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AlladinOne [14]
3 years ago
8

For what values of x and y is the equation (x2 + y2)2 = (x2 – y2)2 + (2xy)2 true?

Mathematics
1 answer:
denis-greek [22]3 years ago
6 0

Answer:

A) all values of x, and all values of y

B) (3a + 4b) (9a² − 12ab + 16b²)

Step-by-step explanation:

(x² + y²)² = (x² − y²)² + (2xy)²

x⁴ + 2x²y² + y⁴ = x⁴ − 2x²y² + y⁴ + 4x²y²

x⁴ + 2x²y² + y⁴ = x⁴ + 2x²y² + y⁴

27a³ + 64b³

(3a)³ + (4b)³

(3a + 4b) (9a² − 12ab + 16b²)

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What is the domain of the relation {(2, 8), (0, 8), (–1, 5), (–1, 3), (–2, 3)}?
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Please Help.
Gennadij [26K]
Answer:
amount of nuts = 2 pounds
amount of dried fruit = 4 pounds

Explanation:
We are given that x is the amount of nuts and y is the amount of dried fruit.
We are also given that:
1- Hunter needs to make 6 pounds of trail mix. This means that:
x + y = 6
This can be rewritten as:
x = 6 - y .........> equation I
2- x costs $4 per pound, y costs $3.5 and Hunter can spend a total of $22. This means that:
4x + 3.5y = 22 ..........> equation II

Substitute with equation I in equation II and solve for y as follows:
4x + 3.5y = 22
4(6-y) + 3.5y = 22
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24-22 = 4y-3.5y
2 = 0.5y
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7 0
4 years ago
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natta225 [31]
Hope this will help you if I am answering this right.

6 0
3 years ago
Dario has 1 foot of gum. It is cut into 4 equal pieces, or quarters. Dario wants to share these 4 pieces equally among himself a
sveticcg [70]

Answer:

Each person will have the amount of 4/20 ft piece of gum equivalent to 1/5 ft

Step-by-step explanation:

we know that

For sharing the 1/4 piece of gum equally with 5 people, first divide each piece of 1/4 by 5

so

\frac{(1/4)}{5}=\frac{1}{20}\ ft

At this moment we have 20 pieces and each one is 1/20 ft

The number of pieces that corresponds to each person is 20 divided by 5.

so

20/5=4      

4*\frac{1}{20}=\frac{4}{20}\ ft

each person will have the amount of 4/20 ft piece of gum

simplify

\frac{4}{20}=\frac{1}{5}\ ft

7 0
3 years ago
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