Answer:
Step-by-step explanation:
First off, since we're talking about finding the correct hypotenuse for the triangle, we know to use the Pythagorean Theorem:
a^2+b^2=c^2
Since we know from the question, 32 and 22 are not the hypotenuse we know that those two values would be a and b. Now, all we do is stick these both into the equation and solve!
Answer:
Step-by-step explanation:
To find the area of the shaded region, you must find the area of the larger rectangle [(x+10)×(2x+5)] and subtract the area of the smaller rectangle [(x+1)×(x+1)] from it.
First, you simplify the larger rectangle's area:
(x+10)×(2x+5) =
Then, simplify the smaller rectangle's area:
(x+1)×(x+1) =
Finally, subtract the smaller rectangle's area from the larger rectangle's area:
Therefore, the final answer is .
I hope this helps!
Answer:
The solution set of the quadratic function is
.
Step-by-step explanation:
Let be a second-order polynomial (quadratic function) is standard form and equalized to zero:
Its roots can be determined by the Quadratic Formula in terms of its polynomial coefficients, which states that:
Given that ,
and
, the roots of the polynomial are, respectively:
The solution set of the quadratic function is
.