$x^2+13x=-42\ \ \ |+42\\\\x^2+13x+42=0\\\\x^2+6x+7x+42=0\\\\x(x+6)+7(x+6)=0\\\\(x+6)(x+7)=0\iff x+6=0\ \vee\ x+7=0\\\\x=-6\ \vee\ x=-7$

Anaswer: <span>a. x = -6 or x = -7</span>

8 0

3 years ago

The blue lake trail is 11 3/8 miles long. Gemma has hiked 2 1/2 miles each hour for 3 hours. How far is she from the end of the

melomori [17]

In the question it is given that the length of the blue lake trail is 11 3/8 miles. In the question it is also given that Gemma has hiked for a total time of 3 hours and each hour she has hiked 2 1/2 miles.
Now coming to solving the problem we get:
Total length of blue lake trail = 11 3/8 miles
   = 91/8 miles
Distance hiked by Gemma in 1 hour = 2 1/2 miles
   = 5/2 miles
Then the total distance hiked by Gemma in 3 hours = (5/2) * 3
   = 15/2 miles
The distance left to cover the full trail = (91/8) - (15/2) miles
      = (91 - 60)/8 miles
   = 31/8 miles
   = 3 7/8 miles.
So Gemma is 31/8 miles or 3 7/8 miles from the end of the trail.

7 0

3 years ago