Danielle's Responses in WyzAnt Answers

To start, you need to write a proportion using the given numbers. The numbers for the smaller square and larger square should be on opposite sides of the equal sign:

9/30² = 25/x²

Using order of operations, solve the exponent first: 30*30=900

You should now have: 9/900 = 25/x²

Simplify the fraction on the left by dividing by 9: 1/100 = 25/x²

Cross multiply: x² = 2500

Take the square root of 2500 to solve for x: x = √2500

Your answer for the length of a side of the larger square is: x = 50

You have to multiply the 2 numbers. Keep in mind that a positive times a negative is a negative number.

2 * -5 = -10

Pretending that there is a 1 in front of the first x, subtract .098x from 1x: 1x-.098x=.902x

Now you have: .902x=130.11

Divide by .902 on both sides: .902x/.902=x and 130.11/.902=144.246

The answer is: x=144.246

Separate the 2 parts of the problem: 3(2(x-3)+2) and 5(x-3)

Starting with 3(2(x-3)+2), distribute the first 2 to x-3:

2(x-3) = 2x-6

Now you have: 3(2x-6+2)

Add 2 to -6: 3(2x-4)

Distribute the 3: 6x-12

Now you can work on the other part of the problem, 5(x-3).

Distribute the 5 to x-3: 5x-15

Put the 2 pieces back together: 6x-12+5x-15

Simplify it to get the answer: 11x-27

To find the LCD you only have to focus on the denominators of each fraction: 1-k and k-1

Multiply them to each other by using the FOIL method: (1-k) * (k-1) = k-1-k²+k

Simplify the answer: k²+2k-1