Caleb is participating in a walk-a-thon. His goal is to walk as far as possible over an 8-hour period.
For the first 3 hours, he keeps a steady pace of 2 miles per hour.
He then stops walking while he takes a 1-hour break for lunch.
It's too short. Write at least 20 characters to explain it well.
Answer:
x² + 7x + 10 = 0
Subtract 10 from both sides
x² + 7x = -10
Use half the x coefficent (7/2) as the complete the square term
(x + 7/2)² = -10 + (7/2)²
note: the number added to "complete the square" is (7/2)² = 49/4
(x + 7/2)² = -10 + 49/4
(x + 7/2)² = 9/4
Take the square root of both sides
x + 7/2 = ±3/2
Subtract 7/2 from both sides
x = -7/2 ± 3/2
x = {-5, -2}
4x+12=1x+60
4x+12=x+60 Move terms
4x-x=60-12 collect the like terms
Subtract
3x=48
Divide both sides by 3
X=16
Divide the pentagon into a triangle and rectangle.
Rectangle: 12in*6in=72in^2
Triangle: (12in*5in)/2=30in^2
72in^2+30in^2=102in^2