and -4
Step-by-step explanation:
Find two numbers that multiply to be -36 and add to be -5.
That is -9 and 4.
So the factored form of x^2-5x-36 is (x-9)(x+4)
So the x-intercepts are 9 and -4
Answer:
m∠PRT = 114°
m∠T = 37°
m∠RPT = 29°
Step-by-step explanation:
This question is incomplete (without a picture) ; here is the picture attached.
In this picture, an airplane is at an altitude 12000 feet.
When the plane is at the point P, pilot can observe two towns at R and T in front of plane.
We have to find the measure of ∠PRT, ∠T and ∠RPT.
Form the figure attached segment PS is parallel to RT and PR is a transverse.
We know that internal angles formed on one side of the parallel lines by a transverse are supplementary.
Therefore, x + 66 = 180
x = 180 - 66 = 114°
∠PRT = x = 114°
m∠RPT = m∠SPR - m∠SPT
= 66 - 37
= 29°
Since m∠PRT + m∠T + m∠RPT = 180°
114 + ∠T + 29 = 180
143 + ∠T = 180
∠T = 180 - 143
∠T = 37°
Answer:
$3952.13
Step-by-step explanation:
Annuity amount = future value / annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
FV = Future value = $75,000
R = interest rate = 8%
N = number of years = 12
Annuity factor = [(1/08)^12 - 1 ] / 0.08 = 1.8977126
Annuity amount = $75,000 / 1.8977126 = $3952.13
I forgot how to do this sorry