Answer:
AP = 14
Step-by-step explanation:
According to secant-secant theorem
(CP)(PD)=(BP)(AP)
7×12=6×AP
AP = 84/6
AP = 14
Answer:
mh
Step-by-step explanation:
mhh
Answer:
- (-16x² +10x -3) +(4x² -29x -2)
- (2x² -11x -9) -(14x² +8x -4)
- 2(x -1) -3(4x² +7x +1)
Step-by-step explanation:
I find it takes less work if I can eliminate obviously wrong answers. Toward that end, we can consider the constant terms only:
- -3 +(-2) = -5 . . . . possible equivalent
- -10 -5 = -15 . . . . NOT equivalent
- 3(-5) -2(5) = -25 . . . . NOT equivalent
- -9 -(-4) = -5 . . . . possible equivalent
- -7 -(-5) = -2 . . . . NOT equivalent
- 2(-1) -3(1) = -5 . . possible equivalent
Now, we can go back and check the other terms in the candidate expressions we have identified.
1. (-16x² +10x -3) +(4x² -29x -2) = (-16+4)x² +(10-29)x -5 = -12x² -19x -5 . . . OK
4. (2x² -11x -9) -(14x² +8x -4) = (2-14)x² +(-11-8)x -5 = -12x² -19x -5 . . . OK
6. 2(x -1) -3(4x² +7x +1) = -12x² +(2 -3·7)x -5 = -12x² -19x -5 . . . OK
All three of the "possible equivalent" expressions we identified on the first pass are fully equivalent to the target expression. These are your answer choices.
Answer:
The sum of two side lengths of a triangle must be greater than the length of the third.
So, if two side lengths are 3 and 7, the length of the third side must be less than 10 units.
However, it cannot be shorter than 4 units, as 3 + 4 = 7.
So your answer is: The third side of this triangle must not be shorter than 4 or longer than 10
Let me know if this helps!
Answer:
$2,543.84 is your answer.
Step-by-step explanation:
What you do first is you have to figure out the 5.99% interest rate.
150 x 5.99 = 8.99
150 + 8.99 = $158.99
Now multiply that by 16
158.99 x 16 = $2,543.84 is your answer.
