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3 years ago

GET 35 POINTS! I need help with these 3 questions!!

Mathematics

1 answer:

mr_godi [17]3 years ago

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Use the identity (x2+y2)2=(x2−y2)2+(2xy)2 to determine the sum of the squares of two numbers if the difference of the squares of

fomenos

Answer:

The sum of the squares of two numbers whose difference of the squares of the numbers is 5 and the product of the numbers is 6 is <u>169</u>

Step-by-step explanation:

Given : the difference of the squares of the numbers is 5 and the product of the numbers is 6.

We have to find the sum of the squares of two numbers whose difference and product is given using given identity,

$(x^2+y^2)^2=(x^2-y^2)^2+(2xy)^2$

Since, given the difference of the squares of the numbers is 5 that is $(x^2-y^2)^2=5$

And the product of the numbers is 6 that is $xy=6$

Using identity, we have,

$(x^2+y^2)^2=(x^2-y^2)^2+(2xy)^2$

Substitute, we have,

$(x^2+y^2)^2=(5)^2+(2(6))^2$

Simplify, we have,

$(x^2+y^2)^2=25+144$

$(x^2+y^2)^2=169$

Thus, the sum of the squares of two numbers whose difference of the squares of the numbers is 5 and the product of the numbers is 6 is 169

5 0

2 years ago

Read 2 more answers

Why is 4b-7-3b+9 equal to b+2

rodikova [14]

The first expression can be simplified by combining like terms.

First, the terms "4b" and "-3b" can be combined to form "b"
Then, the terms "-7" and "9" can be combined to form "2"

Finally, we simply put these two final terms together, to form "b+2"

Hence, 4b-7-3b+9 is equal to be + 2.

Hope this helps!

8 0

2 years ago

Determine the type of transformation.

MAVERICK [17]

The answer is: rotation

4 0

2 years ago

What is the LCM of 180 and 792

lawyer [7]

Answer:

3960

Step-by-step explanation:

180=2×2×3×3×5

792=2×2×2×3×3×11

LMC=2×2×2×3×3×5×11

LMC=3960

4 0

2 years ago

What equals tan(x+y)? When sinx=1/2, cosy=sqrt2/2

Oksi-84 [34.3K]

Answer:

I believe it is 1 hope this helps

Step-by-step explanation:

8 0

3 years ago