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Shalnov [3]
3 years ago
9

The sum of two integers is 9 and the sum of their squares is 53. Find the integers.

Mathematics
1 answer:
Schach [20]3 years ago
6 0
X + y = 9 Subtract x from both sides.
y = 9 - x

x^2 + y^2 = 53
x^2 + (9 - x)^2 = 53 Remove the brackets.
x^2 + 81 - 18x + x^2 = 53 Collect the like terms on the left.
2x^2 - 18x + 81 = 53 Subtract 53 from both sides.
2x^2 - 18x + 81 - 53 = 0
2x^2 - 18x + 28 = 0 This factors, but you can see it much easier if you pull out 2 as a common factor.
2(x^2 - 9x + 14) = 0
2(x - 2)(x - 7) =0 You could divide by 2 on both sides. But you can also leave it.
x - 2 = 0
x =  2
x - 7 = 0
x = 7
If x = 2 then y = 7
If x = 7 then y = 2
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Y varies inversely with x<br> k= 1.25<br> What is the value of y when x is 5?
alexgriva [62]

Answer:

The value of y is 0.25

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form y*x=k or y=k/x

For x=5

Find the value of y

k=1.25

substitute in the equation

y=k/x -----> y=1.25/5=0.25

4 0
3 years ago
Candice won the lottery for 30000 dollars.However 20% of her money has to go to the state for taxes.How much money will she rece
Trava [24]

Answer:

She will receive $24,000 after paying taxes

Step-by-step explanation:

This question can be solved using a rule of three.

20% of her money has to go to the state for taxes. So she will receive 100-20 = 80%. $30000 is 100% = 1. How much is 80% = 0.8?

$30000 - 1

$x - 0.8

x = 30000*0.8

x = 24000

She will receive $24,000 after paying taxes

7 0
3 years ago
Triangle HIJ has vertices H(1, 7) , I(−4, −2) , and J(−3, 5) . Write the coordinate notation for a translation of 3 units right
e-lub [12.9K]

Step-by-step explanation:

(x, y) -> (x+3, y+4)

that is what 3 units to the right (3 units into the outsource x direction) and 4 units up (4 units into the posits y directing) mean.

so, all points go through this translation

(1, 7) -> (4, 11)

(-4, -2) -> (-1, 2)

(-3, 5) -> (0, 9)

3 0
2 years ago
Please can someone solve this
Crazy boy [7]

Answer:

200.86

Step-by-step explanation:

Using the formulas:

A=πr2

C=2πr

Solving for A:

A=C2

4π=50.242

4·π≈200.85812

I hope this helps.

4 0
2 years ago
Tell which set or sets the number below belongs to natural numbers, whole numbers, integers, rational numbers, irrational number
N76 [4]

Answer:

A,B,C,E,F

Step-by-step explanation:

The only one that it is not is irrational. I think this is correct and I hope it helps

4 0
2 years ago
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