3 years ago

Find value of x2+ y2, if x+y = 8 and xy= 2

1 answer:

4 0

I assume you want to find x^2+y^2 which is "x squared plus y squared"

x+y = 8
(x+y)^2 = 8^2 ... square both sides
x^2+2xy+y^2 = 64 ... use the FOIL rule
x^2+2(2)+y^2 = 64 ... replace xy with 2 (since xy = 2)
x^2+4+y^2 = 64
x^2+y^2+4 = 64
x^2+y^2+4-4 = 64-4 ... subtract 4 from both sides
x^2+y^2 = 60

Answer: 60

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How many solutions does the system have?

Novay_Z [31]

Answer:

none

Step-by-step explanation:

to solve this equation we would say that

let

x + y = 5 .............................. equation 1

x + y = 6 .................................... equation 2

from equation 2

x + y = 6 .................................... equation 2

x = 6 -y...................................... equation 3

substitute for x into equation 1

x + y = 5 .............................. equation 1

6 - y + y = 5

from here this equation cannot be solved further therefore it has no solution.

6 0

3 years ago

Adam has some candy to give to his three children. He first took seven pieces for himself and then evenly divided the rest among

kompoz [17]

2 candies for each kid

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4 0

3 years ago

Read 2 more answers

Find the missing value so that the two points have a slope of -2.(1,y) and (6,-5)

Aloiza [94]

Answer:

(-5-y)/(6-1)= -2

(-5-y)/(5)= -2

-5-y=-10

-y = -5

y = 5

5 0

3 years ago

What is the factorization of the polynomial below<br>-x^2 - 15x - 56

Andrej [43]

Answer:

Step-by-step explanation:

This is more easily understood if you take out a common factor of -1

-1(x^2 + 15x + 56)

7*8 = 56

7 + 8 = 56

-1 (x +8)(x+7)

3 0

3 years ago

Your Bank account balance was $235 and 24. After two checks were cashed (each for the same amount) your balance is now -45.58. W

elena55 [62]

235.24 + 45.58 = 280.82

280.82/2 = 140.41

each check was for $140.41

8 0

3 years ago