Answer:

Step-by-step explanation:
Reference angle = 30°
Opposite side = x
Adjacent side = 2
Apply the tan trigonometric function, thus:



(tan 30 = 1/√3)

Rationalize


Answer: x = -5/2 and x = -3/2
Step-by-step explanation:
(2x + 5)2 = 4x (x + 5) +25
4x + 10 = 4x² + 20x + 25
[minus 4x on both sides.]
10 = 4x² + 16x + 25
[minus 10 on both sides.]
0 = 4x² + 16x + 15
ac = 4(15) = 60,then find the factors that add up to 16, which is 6 and 10.
0 = 4x² + 6x + 10x + 15
0 = 2x(2x + 3) + 5(2x + 3)
0 = (2x + 5)(2x + 3)
2x + 5 = 0 2x + 3 = 0
2x = -5 2x = -3
x = -5/2 x = -3/2
Answer:
It's the first option: -5, 1 and 4
Answer:
See below
Step-by-step explanation:
The greatest number formed by those numbers is: 765420
The least number formed by those number is: 204567
<u>The sum is</u>: 765420 + 204567 = 969987
<u>The difference is</u>: 765420 - 204567 = 560853
Answer:
See below.
Step-by-step explanation:
Average rate of change =( R(1008) - R(1001) ) / (1008 - 1001)
=[ 12(1008) - 0.005(1008)^2 - (12(1001) - 0.005(1001)^2) ] / 7