if xsqured +y squred =16, xy=10 find the value of x+y using bionomial expansion

Answers

Answer 1

Answer:

x+y=6

Step-by-step explanation:

to understand thisyou need to know about:algebraPEMDAStips and formulas:x²+y²=(x+y)²-2xylet's solve:

according to the question:

(x+y)²-2xy=16substitute the value of xy:(x+y)²-2.10=16simplify multiplication:(x+y)²-20=16add 20 to both sides:(x+y)²-20+20=16+20=>(x+y)²=36[tex] \sf squre \: root \: both \: sides : \\ \sqrt{ (x + y {)}^{2}} = \sqrt{36} \\ \therefore x + y = 6[/tex]


Related Questions

Use the iterative formula xn+1 = 4 - √x with x0 = 2 to find the solution to f(x) correct to 2 decimal places.

Answers

x= 2.44 to 2 decimal places

Which table represents viable solutions for y = 5x, where x is the number of tickets sold for the school play and y is the amount of money collected for the tickets?

A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries negative 100, negative 25, 40, 600. The second column is labeled money collected (y) with entries negative 500, negative 125, 250, 3000.
A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries negative 20, 20, 100, 109. The second column is labeled money collected (y) with entries negative 100, 100, 500, 545.
A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries 0, 10, 51, 400. The second column is labeled money collected (y) with entries 0, 50, 255, 2000.
A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries 5, 65, 80, 200. The second column is labeled money collected (y) with entries 25, 350, 400, 1000.

Answers

Third table is true with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries 0, 10, 51, 400 and the second column is labeled money collected (y) with entries 0, 50, 255,2000.

Here, the equation is given as;

y = 5x

Where, x is the number of tickets sold for the school play and y is the amount of money collected for the tickets.

What is linear equation?

A linear equation is an algebraic equation of the form y = mx + b

involving only a constant and a first order (linear) term.

Now, we have the following equation;

y = 5 x

For finding the table that complies with this restriction and also have the corresponding values for x and y.

The third table complies with the given condition and has correct values for the given variables;

⇒ x = 0 then y = 0

⇒ x = 10 then y= 50

⇒ x = 51 then y = 255

⇒ x = 400 then y = 2000

Clearly, Third table is true with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries 0, 10, 51, 400 and the second column is labeled money collected (y) with entries 0, 50, 255,2000.

Learn more about the Linear equation visit:

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Answer:

Step-by-step explanation:

Which table represents viable solutions for y = 5x, where x is the number of tickets sold for the school play and y is the amount of money collected for the tickets?

A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries negative 100, negative 25, 40, 600. The second column is labeled money collected (y) with entries negative 500, negative 125, 250, 3000.

A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries negative 20, 20, 100, 109. The second column is labeled money collected (y) with entries negative 100, 100, 500, 545.

A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries 0, 10, 51, 400. The second column is labeled money collected (y) with entries 0, 50, 255, 2000.

A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries 5, 65, 80, 200. The second column is labeled money collected (y) with entries 25, 350, 400, 1000.

Mark this and return

Can someone help !

Solve for x.

Answers

Answer:

3) x = -4

4) x = 9

Step-by-step explanation:

3) (x+15)+(x+16) = 23

2x+31 = 23

2x = -8

x = -4

4) (2x-12)+1 = (x-2)

2x-11 = x-2

x = 9

Small boxes contain DVDs, and large boxes contain one gaming machine. Three boxes of gaming machines and a box of DVDs weigh 48 pounds. Three boxes of gaming machines and five boxes of DVDs weigh 72 pounds. How much does each box weigh?

Answers

I don’t know so sorry maybe ask someone else but just go back to the passage and see if you can find it

please help i’ll give brainliest please !

Answers

Answer:

a theory explaining the structure of the earth's crust and many associated phenomena as resulting from the interaction of rigid lithospheric plates which move slowly over the underlying mantle.

Step-by-step explanation:

Answer:

D.

Hope that helps!

Step-by-step explanation:

SOMEBODY HELP ME PLZ!!!!

