Answer:
It's 15.70796. Won't go in-depth since time seems to be of the essence
Step-by-step explanation:
Won't go in-depth since time seems to be of the essence
The equation in the form (x + a)² = b is (x + 2)² = 16
<h3>How to determine the intermediate step?</h3>
The equation is given as:
x² + 4x = 12
Take the coefficient of x
k = 4
Divide by 2
k/2 = 2
Square both sides
(k/2)² = 4
Add this result to both sides of x² + 4x = 12
x² + 4x + 4 = 12 + 4
Evaluate the sum
x² + 4x + 4 = 16
Express as a perfect square
(x + 2)² = 16
Hence, the equation in the form (x + a)² = b is (x + 2)² = 16
Read more about completing the square at:
brainly.com/question/10449635
#SPJ1
Answer:
Step-by-step explanation:
1) Lines that are perpendicular have slopes that are opposite reciprocals of each other. y = -1/2x - 8 is in y = mx + b form, in which the number in place of m represents the slope. So, the slope of y = -1/2x - 8 is -1/2. The opposite reciprocal of it would be (remember to flip the fraction and reverse the sign) 2. So, 2 is the slope we need for the answer.
2) When you know a point that the line must pass through and its slope, you can use point-slope form () to write an equation. and represents the x and y values of the point the line intersects, and m represents the slope. So, substitute 2 for m, 7 for , and -6 for .
Answer:
12, 14
Step-by-step explanation: