Match each expression with its equivalent expression. a. √4x^2y^4
b. √8x^2y
c. √4x^2y
c. √16xy^2
d. √8xy^2

1. 2x√y
2. 2y√2x
3. 2xy^2
4. 2x√2y
5. 4y√x

a -> 3

b -> 4

c -> 1

d -> 5

e -> 2

Step-by-step explanation:

We apply the properties to solve this question.

a. √4x^2y^4

So a -> 3

b. √8x^2y

So b -> 4

c. √4x^2y

So c -> 1

d. √16xy^2

So d -> 5

e. √8xy^2

So e -> 2

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.