Pls help solve these!​

Step-by-step explanation:

#27 Using Pythagorean theorem, the length of side ZY is given by

(ZY)^2 = (x - 1)^2 + (x + 1)^2 = (x^2 -2x + 1) + (x^2 + 2x + 1)

= 2x^2 + 2

Taking the square root,

#28 There are two shapes that make up this figure: a square of side x and a rectangle with sides (x + 6) and (2x - 3 - x) or (x - 3). Therefore, the area of this figure is

A = area of square + area of rectangle

= (x^2) + (x + 6)(x - 3)

= x^2 + (x^2 + 3x - 18)

= 2x^2 + 3x - 18

step-by-step explanation:

your answer is a

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus