Juans house has a rectangular doorway that is 8 feet high and 3 feet wide. which measurement is the closest to the length of the diagonal of the doorway?
a. 7.4
b. 11.0
c. 8.5
d. 3.3

The answer to your question is letter C

Step-by-step explanation:

Data

height = h = 8 ft

width = w = 3 ft

diagonal = d = ?

Formula

We can use the Pythagorean theorem to solve this problem.

                    d² = h² + w²

Substitution

                    d² = 8² + 3²

Simplifying

                    d² = 64 + 9

                    d² = 73

Result

                    d = 8.5 ft

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11-1 > 1-1+a

-12 > a

x² + 3x + 7 = 0       [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

    (+/- is this ±)

plug in the numbers into the variables

your answer is a