If x²+ y²= 80 and xy = 12, find the value of (x - y)².​

Answers

Answer 1

[tex](x-y)^2\\\\=x^2+y^2 -2xy\\\\=80-2(12)\\\\=80-24\\\\=56[/tex]

Answer 2
We need to factorise (x−y) 2

We know the identity (a−b)2 =a2 −2ab+b2

Thus we have (x−y)2 =x2 −2xy+y2

Related Questions

i need the answer pls help pls

Answers

Answer:

B

Step-by-step explanation:

x² - 8x + 97 = 0

the general form to solve such quadratic equations is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -8

c = 97

so, we get

x = (8 ± sqrt((-8)² - 4×1×97))/(2×1) =

= (8 ± sqrt(64 - 388))/2 = (8 ± sqrt(-324))/2 =

= (8 ± sqrt(324×-1))/2 = (8 ± 18×i)/2 = 4 ± 9i

What did is the total volume,in cubic feet of the shape below

Answers

Answer:

64ft^3 (The ^3 is meant to be cubed) 64 feet cubed.

Step-by-step explanation:

The picture has already split the two shapes.

*Remember Volume Formula: LWH or Length times Width times Height.*

The first shape is 4ft x 2ft x 2ft

The second shape is a little bit of a fuss but it's alright.

*Talking about the length of Shape no.2*

Since the second shape is longer than the first one (by length). You need to double it meaning: 4x2 or 4+4 = 8ft

The second shape is 8ft x 2ft x 3ft

First shape should have a volume of 16ft

Second shape should have a volume of 48ft

Now, you need to add the two volumes:

48ft + 16ft = 64ft cubed

In an experiment, the probability that event A occurs is 7/8, the probability that event B occurs is 7/9, and the probability that events A and B both occur is ¾ . What is the probability that A occurs given that B occurs?

Question 5 options:

0.829


0.125


0.762


0.964

Answers

Answer:

Here is answer

Step-by-step explanation:

sorry if it is wrong

I think 0.762 in the answer

A printer can print 32 pages in 80 sec.
The rate in lowest terms is______?

Answers

Answer:

0.4 pages per second

24 pages per minute

1 page can be printed every 2.5 seconds

Each answer is technically correct, use the one that's most appropiate

Step-by-step explanation:

32 pages in 80 seconds

32 / 80 = 0.4 pages per second

0.4 / 1

If they want it in minutes, multiply both sides by 60 seconds

0.4 * 60 / 1 * 60

24 pages per minute

11. Reduce 48/72 to its lowest terms.
A. 6/9
B.2/3
c. 24/36
D. 30/54

Answers

Answer:

its A my friend because: 48/2=24. 72/2=36

24/2=12. 36/2=18

12/2=6. 18/2=9

If a house is 4,753 sq. ft, at the cost of $175/sq. ft what is the total cost of the house?

Answers

Answer:

$831,775

Step-by-step explanation:

$175 / sq ft and there are 4,753 square feet, so all we have to do is

175 x 4753 = 831775

Hope this makes sense. If you need further explanation, let me know!

- profparis

Answer:

$831,775

Step-by-step explanation:

the total cost of the house is 4,753 × 175 which is $831, 775

i will give brainliest

Answers

Answer:

Below

Step-by-step explanation:

Population: 10,000

Sample: 250

HELP GIVING BRAINLIEST + STARS

Answers

let’s make this an arrow

from A to B, the arrow is flying up to the sky. from B to C, the arrow is coasting in the air for a short moment. from C to D, the arrow is plummeting back to the ground.

Motion graphs! Oh yes, I remember those.

I will be using the example of a remote-control car.

For Section AB:

The car starts moving steadily in one direction.

For Section BC:

The car has stopped moving.

And finally, for section CD:

The car has turned around and returned to the starting point at a steady pace.

I hope this answers your question.

-Toremi

please help me please pleasr please

Answers

Answer:

which one's anwer you want

2. length= 65 ft width=24 m area=135 in2

a
Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$250 and $300.
Answer using the 68 - 95 - 99.7 rule.
[ ? ]%

Answers

Answer:

2 Answers By Expert Tutors

Since 400 is the mean and the standard deviation is 50, $400-$450 is +1 standard deviation. One standard deviation is 34.1% probability that the worker's wages would fall in this range.

Find the surface area of the pyramid.

Answers

Answer:

i think the answer is 87.

Step-by-step explanation:

i think its 87.

