Which expression is equivalent to 7a2b 10a2b2 14a2b3? ab(7a2 10ab 14b2) a2b(7 10b 14b2) 7a2(b 3b2 7b3) 7a2b3(b2 3b 7)

option (2) is correct.

An equivalent fraction to the given expression   is

Step-by-step explanation:

Given : expression

We have to write an equivalent fraction to the given expression  

Equivalent expressions are expression having same value but they look different  and it can be obtained by taking out common factors from each term of expression. When we take product we get back the same expression.

Consider the given expression  

Since, each term of given expression has term common,

So taking it out , we are left with ,

Thus, option (2) is correct.

An equivalent fraction to the given expression   is

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240