Answers

Answer:

The Answer is c

Step-by-step explanation:

This is because the bus can hold up to 40 people so 0 to 40

which means that the least amount of people on the bus would be 0 and the most amount of people on the bus would be 40 so 0 < x < 40

please help!

what is the slope of the line that has a y - intercept of -1​

Answers

Answer:

Slope = 2

Step-by-step explanation:

The line with the y-intercept of -1 has a slope of 2. You can find this by using the formula (y1-y2)/(x1/x2), in other words, rise over run.

Need help with geometry pls picture provided

Answers

Answer:

y= 30 x=15

set up your proportions for example 9/6 to y/20 and 9/6 to x/10 and then cross multiply

So uh- here we are again

Answers

the correct answer is 1/6

Answer:

1/6

Step-by-step explanation:

When subtracting or adding fractions, you always want the denominator (aka the bottom number of the fraction) to be the same number. Since both of your denominators are both the same, we can subtract!

                                                 2/6 - 1/6 = 1/6

Remember that you don't subtract the bottom, just the top. Hope this helped :)

Find sin A.
a.
4
sin A = -
3
sin A
b.
4
sin A =
d.
sin A =

Answers

Answer:

4/5

sin A = perpendicular/hypotenuse

sinA = 28/35

sinA = 4/5

hope it helps

option B

Answer:

B. Sin A = [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Sin A = opposite / hypotenuse

Sin A = 28 / 35

Divide both by 7

28 / 7 = 4

35 / 7 = 5

[tex]\frac{28}{35} = \frac{4}{5}[/tex]

-4(5k - 7) + 2k = -2(9k + 5)

Answers

1. -20k+28+2k=-18k-10
2. -18k+28=-18k-10
3. 28=-10
No solution
-20k+28+2k=-18k-10
-18k+28=-18k-10
28=-10
No solution

Brandon’s factory produces 832 containers per hour on the first production line. After maintenance is completed on the first production line, the factory is able to produce 1102 containers per hour. By what approximate percent did the maintenance increase production? (Round your answer to the nearest whole percent.)

Answers

Answer:

270

Step-by-step explanation:

1102-832

Answer is 270 step by step

Fill in the table to convert the units of time from hours to minutes or minutes to hours.
Minutes Hours
60 1
300
4

Answers

Ok so first we need to under stand that 60 minutes is equivalent to 1 hour, by knowing this we should be able to answer the following. Our first box which needs to be filled in asking how many hours are in 300 minutes, well let’s figure this out. So we know that in 60 minutes it will be equivalent to one hours, so in order to find how many minutes are in 300 minutes we would divide 300 by 60 which give a us 5. Therefore causing the second box to me 5 hours. Our next and final box is asking how many hours are in four minutes well this one is a little harder than our previous one but I’ll help you through it. By following the same procedure as we did the previous question we are going to divide 4 by 60 and we know that dividing like so we are going to get a decimal but that’s ok it’s going to give us the answer we need to fill in the box. By dividing like so we should get a long decimal that look that this 0.066666666666667. I am going to simply this down to 0.0667. Causing my last box to be 0.667.
Summary:
second box: 5 hours
Third box: 0.0667 hours
Hope this helps!!!
Please tell me if I have made an error, I enjoy learning from my mistakes:)
Have a great rest of your day❤️

Select all the equations that are true. Explain your thinking.

Answers

Answer:

A,D,E,

Step-by-step explanation:

Which expressions is equivalent to 3(x - 2)?

Answers

I think is


3x+3x-2



= 3x-6

Find LCM of 45, 60 & 135
Pls need answers

Answers

Answer:

540

Step-by-step explanation:

The multiples of 45 are 9,3,3,1

The multiples of 60 are 12,4,2,1

The multiples of 135 are 27,9,9,9,3

Therefore the LCM can be calculated as follows

= 5×3×2×2×3×3

= 540

Hence the LCM is 540

What is 8.45 rounded to the nearest tenth?

8.0

8.4

8.5

9.5

Answers

8.5
You round 5 up so you’d get 8.50 :)

Answer:

8.5

Step-by-step explanation:

Simplify 3(x+2)-6+x please!

Answers

The answer is 4x that the answer

You have 5 3/4 cups of sunflower seeds and 1 1/4 cups of peanuts for birdseed. You use 2/3 of the total mixture each week. How many weeks your birdseed mixture last

Answers

Answer:

Step-by-step explanation:

The bird food lasts 1½ weeks.

