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

What is the solution for -10 < x - 9?

x > -19
x < -1
x < -19
x > -1

Answers

Answer:

x > -1

Step-by-step explanation:

-10 < x - 9 add 9 to both sides of the inequation

9 + (-10) < x - 9 + 9 minus 9 will eliminate the positive 9 on the right side of the inequation therefore the answer is:

-1 < x  and x > -1

solve the equations 3/4x = 21

Answers

What you need to do is divide 21 by 3/4 and when you do divide it you should get 28 as a whole.
Answer:x = 28Step-by-step explanation:3/4x = 21=> 1/4x = 7=> 4 x 1/4x = 7 x 4=> x = 28Conclusion:

Therefore, the answer is 28.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Which one is not a function??

Answers

Answer:

The first one. All the x values are 2. So it wouldn't pass the vertical line test.

Step-by-step explanation:

pls help me with my maths if you can​

Answers

Answer :

A) R- d✖️5= x

B) m/4 - b = x
Ok done. Thank to me :> ✅

Solve for x.
X/-6 =-7

Answers

Answer:

x=42

Step-by-step explanation:

Which of the following options have the same value as 2\%2%2, percent of 909090?

Answers

Answer:

2 percent equals 0.02

so we just multiply that by 909090 so

0.02*909090=18181.8

Hope This Helps!!!

TA penny is dropped from a height of
196 feet off a bridge. The function
d=-161? + 196 models the distance din
feet the penny is from the surface of the
water at time t seconds. Graph this
function. Then use your graph to estimate
the time it will take for the penny to reach
the water. (Examples 3 and 4) 3.5 sec,
225
200
175
150
125
100
75
50
25
0
1 1 2 3 4 5 6 7 8 9

Answers

The penny reaches the water at 3.5 seconds

The height function is given as:

[tex]d = -16t^2 + 196[/tex]

(a) Graph the function

See attachment for the graph of the function

(b) Time to reach the water

From the graph, the curve of [tex]d = -16t^2 + 196[/tex] crosses the x-axis at points t = -3.5 and t = 3.5

But the time (t) cannot be negative.

Hence, the penny reaches the water at 3.5 seconds

Read more about height functions at:

https://brainly.com/question/10837575

help me out plzzzzzz

Answers

Answer:

  A=4, B=3, C=2, D=7  or  A=2, B=7, C=4, D=3

Step-by-step explanation:

To factor this, you are looking for factors of 8×21 = 168 that have a sum of 34.

  168 = 1×168 = 2×84 = 3×56 = 4×42 = 6×28 = 7×24 = 8×21 = 12×14

The sums of these factor pairs are 169, 86, 59, 46, 34, 31, 29, 26. The factor pair whose sum is 34 is 6×28. This means we can rewrite the expression as ...

  8x² +28x +6x +21

Factoring by pairs gives ...

  4x(2x +7) +3(2x +7)

  (4x +3)(2x +7)   ⇒   A=4, B=3, C=2, D=7  or  A=2, B=7, C=4, D=3

Answer:

......................

Easy question, Worth 80 points, PLEASE HELP!! What are the angles and the side measurements for this triangle?

Answers

Answer:

the angles are 89.2°, 34.5°, 56.3° and the sides are √26units, √8units, √18units respectively

Step-by-step explanation:

Distance between points (2,5) and (-1,2)

Using the formula, √(X2 - X1)² + (Y2 - Y1)²

= √(-1-2)²+(2-5)²

=√(-3)²+(-3)²

=√9+9

=√18 or 3√2

Distance between points (-1,2) and (4,3)

=√[4-(-1)]²+(3-2)²

= √5²+1²

=√25+1

=√26

Distance between points (2,5) and (4,3)

=√(4-2)²+(3-5)²

=√2²+(-2)²

=√4+4

=√8

Using Cosine rule/formula, C²= A²+B²-2abcosc

Let C be √18, A be √26 and B be √8

√18²=√26²+√8² - 2√26.√8cosc

18= 26+8 - 2√208cosc

18= 34 -2√208cosc

2√208cosc= 34-18

Cosc = 16/2√208

Cosc= 0.5546

c= Cos`¹(0.5547)

c= 56.3°

Using sine rule/formula

Sinc/C= Sina/A=Sinb/B

Sin56.3/√18= Sina/√26

Sina= (0.8320 × √26)/ √18

Sina= 0.9999

a= Sin`¹(0.9999)

a= 89.2

56.3+89.2+b= 180°( sum of angles in a triangle)

145.5 + b =180

b=180-145.5

b= 34.5

What is the solution set for the given inequality if the replacement set for r is {5, 6, 7, 8, 9, 10}? 16-r> 8

Answers

Answer:

  {5, 6, 7}

Step-by-step explanation:

The solution to the inequality is ...

