We need to solve for x by completing the square of the given mathematical expression (x+7)(x-9) = 25.
First, we need to perform multiplication of (x+7) and (x-9) such as the expression become:
(x+7) (x-9) = 25
x² -9x +7x -63 = 25
x² - 2x = 25 + 63
Then perform addition of constant values 25 and 63
x² - 2x =88
Add +1 in both sides to complete the expression such as:
x² - 2x +1 = 88 +1
(x-1)(x-1) = 89
(x-1)² = 89
We see that (x-1) is a perfect square, we can now solve for the value of x such as:
(x-1) = +-√89
x1 = +√89 + 1
x1 = 10.4
x2 = -√89 +1
x2 = -8.4
The answers are 10.4 and -8.4.
Answer:
rotating around y = 1 will make the sphere.
Step-by-step explanation:
Answer: The first one. 2 to the 20th power over 3 to the 8th power
Step-by-step explanation:
Answer: The missing length is 16/3
Step-by-step explanation:
First, you have to find the proportional value between the two lengths on the first figure and the two lengths on the second figure.
The first figure’s lengths are 8 and 9, so the shorter length is 8/9 of the longer length.
Now apply the same proportional value to the second figure.
6 * 8/9 = 48/9
48/9 = 16/3
Answer:
0.575
Step-by-step explanation:
I divided 3÷8 and got 0.375 to get the decimal of the fraction. Then since there is a subtraction and negative sign they cancel out to a positive where I added the 0.2 to 0.375 and got that as my answer.
