8p² - 16p = 10
8p² - 16p - 10 = 0 Divide through by 2
4p² - 8p - 5 = 0
Multiply first and last coefficients: 4*-5 = -20
We look for two numbers that multiply to give -20, and add to give -8
Those two numbers are 2 and -10.
Check: 2*-10 = -20 2 + -10 = -8
We replace the middle term of -8p in the quadratic expression with 2p -10p
4p² - 8p - 5 = 0
4p² + 2p - 10p - 5 = 0
2p(2p + 1) - 5(2p + 1) = 0
(2p + 1)(2p - 5) = 0
2p + 1 = 0 or 2p + 5 = 0
2p = 0 -1 2p = 0 - 5
2p = -1 2p = -5
p = -1/2 p = -5/2
The solutions are p = -1/2 or -5/2
Given that the triangles are similar.
When triangles are similar, all three pairs of corresponding sides are in the same ratio.
Similarly in the given triangles, the ratio of the corresponding sides are equal.


Cross multiplying, we get



Dividing both sides of the equation by -4.
So, we get
x = 7.
Answer:
125
Explanation:
5^2 = 25
25 x 5 = 125
Answer:
hey! been a while since I've answered questions haha
typically I would put an explanation for my answers but this one's pretty straightforward so ¯\_(ツ)_/¯
a) mode is the number that occurs most often in a data set.
b) mean is the average or expected value in the data set
c) median is the value that lies in the midpoint in the data set.