Solve this problem .

solve for x.

x is the hypotenuse (as it is opposite the right angle). Follow the a² + b² = c² formula.

let a = 10

let b = 24

let c = x

Plug into the equation:

(10)² + (24)² = x²

Simplify

10² = 100

24² = 576

100 + 576 = x²

x² = 676

Isolate the x. Root both sides

√x² = √676

x = √676

x = 26

x = 26 is your answer

hope this helps

Use the Pythagorean theorem:

x = 26.

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is