Answer:
10
Explanation:
The distance between two points of coordinates (x1, y1) and (x2, y2) can be calculated as:
![\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
So, the distance between (-2, 5) and (8, 5) is equal to:
![\begin{gathered} \sqrt[]{(8-(-2))^2+(5-5)^2} \\ \sqrt[]{(8+2)^2+(0_{})^2} \\ \sqrt[]{(10)^2+0} \\ \sqrt[]{100} \\ 10 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Csqrt%5B%5D%7B%288-%28-2%29%29%5E2%2B%285-5%29%5E2%7D%20%5C%5C%20%5Csqrt%5B%5D%7B%288%2B2%29%5E2%2B%280_%7B%7D%29%5E2%7D%20%5C%5C%20%5Csqrt%5B%5D%7B%2810%29%5E2%2B0%7D%20%5C%5C%20%5Csqrt%5B%5D%7B100%7D%20%5C%5C%2010%20%5Cend%7Bgathered%7D)
Then, the distance between (-2, 5) and (8, 5) is 10.
Answer:
see explanation
Step-by-step explanation:
Using the rules of exponents
×
⇔ 
= 
⇔ 
Thus

=
× 
=
× 
=
× 
=
← as required
Answer:
x = 8 ; x = -3
Step-by-step explanation:
Sum = -5
Product = - 24
Factors = 3 , (-8)
x² - 5x - 24 = 0
x² - 8x + 3x - 3 * 8 = 0
x(x - 8) + 3(x - 8)= 0
(x - 8)(x + 3) = 0
x - 8 = 0 ; x + 3 = 0
x = 8 ; x = -3