find the value of x²+y² if
x+y=9 xy=14​

Answers

Answer 1

Step-by-step explanation:

It's a system of equations.

From the first one we isolate x:

x = 9-y

And we substitute in the second one:

(9-y)y = 14

-y^2 + 9y - 14 = 0

y^2 - 9y + 14 = 0

D = 25

y1/2 = (9 +- 5)/2 = 2 or 7

y = 2 => x = 7

y = 7 => x = 2

x^2 + y^2 = 7^2 + 2^2 = 53


Related Questions

123.90706 written to 3 decimal places is

Answers

Answer:

123.907

Step-by-step explanation:

The military academy is placing cadets in rows for the parade. All rows must have the same number of cadets. If A company has 64 cadets and B company has 80 cadets, what is the greatest number of cadets who can be in each row?

Answers

Answer:

72

Step-by-step explanation:

If we find the average for both companies, it is 72, therefore there are two rows each with 72 cadets

Answer:

the answer is 16 please make me brainliest :> thx uuu

A two-digit integer is randomly selected. What is the probability that its digits are

different? Express your answer as a common fraction.

Answers

Answer:

9/10

Step-by-step explanation:

There are 10 possible choices for the 2nd digit : 0, 1, 2, 3, 4, 5, 6, 7, 8 , and 9.

Whatever the first digit is, there are 9 ways to make the 2nd digit different.

Find the slope of the line that passes through (10, 8) and (1, 9).​

Answers

Answer:

m = 1/9

Step-by-step explanation:

Given:

x = 10

y = 8

x1 = 1

y1 = 9

Solution:

y - y1 = m ( x - x1 )

9 - 8 = m ( 10 - 1 )

1 = 9m

m = 1/9

asdfasdfasdfasdfasdfasdfasdfasdfasdfasdfasdf

Answers

Answer:

Asdfasdfasdfasdfasdfasdfasdfasdfasdfasdfasdf

Step-by-step explanation:

Asdfasdfasdfasdfasdfasdfasdfasdfasdfasdfasdf

can somebody plsss help me 7qt= pt pls help meeee

Answers

Answer:

8.40665 Step-by-step explanation:

EASY QUESTION! MARK BRAINLIEST!

if i pay $3.50 a month how much do i pay a year? :)))

Answers

Answer:

42

Step-by-step explanation:

3.50x12 = 42

Betty makes 40 cupcakes per hour to find the number of cupcakes baked in h hours use the equation f(h)=40 evaluate f(5) and explain what it means

Answers

Answer:

Step-by-step explanation:

f(h) = (40 cupcakes / hr)*h

f(5) represents the number of cupcakes baked in 5 hours:  200 cupcakes

When is f(x) when x=-5

Answers

Answer:

f is equivalent to 15 and when you replace x with -5 you will have to multiply 15×(-5) and you will get -75 as an overall answer.

evaluate the expression 16.78-12.237​

Answers

Answer: The answer to the expression is 4.543.

Answer : 4.543

Step-by-step explanation :

First step, subtract . . . what is 16.78 minus 12.237​ ? 4.543

What is 16.281 rounded to the nearest whole number
and What is 16.281 rounded to the nearest tenth?

Answers

Answer:

16, and 16.3

Step-by-step explanation:

Answer:

1. 16     2.16.3

Step-by-step explanation:

2.16.281 is 16.28 which is near 16.3 so you round. Also anything above 5 you round and anything below 5 you round down.

Which pairs of angles are alternate interior angles? Select all that apply.

There are two vertical parallel lines and a transversal. The angle formed by the transversal on the left of the first vertical line are labeled as 1, and 2, and the angle formed by the transversal on the right of the first vertical line are labeled as 3 and 4. The angle formed by the transversal on the left of the second vertical line are labeled as 5 and 6, and the angle formed by the transversal on the right of the second vertical line are labeled as 7 and 8.

