Answer:
Step-by-step explanation:
4(x+1)²=100
(x+1)²= 5²
(x+1)²- 5² = 0
(x+1-5)(x+1+5) = 0 by identity : a² - b ² = (a - b) (a+b)
(x - 4 ) (x+6) =0
x - 4 = 0 or x+6 = 0
x = 4 or x = - 6
Hi!
<h3>Divide by -10 on both sides. </h3>
-10x/-10 < -100/-10
<h3>The inequality sign flips because we are dividing by a negative number. </h3>
<u>x > 10</u>
<h2>The answer is A x > 10</h2>
Hope this helps! :)
-Peredhel
Answer: ![\sqrt{10}](https://tex.z-dn.net/?f=%5Csqrt%7B10%7D)
Step-by-step explanation:
![d = \sqrt{(x_{2}-x_1)^2 + (y_{2}-y_1)^2 } \\x_2 = 5\\x_1 = 2\\y_2 = 3\\y_1 = 4\\\\\\d = \sqrt{(5-2)^2 + (3-4)^2 } \\\\d = \sqrt{3^2 + 1^2}\\d = \sqrt{10}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28x_%7B2%7D-x_1%29%5E2%20%2B%20%28y_%7B2%7D-y_1%29%5E2%20%7D%20%5C%5Cx_2%20%3D%205%5C%5Cx_1%20%3D%202%5C%5Cy_2%20%3D%203%5C%5Cy_1%20%3D%204%5C%5C%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B%285-2%29%5E2%20%2B%20%283-4%29%5E2%20%7D%20%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B3%5E2%20%2B%201%5E2%7D%5C%5Cd%20%3D%20%5Csqrt%7B10%7D)
Answer:
⅑
Step-by-step explanation:
⅑ = 3⁻²
Normally, squaring 3 would give us 9, but because of that negative, we have to take the Multiplicative Inverse of 9, which is ⅑.
I am joyous to assist you anytime.