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

The storage box for a flag is in the shape of a triangular prism. What is the surface area of the box?

Answers

*see attachment for the diagram of the triangular prism box

Answer:

528.8 in.²

Step-by-step explanation:

Surface area of triangular prism = 2(BA) + P*H

Area of triangular base (BA) = ½*b*h

b = 24.5 in.

h = 12 in.

BA = ½*24.5*12 = 147 in.²

Perimeter of triangular base = 24.5 + 17.1 + 17.1 = 58.7 in.

Height of prism = 4 in.

Plug in the values into the surface area formula:

Surface area of prism = 2(147) + 58.7*4

= 294 + 234.8

= 528.8 in.²

Solve
15x +4< 26.5
Need help fast pls

Answers

Answer:

x<1.5

explanation: move 4 to other side subtract it with 26.5 then divide it by 15

Answer:.

.

Step-by-step explanation:

add or subtract to simplify IHML

Answers

I added it so:

6x^2+8x

Answer:

A) 6x^2 + 8x

Step-by-step explanation:

2x^2 + 4x^2 = 6x^2

7x + x = 8x

6x^2 + 8x

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

A soccer tournament was designed with 512 teams where an eighth of the teams were eliminated after each round. Write a function, f(x), that models the number of teams still in the number of teams still in the tournament after x rounds have been played.

Answers

Answer:

f

Step-by-step explanation:

fsdsdsdwdd

1. (10 points) Explain how to factor the following:
A: 3m2 + 4m +1 = 0
B: 16n- 25
C: 20n3 - 15n2 + 4n - 3
D: 864.3 + 4

Answers

Answer:

A. 3m² + 4m + 1 = 0

3m² + 3m + m + 1 = 0

3m (m + 1) + 1 (m + 1) = 0

( 3m + 1 ) (m + 1) = 0

B. 16n - 25

16n = 25

n = 25/16

$750 at 6% for 18 months

Answers

Answer:

The interest is $1242.734 and the amount is $13242.734.

Step-by-step explanation:

STEP 1: Convert interest rate of 1.5% per month into rate per year.

STEP 2: Convert 210 days into years.

STEP 3: Find an interest by using the formula , where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.

In this example P = $12000, i = 18% and t = 0.57534 years, so

STEP 4: Find an amount by using the formula .

Since P = $12000 and I = $1242.734 we have

what is the linear equation of a line with a rate of change of -1/2 that passes through the point (0, 4)

Answers

Answer:

y = 9/2 (fraction)

Step-by-step explanation:

y = mx+c

m = slope

c =y -intercept

Therefore, the required equation is:

y = 2x + c

Putting the point (0,4) in it as it lies on a line, we get:

4 = -1/2 + c

Therefore:

c = 9/2

So, y = 9/2

Brainlist pls!

PLEASE HELP NOW!!!!!!!

Answers

Answer: BC

Step-by-step explanation:

I know this because i did this one before your welcome

How do you find a slope and the Y intercept

Answers

Answer:

Step-by-step explanation:

Typically in a line the y intercept is the point where your graph crosses the y-axis, and the x value is 0 so (0,b) is the y-intercept where y-intercept is b

The slope can be found by finding the rate of change, so the change in y / the change in x

You can also calculate the slope with 2 points so (x1, y1) (x2, y2)

you take the y values and subtract them, then divide by the x values like this:

y2 - y1 / x2 - x1

If a line is going up to the right in Quadrant I then the slope is positive, if the slope of the line goes down in Quadrant IV  then the line slope is negative

Slopes of horizontal lines are zero, the slope of a vertical line is undefined

We use the letter m to stand for the slope

What is the area of the following circle?
Either enter an exact answer in terms of or use 3.14 for 1 and enter your answer as a decimal.
d = 8

Answers

Answer:

50.24

Step-by-step explanation:

A= pi r^2

A= 3.14 * 4^2

A= 3.14 * 16

A= 50.24


What is 50% of 98 pls

Answers

The answer is 49 :))

can someone help me with this please - can you also give a step by step not just an answer

Answers

Answer:

The way I was taught to do it is to change value into a total fraction, then multiple the numerators together, multiply the denominators together, and finally reduce as far as possible.

7/9 x 5 2/5 = 7/9 x 27/5 = 189/45 = 4 9/45 = 4 1/5

1 3/4 x 4 1/6 = 7/4 x 25/6 = 175/24 = 7 7/24

It took me 5 min .....

In the number 15.42, how is the value of the digit "2" different from the value of the digit "2" in the number 12.54?

Answers

This I crazy
This is crazy


Han creates a scatter plot that displays the relationship between the number of items sold, x, and the total revenue, y, in dollars.
Han creates a line of best fit and finds that the residual for the point (12, 1,000) is 75. The point (13, 930) has a residual of -40.
Interpret the meaning of -40 in the context of the problem.

Answers

Answer:

In context of the problem, -40 means that 40 was the difference between the actual data, and the estimated data.

Step-by-step explanation:

Here -40 represent the difference between the actual data and the estimated data.

Given that,

Han creates a line of best fit and finds that the residual for the point (12, 1,000) is 75. The point (13, 930) has a residual of -40.

Based on the above information we can say that the -40 shows the difference of data.

Learn more: brainly.com/question/17429689

Kiran has 2 & 3/4 pounds of flour. When he divides the flour into equal-sized bags, he fills 4 & 1/8 bags. How many pounds fit in each bag?

