kaymackay954 kaymackay954

10-02-2021
Mathematics

contestada

If the legs of a right triangle are x, (2x - 1) and its hypotenuse is (2x + 1), what is the value of x?

Respuesta :

dammyzee dammyzee

11-02-2021

Answer:

x=8

Step-by-step explanation:

(2x + 1)² = x² + (2x - 1)² = x² + (2x - 1)(2x - 1)

(2x + 1)(2x + 1) = x² + 4x²-2x-2x+1

4x²+2x+2x+1 = 5x²-4x+1

4x²+4x+1 = 5x²-4x+1

0= 5x²-4x²-4x-4x+1-1

0= x²-8x

x²-8x=0

x²=8x

x=8

Answer Link

Otras preguntas

Who first developed the strategy of nonviolent protest

Who would study Stonehenge for clues about the society that built it?

When a scientist compares two or more objects what is he or she looking for?

The ancestors of elephants inhabited every continent except Antarctica and Australia. But the Asian and African elephants are the only ones to survive. Why? A.D

Your driveway is rectangular in shape and measures 15 feet wide and 25 feet long. Calculate the area of your driveway.

Dog up! franks is looking at a new sausage system with an installed cost of $500,000. this cost will be depreciated straight-line to zero over the project’s fiv

Which statement is true about the segment connecting points b and c?

What was the role of conquistadores and encomienda in establishing a Spanish empire in the New World?

Ideas proposed by the president are more likely to be incorporated into legislation if the president is popular with the public true or false

What happens to the water in a confined aquifer if a well or fracture intersects it? its depth in the ground will sink downward. it may flow upward to produce a