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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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The graph is shown for the equation y = –x + 4.

ivann1987 [24]

Answer:

Option C. $y=-\frac{1}{2}(2x-8)$

Step-by-step explanation:

we know that

If a system of two linear equations has an infinite number of solutions, then both equations must be identical

The given equation is

$y=-x+4$

Verify each case

Option A. we have

$y=-4(x+1)$

apply distributive property

$y=-4x-4$

Compare with the given equation

$-x+4 \neq -4x-4$

Option B. we have

$y=-(x+4)$

remove the parenthesis

$y=-x-4$

Compare with the given equation

$-x+4 \neq -x-4$

Option C. we have

$y=-\frac{1}{2}(2x-8)$

apply distributive property

$y=-x+4$

Compare with the given equation

$-x+4=-x+4$

therefore

This equation with the given equation form a system that has an infinite number of solutions

Option D. we have

$y=x+4$

Compare with the given equation

$-x+4 \neq x+4$

7 0

3 years ago

Use a proportion to solve the problem. Round to the nearest tenth as needed. A triangle drawn on a map has sides of lengths 9 cm

Volgvan

X/15=101/9
x= 505/3
x= 168.3

8 0

3 years ago

An electronics company makes communication devices for military contracts. The company just completed two contracts. The navy co

adelina 88 [10]

Answer:

Workers of army contract were more productive.

Step-by-step explanation:

To determine on which contract the workers were more productive compute the work done per hour by the workers for both contracts.

Navy Contract:

Number of devices = 2,300

Number of workers = 25

Number of weeks = 2 weeks

Number of hours per week = 40

The number of hours it took 25 workers to produce 2300 devices is =

$=25\times2\times40\\=2000\ hours$

Then number of devices produced in 1 hour is = $\frac{2300}{2000}= 1.15\ devices\ per\ hour$

Army Contract:

Number of devices = 5,500

Number of workers = 35

Number of weeks = 3 weeks

Number of hours per week = 40

The number of hours it took 35 workers to produce 5500 devices is = $=35\times3\times40\\=4200\ hours$

Then number of devices produced in 1 hour is = $\frac{5500}{4200}= 1.31\ devices\ per\ hour$

The workers for the army contract are more productive since they produce 1.31 devices per hour whereas the workers for navy contract produces 1.15 devices per hour.

4 0

3 years ago

21) Jim and his uncle went to the circus. Together they spent

SCORPION-xisa [38]

3/30 or 1/10 or $3
There all the same answer just different ways
The first one is unsimplified The second one is simplified The last one is in money form

3 0

3 years ago

Eloise is planning on retiring soon. When she first began working she invested $1500 in a retirement fund. The percent increase

cupoosta [38]

$2925 she would have left in her account :)

6 0

3 years ago

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