Answer: Choice B) 
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Work Shown:
This shows why choice B is the answer.
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Explanation:
- In the second step, I multiplied top and bottom by
- This is so we can apply the difference of squares rule in step 3. The difference of squares rule is (x-y)(x+y) = x^2-y^2.
- In step 4, the square roots cancel out with the squaring operation. The two operations are inverses of one another, which is why they cancel.
So in general, if the denominator is 
and you want to rationalize the denominator, then you should multiply top and bottom by 
. The same applies in reverse as well.
This leads to the denominator becoming 
Keep in mind that 
and 
Answer:
i would say the first one
Step-by-step explanation:
Answer:
Rotations, reflections, and translations are isometric. That means that these transformations do not change the size of the figure. If the size and shape of the figure is not changed, then the figures are congruent.
Step-by-step explanation:
Based on the scenario, the initial temperature would be :
28 = (60) (1/2)^x/30 + 20
(60) (1/2)^0/30 + 20 = 60 + 20 =
80 C
Hope this helps
Answer:
You will need 3 cups peanut butter to make 36 dogs treats.
Peanut butter Cup : The dog treats made = 1: 12
Step-by-step explanation:
12 dog treats = 1 cup
So, by UNITARY METHOD
1 dog treat = (1/12) cup
So, 36 dog treats = 36 x (1/12) cup = 3 cups
So, you will need 3 cups peanut butter to make 36 dogs treats.
If 1 cup = 12 Dog Treats
then 1 x 3 cup = 12 x 3 dog treats
or, 3 Cups = 36 dog treats
The ratio of the Peanut butter cup : The dog treats made = 1: 12
