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Arlecino [84]
3 years ago
5

If (x + y)^2 = 1 and xy = -4, what is the value of x^2 + y^2?

Mathematics
1 answer:
weqwewe [10]3 years ago
3 0

Answer:

(x + y)^{2} = 1\\xy = -4\\x^{2} + y^{2} \\= x^{2} + 2xy + y^{2}  - 2xy \\=  (x^{2} + 2xy + y^{2})  - 2xy\\= (x+y)^{2} - 2xy\\= 1 - 2 *(-4) \\= 9

Hope this helps!

:)

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Write the equation of a line parallel to y= 2x + 2 that passes through the point (-1,-7). Show your work.
oksian1 [2.3K]

Answer:

\large\boxed{y=2x-5}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

Parallel lines have the same slope. Therefore if given line is

y=2x+2

then the slope of our line is m=2.

We have the equation:

y=2x+b

The line passes through (-1, -7). Put the coordinsted pf the point to the equation:

-7=2(-1)+b

-7=-2+b          <em>add 2 to both sides</em>

-5=b\to b=-5

Finally:

y=2x-5

6 0
3 years ago
Please help i don't understand!
vaieri [72.5K]

Answer: 9. x=-3/2     10. x=2

                   x= 5/2           x=5/3

Step-by-step explanation:

9. Factor the equation:

How: put 4x^2 in the bottom left box and -15 in the upper right box.

then multiply 4x^2 x -15 = -60x^2 and put your answer in the top center box of the diamond.

Put the -4x from the equation in the bottom box. Then list out factors that multiply to the top box (-60x^2) and add to the bottom box (-4x) The two factors are -10 and 6

-10 x 6 = -60

-10 + 6 = -4

Put -12x and -5x in the remaining white boxes and find what numbers multiply to each.

I attached a picture. The colored dots correspond with each other.

Eg: Orange dot x orange dot = number in white square

Now you get the two factors (2x+3)(2x-5)

Set both of these equal to 0 and solve

0=2x+3     0=2x-5

x= -3/2       x= 5/2

Do the same for the other problem

7 0
1 year ago
What is 49,736 to the nearest thousands?
brilliants [131]
50,000
Since 736 is \geq 500, we round it off to 50 000 instead of 49000. 
5 0
3 years ago
Elmer has a collection of 300 fossils. Of those, 21% are fossilized snail shells. How many fossilized snail shells does Elmer ha
kakasveta [241]
Use the percent proportion

 21          x
——  = —— 
100        300

to solve :
21 x 300 = 6300
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4 0
3 years ago
Giving brainlist to whoever answers
Sergio [31]

Answer:

6 2/7

Step-by-step explanation:

 

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2 years ago
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