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:
Step-by-step explanation:
I think this is it but you question want super clear
A = C/2r
21) Since all angles = 180,
180=66 + 79 + (43 + x)
Subtract (66 + 79) from both sides, you’d get
35= 43 + x
subtract 43 from both sides and x = -8
Answer:
y = 2x
Step-by-step explanation:
Let's first find the slope:
m = (y₂ - y₁)/(x₂ - x₁)
m = (6 - 4)/(3 - 2) = 2/1 = 2
Now let's use point-slope form:
y - y₁ = m(x - x₁)
(For x₁ and y₁, you can use either (2,4) or (3,6), but I'm gonna use (2,4))
y - 4 = 2(x - 2)
y - 4 = 2x - 4
y = 2x
That's your answer.
Hope this helps, and hope you learned something!
I agree with you. I added the mixed numbers and got 4 1/10 and that’s not an option.