Your birdseed mixture last till 10 and a half weeks.

What is an improper fraction?

A fraction that has the numerator higher than or equal to the denominator is said to be an improper fraction.

Given:

You have 5[tex]\frac{3}{4}[/tex] cups of sunflower seeds and 1[tex]\frac{1}{4}[/tex] cups of peanuts for birdseed.

The total mixture,

= 5[tex]\frac{3}{4}[/tex] + 1[tex]\frac{1}{4}[/tex]

= 23/4 + 5/4

= 28/4

= 7 cups.

You use 2/3 of the total mixture each week.

That means,

the number of weeks,

= 7 x 3/2

= 21/2

= 10.5 weeks.

Therefore, the mixture will last till 10 and a half weeks.

To learn more about the improper fraction;

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PLZZZZZZ HEEEELP WILL MARK BRAINLIEST!!!!!!!!

Answers

Answer:

w [tex]\geq[/tex] -2

Step-by-step explanation:

i think that the answer would be w [tex]\geq[/tex] -2

Answer:

w>-2

Step-by-step explanation:

Divide both sides by -10.

When spinning a ten-number spinner (with numbers 1-10), what are the odds of the arrow landing on 8?​

Answers

There is a 10% to land on any of the numbers since there are 10 of them. :).

the annual rent of the house is 3600$ . Find the rent of 5 months

Answers

Answer:

1500 dollars

Step-by-step explanation:

annual means yearly and we want to find how much it will cost for 5 months

First thing we want to do is find how much it cost every month and to do that we divide 3600 by 12

3600/12=12 so it cost 300 dollars monthly

then we just multiply that by 5

5x300=1500 so it cost 1500 dollars for 5 months

Answer:

Step-by-step explanation:

1500 for 5 momth

(3600*5)/12

The coordinates of the point where the lines y= 2x- 3 and
y=5 intersect are?

Answers

Answer:

Step-by-step explanation:

4. In the figure below, what is the value of x?
130°
(x + 15)

Answers

Answer:

The answer to this will be 35 because both equations have to equal 180 degrees

Step-by-step explanation:

Hope this Helped

$13,000 for 8 years at
3.6% annual
simple
interest

Answers

$16,744.00

Link: http://www.moneychimp.com/features/simple_interest_calculator.htm

!!20 Points and brainliest if you answer it!!
A group of students were surveyed regarding their enjoyment of country and Jazz music. 8 students enjoyed both types of music, glving a total of 32 students who enjoyed country music, and 14 who enjoyed Jazz. How many total students were questioned in this survey?

A. 54
B. 38
C. 26
D. 46​

Answers

Answer:

46

Step-by-step explanation:

Answer:

D is correct

Step-by-step explanation:

Help please!!!!!!!!!!!

Answers

Answer: x = 12, ∠B = 45°

Step-by-step explanation:

Angle A and Angle B are alternate exterior angles meaning that they are equal

5x - 15 = 2x + 21

3x - 15 = 21

3x = 36

x = 12

B = 2(12) + 21

B = 24 + 21

B = 45

Men and women aren’t equal evaluate this statement. Give some religous scriptures

Answers

Answer:

Indeed, men and women are not the same. They have structural differences in their genetic makeup that make them different and compatible with each other. In addition, they have differences in character, behavior, strength and even emotional sensitivity.

Even the scriptures themselves speak of differences between the two: according to the book of Genesis, the woman was created from the rib of Adam, the first man on earth. With this, the woman, theoretically, has one more rib than the man.

The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 10
pizzas in all, 4 of which were mushroom pizzas. What percentage of the pizzas were
mushroom pizzas?

Answers

Answer: 40%

see 10 as 100% so the 4 would be 40%:) have a great day

Answer:

40%

Step-by-step explanation:

4/10=.40

.40=40% as a percentage

What is the volume of this composite solid?

5 m

12 m

9 m

A. 864 cubic meters
B. 567 cubic meters
C. 1188 cubic meters
D. 132 cubic meters
I need help plz may mark brainiest

Answers

The answer is a. 864

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