The legs of a right triangle are in the ratio 3:4. If the hypotenuse is 10, what is the length of the longer leg?

H^2 = P^2+ B^2

10^2 = 3x^2 +4x^2

100 = 9x^2 + 16x^2

100 = 25x^2

100 ÷ 25 = x^2

4 = x^2

x= 2

Length of longer arm is 4x = 4×2=8

Step-by-step explanation:

8

Step-by-step explanation:

ratios of legs = 3x and 4x

Pythagorean theorum:

A^2+B^2=C^2

3x^2+4x^2=10^2

9x^2+16x^2=100

25x^2=100  --> divide by 25

x^2=4 --> x=2

length of longer leg is 4x = 4 x 2 = 8

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: