Answer:
The first set of consecutive even integers equals (8 , 6)
The second set is ( - 8 and - 6) which also works.
Step-by-step explanation:
Equation
(x)^2 + (x + 2)^2 = (x)(x + 2) + 52 Remove the brackets on both sides
Solution
x^2 + x^2 + 4x + 4 = x^2 + 2x + 52 Collect the like terms on the left
2x^2+ 4x+ 4 = x^2 + 2x + 52 Subtract right side from left
2x^2 - x^2 + 4x - 2x + 4 - 52 = 0 Collect the like terms
x^2 + 2x - 48 = 0 Factor
(x + 8)(x - 6) = 0
Answer
Try the one you know works.
x - 6 = 0
x = 6
Therefore the two integers are 6 and 8
6^2 + 8^2 = 100
6*8 + 52 = 100
So 6 and 8 is one set of consecutive even numbers that works.
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What about the other set.
x + 8 = 0
x = - 8
x and x + 2
- 8 and -8 + 2 = - 8, - 6
(- 8 )^2 + (- 6)^2 = 100
(-8)(-6) + 52 = 100
Both sets of consecutive numbers work.
Answer:
320
Step-by-step explanation:
2 out of 5 is the ratio 2/5.
We want the denominator to become 800.
Since 2/5 = 320/800, he will need to prepare 320 cups of soup.
Answer:
b
Step-by-step explanation:
if you imply all the other ones, all the x's cancel out.
The answer is C. Why? Well, see below!
A would be incorrect because the problem is asking what the area of the stamp would be. In order to find area, we multiply length and width by each other. The given equation we initially had shows division, and would therefore be incorrect. B would be incorrect because although the equation has the correct evaluation symbol, the formula for identifying length would be L = A / W, which means length equals area divided by width. Because the area is 1/4 in this problem, the expression used for evaluation would be 1/4 divided by 1/5. D is incorrect because, like B, the evaluation expression would be 1/4 divided by 1/5.
Your final answer: Because C is the only problem that gives us a corresponding expression to the initial expression, C is the correct answer. If you need extra help, let me know and I will gladly assist you.