  16 -r > 8 . . . . . given

  16 -8 > r . . . . . add r-8

  8 > r . . . . . . . simplify

The values in the replacement set that are less than 8 are {5, 6, 7}.

What is the measure of a third angle of this triangle

Please explain how to solve in a easy way

Answers

All triangles add up to 180 so it’s 20°

IS IT VALID OR NOT (explaining would be helpful) you want to determine how many students consider math to be their favorite school subject. you randomly survey 75 students. thirty-three students consider math to be their favorite subject while forty-two does not. so, you conclude that 40% of students at your school consider math to be their favorite subject.

Answers

Answer:

I would say not valid

Step-by-step explanation:

well, it would actually be 44% since 33/75= 0.44 to represent the number of ppl hat consider math their favorite subject

Ryan equation for the perimeter

Answers

2x+16+20=60

2x+ 36=60

2x=60-36

2x=24

X= 24/2

X= 12

The manger of a water park keeps track of the amount of money collected, M, and the number of tickets,T, each day.

Answers

Answer: The variable t us the dependent variable because it affects the amount of money collected, m, each day.

Will someone like please help me on my math ;(
What is the recursive formula for this sequence?
10, 14, 18, 22, 26....?!!?!

Answers

Answer:

option A

Step-by-step explanation:

The given Series:

10,14,18,22,26... is an Arithmetic Progression.

Concept:

The difference between consecutive numbers always remains the same.

For instance:

14 - 10 = 18 - 14 = 22 - 18 = 4

This difference is known as the common difference.

In an A.P., the nth (an) term of a series can be found out by:

[tex] \boxed{ \sf{a _{n} = a + (n - 1)d}}[/tex]

Here,

an is the nth terma is the first term of the series = 10n is the number of termsd is the common difference = 4

[Don't get confused by (n- 1), it's simply the number of terms - 1. If the number of terms, somehow, is (n - 1) itself, your formula will be an = a + ((n - 1) -1)d]

Soltution:

The first term of the given Series is 10.

==> a1 = 10

Finding an:

the nth term will be:

an = 10 + (n - 1)4

==> 10 + 4n - 4

==> 6 + 4n

Strategy:

All the given options have an and a(n-1). So we have to deduce a relation between an and a(n- 1).

Finding a(n-1):

==> a(n-1) = 10 + ((n - 1) -1)4

= 10 + (n- 2)4

= 10 + 4n - 8

= 4n + 2

Subtracting a(n-1) from an:

==> an - a(n-1) = 6 + 4n - (4n + 2)

==> an - a(n-1) = 6 + 4n - 4n - 2

==> an - a(n-1) = 4

==> an = 4 + a(n-1)

Hence, option A is the answer.

Solve for x help me please *****

Answers

Answer:

it's so blury pls fix the picture so I can solve it NOW

if sarah works 40 hours a week and earns 660 dollars per payroll. how much does she make an hour

Answers

Answer:16.50

Step-by-step explanation: hope it helps

Answer:

16.50

Step-by-step explanation:

What is the slope and and y-int of y≤3

Answers

Answer:

0

I hope this is the correct answer

Answer: Slope = 0, y-intercept = 3

Step-by-step explanation:

The inequality is a horizontal line, where everything below 3 is agrees with the inequality

The slope of any flat line is 0, and the y-intercept is always the constant (y=mx+b) in slope-intercept form, in this case it is 3

help please, put how you found it out if you can too !

Answers

Answer:

104 degrees

Step-by-step explanation:

180-(180-(180-(25+85)+65)+31)

A rug in the classroom is 3/4 yard wide and 8/6 yards long. What is the area of the rug in square yards?

PLEASE BE ANSWERED IN 30 MINS TOPS

Answers

Answer:

i think area of the rug is 1 square yards

Step-by-step explanation:

area = 3/4×8/6

area = 2/2

area = 1 square yards

Please answer this I am so bad at math

Answers

For triangle MNO, the statements that are true are m ∠ MNP < m ∠ ONP and MP< OP.

We are given a triangle MNO.

We are also given that:

m ∠ MNP = 38°

m ∠ ONP = 39°

This clearly means that:

m ∠ MNP < m ∠ ONP

Also, since m ∠ MNP < m ∠ ONP , the sides opposite to the angles will also follow the same relationship.

