9514 1404 393
Answer:
15 in, 36 in, 39 in
Step-by-step explanation:
The Pythagorean theorem tells us that for short side x, the relation is ...
(2x +9)² = (2x +6)² +x²
4x² +36x +81 = 4x² +24x +36 +x²
x² -12x -45 = 0 . . . . . subtract the left-side expression
(x -15)(x +3) = 0 . . . . factor
x = 15 . . . . . . . . . . . the positive value of x that makes a factor zero
The side lengths of the triangle are 15 inches, 36 inches, and 39 inches.
Answer:
There are two complex roots.
Step-by-step explanation:
When the discriminant is a negative number, the parabola will not intersect the x-axis. This means that there are no solutions/two complex solutions.
You are correct, the profit is modeled by:
-0.1t² + 6t + 67
We are also told that "t" is the number of years after 2010. So in 2016, the value of t will be 6. We substitute this into the equation we formed:
-0.1(6²) + 6(6) + 67
= 106.6 thousand dollars
Answer:
5/16
Step-by-step explanation:
We need to change the mixed number to an improper fraction to find the reciprocal
3 1/5 = (5*3+1)/5 = 16/5
The reciprocal of 16/5 is found by flipping the fraction
5/16
