Answer:
Step-by-step explanation:
When working with 45-45-90 triangles the hypotenuse is the same as the other legs multiplied by root 2. Therefore if you need to find the legs and already have the hypotenuse, divide the hypotenuse by root 2.
10/ sqrt(2) = 7.1 is the rounded answer.
to double check your work just multiply 7.1 by the square root of 2 and you'll get <em>close</em> to 10. (because the answer is rounded and not exact.)
We can use quadratic formula to determine the roots of the given quadratic equation.
The quadratic formula is:

b = coefficient of x term = 4
a = coefficient of squared term = 1
c = constant term = 7
Using the values, we get:
So, the correct answer to this question is option A
-11 = a + 7 Given
-7 -7 Subtract 7 on each side to cancel out +7 and isolate variable
-18 = a Answer
Prove.
-11 = -18 + 7 Plug in variable value
-11 = -11
True.