Side opposite to ∠ MNP is MP

and side opposite to ∠ ONP is OP

so, the relation will become:

MP < OP

Therefore, we get that, for triangle MNO, the statements that are true are m ∠ MNP < m ∠ ONP and MP< OP.

Learn more about triangle here:

https://brainly.com/question/17335144

#SPJ1

The statements m MNP m ONP and MP < OP are true for triangle MNO.

A triangle MNO is presented to us.

Additionally, we learn that

m ∠ MNP = 38°

m ∠ ONP = 39°

This demonstrates that:

m, MNP, m, and ONP

The sides that are opposite to the angles will also adhere to the same relationship because m MNP m ONP.

MP is the side that faces MNP.

and OP is the side opposite to ONP.

hence, the relationship will be:

MP < OP

As a result, we understand that for triangle MNO, the assertions m MNP m ONP and MP OP are true.

To learn more about visit Triangle :

brainly.com/question/21334670

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6) An ice cream factory makes 200 quarts of ice cream in 5 hours. How many
quarts could be made in 12 hours? What was that rate per day?

Answers

480 quarts in 12 hours, 960 in one day :)

Answer:

480 quarts could be made in 12 hours

Rate: 40 quarts per hour

Step-by-step explanation:

Rate: 200/5 = 40 quarts per hour

(40)(12) = 480 quarts

A lifeguard received 15 hours of first aid training and 10 hours of CPR training. What is the ratio of hours of CPR training to hours of first aid training?

Answers

Answer:

The ratio of hours of CPR training to hours of first aid training is  10:15

Step-by-step explanation:

12x+15y=-45 put into slope-intercept form, simplify all fractions.

Answers

Answer:

y = -4/5 x - 3

Step-by-step explanation:

15y = -45 - 12x

5y = -15 - 4x

y = -4/5 x - 3

will mark brainleist pls hep

Answers

Answer: 242

Brainliest plsssssss

Answer : 242………………..

PLEASE ANSWER THIS QUESTION!!!! ASSIGNMENT DUE BY 3:15!!!!!!
create an event that would give me a PROBABILITY of 1/2

Answers

Answer:

This is a really simple example, but imagine you had two marbles in a bowl. One is blue and one is green. Without looking, you reach into the bowl and pick one marble. What is the probability that the marble is blue?

There are two total marbles and you pick one, with one being blue and one being green. The probability that you pick the blue marble instead of the green marble is 1/2. The 2 represents the total number of marbles and the 1 represents the favorable outcome of drawing a blue marble.

Hope this helps!

a train which is 100 meters long is traveling at a speed of 90km per hour. How many seconds will it take for this train to pass completely through a 300 meter tunnel

Answers

The train will take 16 seconds to pass completely through a 300 meter tunnel.

Let suppose that the train moves itself at constant velocity, the vehicles needs to cover the tunnel length ([tex]L[/tex]) and its length ([tex]l[/tex]), both in meters, to pass through the tunnel, the time taken by the train ([tex]t[/tex]) is described by the following kinematic formula:

[tex]t = \frac{L+l}{v}[/tex] (1)

Where [tex]v[/tex] is the train velocity, in meters per second.

If we know that [tex]L = 300\,m[/tex], [tex]l = 100\,m[/tex] and [tex]v = 90\,\frac{km}{h}\,\left(25\,\frac{m}{s} \right)[/tex], then the time taken by the train is:

[tex]t = \frac{300\,m + 100\,m}{25\,\frac{m}{s} }[/tex]

[tex]t = 16\,s[/tex]

The train will take 16 seconds to pass completely through a 300 meter tunnel.

To learn more on uniform motion, we kindly invite to check this verified question: https://brainly.com/question/12920060

3(x+2)+5x how do i simplify that expression?

Answers

1st: do distributive property, that will give you 3x + 6 + 5x

2nd: combine like terms to simplify, this will give you 6 + 8x

Answer:

2(4x+3)

Step-by-step explanation:

Distribute 3 ( + 2 ) + 5 to 3 + 6 + 5

Combine the terms 3 + 6 + 5 to 8 + 6

Common factor Factor 3 ( + 2 ) + 5 to 2 ( 4 + 3 )

What is 1 4/5 times 2 1/3

Answers

Answer:

4.2

Step-by-step explanation:

Answer:

4  1/2

Explanation:

1 4/5 = 9/5

2 1/3 = 7/3

---------------------------

9/5 · 7/3  = 21/5 OR 4 1/2

HELP FAST (x+y+2)(y+1) REWRITE IN AN EQUATION

Answers

Answer:

xy+x+y^2+3y+2

Step-by-step explanation:

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