Answers

Answer:

9 and 10 i dont know why they have us doing this confusing  stuff

Step-by-step explanation:

Marisol grouped the terms and factored the GCF out of the groups of the polynomial 6x3 â€"" 22x2 â€"" 9x 33. Her work is shown. Step 1: (6x3 â€"" 22x2) â€"" (9x 33) Step 2: 2x2(3x â€"" 11) â€"" 3(3x 11) Marisol noticed that she does not have a common factor. Which accurately describes what Marisol should do next? Marisol should realize that her work shows that the polynomial is prime. Marisol should go back and group the terms in Step 1 as (6x3 â€"" 22x2) â€"" (9x â€"" 33). Marisol should go back and group the terms in Step 1 as (6x3 â€"" 22x2) (9x â€"" 33). Marisol should refactor the expression in Step 2 as 2x2(3x 11) â€"" 3(3x 11).

Answers

The statement that accurately describes what Marisol should do next is that Marisol should go back and group the terms in Step1 as (6x³– 22x²) – (9x – 33) and it can be determined by using the factorization method.

Given that,

Marisol grouped the terms and factored the GCF out of the groups of the polynomial [tex]\rm 6x^3- 22x^2- 9x + 33[/tex].

We have to find,

To factor out the common GCF out of the group, the following steps should have been taken by Marisol.

According to the question,

Marisol grouped the terms and factored the GCF out of the groups of the,

Polynomial; [tex]\rm 6x^3- 22x^2- 9x + 33[/tex].

To factor out the common GCF out of the group, the following steps should have been taken by Marisol following all the steps given below.

Step1: Regroup into parts using parenthesis and taking the negative sign common,

        [tex]\rm= 6x^3- 22x^2- 9x + 33\\\\= (6x^3-22x^2) - (9x-33)[/tex]

Step2; Firstly find out the common terms and rewrite the equation,

        [tex]= (6x^3-22x^2) - (9x-33)\\\\= 2x^2(3x^2-11) -3(3x-11)\\\\= (2x^2-3) (3x-11)[/tex]

Hence, The statement that accurately describes what Marisol should do next is that Marisol should go back and group the terms in Step1 as (6x³– 22x²) – (9x – 33).

For more details about Polynomial refer to the link given below.

https://brainly.com/question/25914835    

What is the opposite number of -5.23

Answers

opposite of -5.23 should be 5.23

Answer:

5.23

Step-by-step explanation:

The opposite of a number is the opposite signs,

the opposite of negative is positive and the opposite of positive is negative,

so the opposite of negative 5.23 is positive 5.23.

solve the equation 1 = u over 2

Answers

Answer:

u = 2, as we multiply both sides by the denominator (2).

6. Does the set of ordered
pairs represent a function?
Explain.
{(0,5), (-2, -1), (0, -5), (3, 20)}

Answers

Answer: this is not a function because the X values are repeating for example we see that 0 is set in the X value side it can’t have 5 and -5 as it’s y at the same time therefor it’s not a function

What is 1.3742 rounded to the nearest tenth?

Answers

Answer:

1.4 that is the true answer

Step-by-step explanation:

go to the place right after the decimal and then look at the number next to it.if it is greater the 5 it goes up to 1.4 and it is

What number multiplied by 3/10 is equal 2/3?

Answers

Answer: 20/9

Step-by-step explanation:

Mr. Ivey teaches dance at the middle school. His classes are 90 minutes long, and he spend 94% of class time teaching strength and conditioning. How many minutes do Mr. Ivey’s students spend on strength and conditioning in each class? | please give me the answer in a step by step explanation|

Answers

Answer: 84.6

Step-by-step explanation: Based on the given conditions, formulate: 90 x 94%

Calculate the product or quotient: 84.6

get the result: 84.6

Hopefully that helps you! :)

Will mark brainly!

What is the inverse of [tex]f(x)=\frac{2}{x-1} +6?[/tex]
[tex]f^{-1} (x)=\frac{2}{x-1} +6[/tex]
[tex]f^{-1} (x)=\frac{2}{x} +7[/tex]
[tex]f^{-1} (x)=\frac{2}{y-6} +1[/tex]
[tex]f^{-1} (x)=\frac{2}{x-6} +1[/tex]

Answers

Answer:

[tex] {f}^{ - 1} (x) = \frac{2}{x - 6} + 1[/tex]

Step-by-step explanation:

we will subistitute f(x) by y and solve the equation in order to get the value of x,

then we subistitute x by y and y by x and y=f^-1(x)

What is a÷3+11=-5 and how to doit with steps?