Answers

Answer:

The number of pounds that will fit in each bag is 2/3 pounds of flour

Step-by-step explanation:

Here, we want to know the amount of pounds that will fit in each bag

What we have to do here is to divide the total number of pounds of flour, by the number of bags filled

We have this as;

2 3/4 divided by 4 1/8

This is;

11/4 divided by 33/8

= 11/4 * 8/33 = 2/3 pounds

Hi need points?
I’ll also give best answer

Answers

Answer:

can you answer my latest post plsssssss id appreciate it

Step-by-step explanation:

The midpoint of GH is (-2,3), and its endpoints are G (g,4) and H (-2,h). What are the values of g and h?

Answers

Answer:

g =-2

h = 2

Step-by-step explanation:

left end      middle     right end

G(g,4)          (-2,3)         (-2,h)

solve for e: 5+4e=25

Answers

Answer:

e = 5

Step-by-step explanation:

E = 5 , please mark brainliest

-3x + -15 = 12
x = __

Answers

Answer:

x=9

Step-by-step explanation:

alright so first we eliminate the -15 and to do that we add 15 on both sides:

-3x-15+15=12+15

-3x=27

Now we divide 3 on both sides to make the equation equal to x

[tex] \frac{-3x}{-3} = \frac{27}{-3} [/tex]

x=9

And that's your answer, you're welcome :)

A motorist is pumping gas into his car at a rate of StartFraction 5 over 12 EndFraction of a gallon every StartFraction 1 over 24 EndFraction of a minute. At this rate, how many gallons of gas will he have pumped into his car in One-half of a minute?
1
5
10
20

Answers

The answer might be 5, I am not 100% sure tho

it is 5

Step-by-step explanation:

Please answer! I’ll make brainliest

Answers

Answer:

16 feet

Step-by-step explanation:

We are Given that

We have a 34 foot ladder leaning against a 30 foot buildingWe are asked to find the distance of the bottom ladder from bottom of the building.

A ladder leaning against a object makes the ladder slanted so that means 34 is our hypotense.

The building height And distance of the bottom of ladder and building is our legs so our formula we use is

[tex] {30}^{2} + {x}^{2} = {34}^{2} [/tex]

[tex]900 + {x}^{2} = 1156[/tex]

[tex] {x}^{2} = 256[/tex]

[tex]x = 16[/tex]

Match each number with the value of the number rounded to the nearest hundred. 700800763849738Answer: _________________

Answers

Answer:

7008007638496700

Step-by-step explanation:

if you are rounding near the nearest 100th then it would be 7008007638496700

A teacher is planning a class trip to the aquarium. The aquarium requires 2
chaperones for every 15 students. The teacher plans accordingly and orders a
total of 85 tickets. How many tickets are for chaperones, and how many are for
students? Use the table to help you solve.
Use a table.
(Fill rows as needed.)
kids
chaperones
total
15
2
17

Answers

Answer:

The aquarium requires 2 chaperones for every 15 students. The teacher plans accordingly and orders a total of 85 tickets. How many tickets are for chaperones, ...

Step-by-step explanation:

Rodney is making three pizzas. The recipe says that, for one pizza, he needs 2 cups of flour, 2 teaspoons of instant active dry yeast, 2 cloves of garlic, 1 tablespoon of olive oil, and some other ingredients. Rodney is out of flour and goes to the store to buy a bag containing 20 cups of flour. How much flour will he have left over after making the pizzas?*

Answers

Answer:

+20+-+6+=+14+

He will have 14 cups leftover

Step-by-step explanation:

need help asap will give brainly

Answers

Answer:

x = 60

Step-by-step explanation:

So, ever triangle, no matter what shape or size, is always going to equal 180 degrees. You start off by trying to find angle L which is 71. The way you find this is you subratch 109 from 180 which ultimately gives you 71.

180 - 109 = 71

After that you have to add what you already have (49 degrees) with what you just found (71 degrees)

49 + 71 = 120

Now that you have 120, you have to again subtract 180 by 120 to get your answer, 60 degrees. And that's it.

180 - 120 = 60

What is the equation of the line that passes through the point (-3, 4) and has a
slope of 1?

Answers

Answer:

y =1x+4

Step-by-step explanation:

$60,000 is invested for 2 years at a simple interest rate of 5%. how much does the investment earn?

Answers

Answer:

6,000

Step-by-step explanation:

It's correct trust me

What is the value of x in the equation 0.03x − 1.2 = 0.24?

Answers

Answer:

x = 48

Step-by-step explanation:

solved it just now-

A wedding reception was
being held at Stefano's
restaurant. They charged
$2.00 per person for
appetizers, $20.00 per
person for the main course
and $250 for the wedding
cake. There were 50 people
at the reception. What was
the total cost of the
reception?

Answers

Answer:

the total cost of the wedding would be: 1,350

Step-by-step explanation:

2×50=100 and 20×50=1,000

100+1,000=1,100

1,100+ 250= 1,350

total for wedding is 1,350

:)

Answer: The answer for this problem is $1350.

Step-by-step explanation:

The first thing you do is to see how much money for the appetizers and the main course did all 50 people pay.

50 x 2 = 100, how much money in total for the appetizers

50 x 20 = 1000, how much money in total for the main course

Once you're done with that! Next, you add the total prices for the appetizers and the wedding cake. Then, you add up the $250, so you get your answer!

$100 + $1000 = $1100

$1100 + $250 = $1350

This is how you get the answer!

2/4 of the sum 17 and 4

Answers

[tex]\frac{2}{4} =\frac{1}{2}[/tex]

[tex]\frac{1}{2}[/tex]×[tex](17+4)[/tex]

[tex]\frac{1}{2}[/tex]×21[tex]=10.5[/tex]

Hope this helped.

The sum of 17 and 4 is 10.5
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