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.
The slope is undefined, because the x values are the same.
Answer:
Alice: 82, 84, 86
Pat: 103, 105, 107
Step-by-step explanation:
Alice:
x + (x+2) + (x+4) = 252
3x + 6 = 252
3x = 246
x = 82 so Alice's last term is 82+4 = 86
Pat:
y + (y+2) + (y+4) = Pat's Total
Pat's last term is (y+4) so
Alice's last term + 25 = Pat's last trem
86 + 25 = 111 = y+4
y = 107
Answer:
D is the true answer.
Step-by-step explanation:
0.006262 is smaller than 0.062
Answer:
Area = 43.26
Step-by-step explanation:
There is a short way to do this.
Area = 1/2 s*t * Sin(R)
s = 14
t = 7
Area = 1/2 * 14 * 7 * Sin(62)
Area = 7 * 7 * sin(62)
Area = 49 * sin(62)
Area = 43.26
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There is another way you could do this.
Use the Cos law to find r
Then use Heron's formula to find the area. Trust me, you don't want to do that.
Doing the way I suggested gives 43.19. The difference is in what I did in the rounding. But I wouldn't want to type all the numbers.
