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:
Ounces of strawberry juice: 20 ounces
Ounces of water: 80 ounces
Step-by-step explanation:
For this problem, we can use the equation:
x + y = 100 ounces
Where x = The number of ounces of strawberry juice
and y = The number of ounces of water
Since we know that Molly uses four times as many ounces of water for each ounce of strawberry juice, we can conclude that:
y = 4x
With this information, we can use substitution to solve for x.
x + y = 100 ounces
x + (4x) = 100
Combine like-terms.
5x = 100
x = 20
Now that we know the value of x, we can figure out how many ounces of strawberry juice and how many ounces of water Molly needs.
Since x = The number of ounces of strawberry juice, Molly needs to use 20 ounces of strawberry juice.
Since y = The number of ounces of water, Molly needs to use 80 ounces of strawberry juice. (y = 4x | x = 20 | y = 4(20) | y = 80)
~Hope this helps!~
4+7=11
11/2=5.5
round to the nearst whole number
Simple way to see it is to multiply the value opposite of the axis you're flipping it over by -1. For example the point (-5,7) would become (5,7) when reflected over the y-axis, because the point is moving from the left to the right. This means the triangle would be (1,3) (5,3) and (5,7) when reflected over the y-axis. For reflection over the x-axis it would be (-1,-3) (-5,-3) and (-5,-7) because each point is moving down.
Answer:
2/3
Step-by-step explanation:
