Answer:
thats what she said
Step-by-step explanation:
Answer:
a^-7
Step-by-step explanation:
so when dividing exponents you subtract them so the exponents are -13 and -6 you would just subtract them
-13 - (-6) = -13 + 6 = -7
and so a^-7 is ur answer
Answer/Step-by-sep explanation:
1. Given:
∆NMK ≅ ∆TRP
![\overline{NM} = 20](https://tex.z-dn.net/?f=%20%5Coverline%7BNM%7D%20%3D%2020%20)
![\overline{MK} = 15](https://tex.z-dn.net/?f=%20%5Coverline%7BMK%7D%20%3D%2015%20)
![\overline{KN} = 25](https://tex.z-dn.net/?f=%20%5Coverline%7BKN%7D%20%3D%2025%20)
![\overline{TR} = 3x - 1](https://tex.z-dn.net/?f=%20%5Coverline%7BTR%7D%20%3D%203x%20-%201%20)
a. To complete the congruent statement, thus: ∆MNK ≅ ∆RTP
b. The side that is congruent to
is
. Thus:
≅ ![\overline{NM}](https://tex.z-dn.net/?f=%20%5Coverline%7BNM%7D%20)
c. Since
≅
, therefore:
![\overline{TR} = \overline{NM}](https://tex.z-dn.net/?f=%20%5Coverline%7BTR%7D%20%3D%20%5Coverline%7BNM%7D%20)
(substitution)
Add 1 to both sides
![3x = 20 + 1](https://tex.z-dn.net/?f=%203x%20%3D%2020%20%2B%201%20)
![3x = 21](https://tex.z-dn.net/?f=%203x%20%3D%2021%20)
Divide both sides by 3
![x = \frac{21}{3}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cfrac%7B21%7D%7B3%7D%20)
![x = 7](https://tex.z-dn.net/?f=%20x%20%3D%207%20)
2. a. Slope of LK = ![\frac{rise}{run} = \frac{4}{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7Brise%7D%7Brun%7D%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20)
Slope of LM = ![\frac{rise}{run} = -\frac{3}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7Brise%7D%7Brun%7D%20%3D%20-%5Cfrac%7B3%7D%7B5%7D%20)
b. ✍️Length of LK is the distance between L(-7, 4) and (-4, 8):
![Lk = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}](https://tex.z-dn.net/?f=%20Lk%20%3D%20%5Csqrt%7B%28x_2%20-%20x_1%29%5E2%20%2B%20%28y_2%20-%20y_1%29%5E2%7D%20)
![Lk = \sqrt{(-4 -(-7))^2 + (8 - 4)^2}](https://tex.z-dn.net/?f=%20Lk%20%3D%20%5Csqrt%7B%28-4%20-%28-7%29%29%5E2%20%2B%20%288%20-%204%29%5E2%7D%20)
![Lk = \sqrt{(3)^2 + (4)^2}](https://tex.z-dn.net/?f=%20Lk%20%3D%20%5Csqrt%7B%283%29%5E2%20%2B%20%284%29%5E2%7D%20)
![Lk = \sqrt{9 + 16}](https://tex.z-dn.net/?f=%20Lk%20%3D%20%5Csqrt%7B9%20%2B%2016%7D%20)
![Lk = \sqrt{25}](https://tex.z-dn.net/?f=%20Lk%20%3D%20%5Csqrt%7B25%7D%20)
![Lk = 5](https://tex.z-dn.net/?f=%20Lk%20%3D%205%20)
✍️Length of LM is the distance between L(-7, 4) and (-2, 1):
![LM = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}](https://tex.z-dn.net/?f=%20LM%20%3D%20%5Csqrt%7B%28x_2%20-%20x_1%29%5E2%20%2B%20%28y_2%20-%20y_1%29%5E2%7D%20)
![LM = \sqrt{(-2 -(-7))^2 + (1 - 4)^2}](https://tex.z-dn.net/?f=%20LM%20%3D%20%5Csqrt%7B%28-2%20-%28-7%29%29%5E2%20%2B%20%281%20-%204%29%5E2%7D%20)
![LM = \sqrt{(5)^2 + (-3)^2}](https://tex.z-dn.net/?f=%20LM%20%3D%20%5Csqrt%7B%285%29%5E2%20%2B%20%28-3%29%5E2%7D%20)
![LM = \sqrt{25 + 9}](https://tex.z-dn.net/?f=%20LM%20%3D%20%5Csqrt%7B25%20%2B%209%7D%20)
![LM = \sqrt{34}](https://tex.z-dn.net/?f=%20LM%20%3D%20%5Csqrt%7B34%7D%20)
(nearest tenth)
∆KLM is not an isosceles ∆ because it does not has two equal side lengths. This we can see because LK and LM are not equal.
Therefore, Anthony is incorrect. Am isosceles ∆ has two equal sides.
Answer:
x^4 - 8 x^2 + 16
Step-by-step explanation:
Use formula (a-b)^2 = a^2-2ab+b^2
now a=4 b=x^2, plug in
-24xy
Multiply the inside and out and this will simplify
Please like and brainliest