Answers

[tex]a\div 3 +11 = -5\\\\\implies a\div 3 = -5 -11\\\\\implies a \cdot \dfrac 13 =-16\\\\\implies a = -16 \cdot 3\\\\\implies a = -48[/tex]

Answer:-5 it's already given you the answer its only asking how you got it it's simply asking for the work

Step-by-step explanation: First off you're solving for A, (-5 x 14) which is -70 so now all you need is to do the work for (-70 by 14) and there you have it (probably)

what is the right answer
giving out brainliest

Answers

The answer is QT bisects VS

because according to the image you can see by the markings that both sides of VS are congruent being divide by QT

Hope this helps!
Brain is much appreciated!

Luis tiene la mitad de la edad de Juan menos un año, Pedro tiene un tercio menos edad que Luis

Answers

Answer:

dude I would love to help but I don't speak taco bell I'm sorry :/

y=-1,X+2y=9 solve by substitution show all work

Answers

Answer:

x = 11

Step-by-step explanation:

Substitute y = -1 into the equation.

x+2y = 9

; x+2(-1) = 9

x+(-2) = 9

x-2 = 9

x = 9+2

x = 11

(2w2+4w)÷(w–2) divide

Answers

THIS IS THE ANSWER ::

the answer is 4

HELPP PLS I NEED THIS WUICK ILL GIVE BRAINLEST

Answers

Answer:

x = 20

Step-by-step explanation:

(2x+10) = 180 - 130

2x + 10 = 50

2x= 40

x = 20

hope this helps! :)

Elijah left his house at time zero and drove for 6 minutes to the store, at a speed of 1 blocks per minute. Then he stopped and went into the store for 6 minutes. From there, he drove in the same direction at a speed of 1 blocks per minute until he got to the bank, which is 3 blocks away from the store. He stopped at the bank for 7 minutes. Then he drove home at a speed of 3 blocks every minute. Make a graph of showing the number of blocks away from home that Elijah is xx minutes after he leaves his house, until he gets back home.

Answers

When plotting the graph, the times and distances Elijah drove are added

cumulatively on the horizontal and vertical axis of the graph.

Please find attached, the graph showing Elijah's distance from home in number of blocks, after he leaves his house.

Reasons:

The distances travelled by Elijah in the given times are as follows;

[tex]\begin{tabular}{|c|cc|} \underline{Time}&&\underline{Blocks away from home}\\0&&0\\6&&6\\12&&6\\15&&9\\22&&9\\25&&0\end{array}\right][/tex]

Using the above table, a graph can be plotted with MS Excel insert Chart function, to plot a Scatter with Straight Lines and Markers chart.

Please find attached the required graph showing Elijah's distance driven in

number of blocks away from his house, in xx minutes after he leaves his

house, until he gets back home created with MS Excel.

Learn more about plotting graphs here:

https://brainly.com/question/371134

Answer:

the answer is 5 hours 6 minutes 2 seconds

Step-by-step explanation:

tim and sue share a small pizza. tim eats 2/3 o the pizza

Answers

Answer:

Sue eats 1/3 of the pizza

Step-by-step explanation:

Answer:

Sue eats 1/3 of the pizza

Step-by-step explanation:

3/3 - 2/3 = 1/3

Can someone help me with this?

Answers

Step-by-step explanation:

the average rate of change is

(f(x2) - f(x1)) / (x2 - x1)

(a)

(f(4) - f(-6)) / (4 - -6) = (3 - 1) / (4 + 6) = 2 / 10 = 1/5

(b)

(f(2) - f(-2)) / (2 - -2) = (-1 - -3) / (2 + 2) = (-1 + 3) / 4 = 2/4 = 1/2

Overnight the low temperature dropped to-6 degrees Fahrenheit. If the temperature during the was 11 degrees Fahrenheit, what was the difference between the high and low temperatures?

Answers

Answer:

17 degrees F

Step-by-step explanation:

11 - (-6) = 17

Subtracting a negative is the same as adding.

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