Answer:
The hypotenuse of the triangle measures 13 inches.
Step-by-step explanation:
Since the Pythagorean theorem states that in any right triangle the lengths of the three sides are related by the equation A ^ 2 + B ^ 2 = C ^ 2, to determine the length of the hypotenuse in a right thangle with legs 5 inches and 12 inches the following calculation should be performed:
5 ^ 2 + 12 ^ 2 = X ^ 2
25 + 144 = X ^ 2
√169 = X
13 = X
Therefore, the hypotenuse of the triangle measures 13 inches.
Answer:
The complex number
belongs to the third quadrant of the complex plane.
Step-by-step explanation:
Let be
. In the complex plane, if
(real component) and
(imaginary component), the number belongs to the third quadrant of the complex plane. The complex number
belongs to the third quadrant of the complex plane.
1. Use the distributive property:


Then

2. Separate terms with m in left side and without m in right side:

This expression is false for all values of x, then the equation doesn't have solutions.
Answer: no solution
It’s impossible to do this because…….. so that’s why it’s impossible