Answer:
x = -1 ± √3
Step-by-step explanation:
3x² − 2x − 1 = x² − 6x + 3
Move everything to one side.
2x² + 4x − 4 = 0
Divide by 2.
x² + 2x − 2 = 0
Solve with quadratic formula, or by completing the square.
x² + 2x = 2
x² + 2x + 1 = 3
(x + 1)² = 3
x + 1 = ±√3
x = -1 ± √3
Area of a Triangle = 1/2(Base times Height)
7500=1/2(200*h)
3750=100*h/2
3750/100=h/2
37.5=h/2
37.5*2=h
h=75yd
hope it helps
One field is 25 + 45 + 25 + 45 = 140 feet
Second field is 40 + 60 + 40 + 60 = 200 feet.
Therefore, all together, the two fields are 340 feet in perimeter together
Answer:
-1/2 -i
Step-by-step explanation:
The midpoints is found by adding the real part and dividing by 2 and then the imaginary part and dividing by 2
(-2 +1)/2, (-5+3)i/2
-1/2, -2i/2
-1/2 -i
***NOTE*** we are going to use the rise over run formula to solve this problem
Joe climbed a mountain with a rise of 1, 200 feet and a run of 1, 500 feet.
So, the slope would be:
1, 200 over 1, 500
which can be simplified...
1,200/1,500 = 12/15 = 4/5
When we solve for slope for Bob, we do the same thing.
He climbed a mountain with a rise 900 feet and a run of 1, 000 feet.
So, it would look like this after we simplify it...
900/1,000 = 9/10
Finally, since Bob's mountain has the largest slope (or fraction), that means that he climbed the steepest mountain.
I hope this helps! :) Let me know if you need help with anything else! I'd be happy to help you!!
