Which of the following sets could be the sides of a right triangle? {2,3, square root 13} {2,2,4}{1,3, square root 3}

2, 3, square root 13

Step-by-step explanation:

Use the Pythagorean Theorem (a^2 + b^2 = c^2)

2^2 = 4

3^2 = 9

4 + 9 = 13

Square root of 13 is c

2,3,

Step-by-step explanation:

The first choice:

2, 3,

Pythagorean theorem states that for a right-triangle of sides a,b and c where c is the hypotenuse; a² + b² = c²

So the hypotunese has to be the longest side of all.

The longest side in this case is

So, 2² + 3² must be equal to ()²

Let's check if its true ...

2² + 3² = ()²

4 + 9 = 13

13 = 13

Right! Sides 2, 3, are sides of a right triangle.

the answer is the option b

the range is all real numbers

step-by-step explanation:

we know that

the absolute value parent function is equal to

see the attached figure to better understand the problem

so

a. it is v-shaped > is true

b. the range is all real numbers > is not true

because the range is the > [0,∞)

all real numbers greater than or equal to zero

c. it goes through the origin > is true

d. the domain is all real numbers > is true

step-by-step explanation:

equal to

step-by-step explanation: