The area of a square is equivalent to the area of a rectangle. if the side lengths of the rectangular three units and 12 units what is the perimeter of the square?

Step-by-step explanation:

If the side lengths of the rectangle are 3 and 12, then the area, length times width, is 36.

If the area of the square is equivalent to the area of the rectangle, then

which is the formula for the area of a square.  Take the square root of 36 to get that each side of the square is 6 inches long.  

Since a square has 4 sides, we get that the perimeter of that square is 4 * 6 which is 24 inches.

last option

step-by-step explanation:

given that δdef is right and isoceles,

assuming that side df is the hypotenuse means that de an ef are the other 2 sides that intersect at 90° and are of equal length.

because they are of equal length, we can say that they are congruent

because they intersect at 90°, their slopes must be opposite reciprocals.

only the last option satisfies these conditions.

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: