Answer:
see explanation
Step-by-step explanation:
A difference of 2 squares factors in general as
a² - b² = (a - b)(a + b)
(x - 1)² - 25 ← is a difference of squares
with a = x - 1 and b = 5, thus
(x - 1)² - 25
=(x - 1 - 5)(x - 1 + 5) = (x - 6)(x + 4), then
(x - 6)(x + 4) = 0
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6
x + 4 = 0 ⇒ x = - 4
Solutions are x = - 4, x = 6
In this problem, we just substitute the given n equal to -2, 0 and 1 to th given equation m + 3x = 7 to find m.
m = 7 - 3n 1. m = 7 - 3*-2 = 7 + 6 = 132. m = 7 - 3*0 = 73. m = 7 - 3*1 = 7-3 = 4
3/4 (5z + 16)....distribute thru the parenthesis
15/4z + 12 <==
Answer:
![\large\boxed{\text{The slope}\ m=-\dfrac{1}{2}}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Ctext%7BThe%20slope%7D%5C%20m%3D-%5Cdfrac%7B1%7D%7B2%7D%7D)
Step-by-step explanation:
The formula of a slope:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have the points (-3, 5) and (-1, 4). Substitute:
![m=\dfrac{4-5}{-1-(-3)}=\dfrac{-1}{2}=-\dfrac{1}{2}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B4-5%7D%7B-1-%28-3%29%7D%3D%5Cdfrac%7B-1%7D%7B2%7D%3D-%5Cdfrac%7B1%7D%7B2%7D)
The A/= it means the answer is okay