PLEASE HELP ME FIND THE SURFACE AREA OF THIS PRISM

Answers

Answer: i don't know

Step-by-step explanation: i don't know sorry

Write 0.00205 in scientific notation.

Answers

Answer:

Therefore, 0.00205 in scientific notation is 2.05 × 10-3 and It has 3 significant figures. In scientific e-notation it is written as 2.05e-3.

Step-by-step explanation:

Answer:

[tex]2.05 \times 10 ^{ - 3} [/tex]

The clients who get haircuts at Cameron's salon have a variety of hair colors.
brown 7
black 7
blond 4
4
What is the experimental probability that the next client to get a haircut Cameron's salon will
have blond hair?
Write your answer as a fraction or whole number.
P(blond)

Answers

Using it's concept, it is found that there is a [tex]\frac{2}{9}[/tex] experimental probability that the next client to get a haircut Cameron's salon will have blond hair.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For an experimental probability, these number of outcomes are taken from previous trials.

In this problem, 4 out of 18 clients had blond hair, hence the probability is given by:

P(blond) = 4/18 = 2/9

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

Enter the output values (Y) with the given function and input values (X).

Answers

Answer:

y = 3x - 2

X Y

6 16 3(6)-2 -> 18-2 = 16

5 13 3(5)-2 -> 15-2= 13

4 10 3(4)-2 -> 12-2= 10

7 19 3(7)-2 -> 21-2= 19

2 tan x - Sin 2x ÷ 2 Sin^2 x = tan x​

Answers

Looks like the claim is

(2 tan(x) - sin(2x)) / (2 sin²(x)) = tan(x)

Recall the double angle identity for sine:

sin(2x) = 2 sin(x) cos(x)

as well as the definition of tangent:

tan(x) = sin(x) / cos(x)

Then on the left side, we can cancel factors of 2 sin(x) to get

(2 sin(x) / cos(x) - 2 sin(x) cos(x)) / (2 sin²(x))

= (1/cos(x) - cos(x)) / sin(x)

Multiply this by cos(x)/cos(x) :

(1/cos(x) - cos(x)) / sin(x) = (1 - cos²(x)) / (sin(x) cos(x))

Recall that for all x,

sin²(x) + cos²(x) = 1

so that

(1 - cos²(x)) / (sin(x) cos(x)) = sin²(x) / (sin(x) cos(x))

= sin(x) / cos(x)

= tan(x)

as required.

The sets J and E are given below.
J= {2, 3, 4, 8)
E={0,1,3,7)
Find the intersection of J and E.
Find the union of J and E.

Answers

Answer:

See below

Step-by-step explanation:

Intersection is the elements that are in both sets :  {3}

Union adds them together  { 0 1 2 3 4 7 8 }

A rectangular garden is 15 ft longer than it is wide. Its area is 700 ft. What are its dimensions?

Answers

20ft and 35ft are the dimensions

Step-by-step explanation:

Given :-

The length of rectangular garden is 15 feet longer than its widthThe area of rectangular garden is 700ft²

To find:-

Dimensions of rectangular garden

Solution:-

According to the question , let the length of rectangular garden be x and width be x + 15

We know , the formula for area of rectangular garden is L × B

putting the known values ,

700ft.² = X × (X + 15)

700 ft. ² = x² + 15x

x² + 15 x - 700 = 0

By factorising it we get , x = 20

So , the dimensions of rectangular garden are 20 feet and 35 feet respectively for length and width.

The circumference of circles

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's find the circumference of given circle ~

Circumference :

[tex]\qquad \tt  \dashrightarrow \: \pi{d}^{}[/tex]

where, d = diameter

Now, let's calculate it ~

[tex]\qquad \tt  \dashrightarrow \: c = 4×\pi{}^{}[/tex]

[tex]\qquad \tt  \dashrightarrow \: c = 4\pi\: \: in[/tex]

That's the answer I terms of π, but we can also plug in the approximate value of pi as 3.14

[tex]\qquad \tt  \dashrightarrow \: c = 4 \times 3.14{}^{}  \\\qquad \tt  \dashrightarrow \: c = 12.56\: \: in\\\qquad\tt \dashrightarrow \: c \approx 12.6\: \: in[/tex]

I NEED HELP ASAP!!!!!!!!!!!

Answers

Answer: Below

Step-by-step explanation:

Let's start with 12. Going off of basic quadrilateral rules, adjacent angles will be equal to 180. So we make the equation:

8x - 12 + 3x + 5 = 180
Simply.
11x - 7 = 180
11x = 187
x = 17

Since R = P, R = 3(17) + 5 = 56

Now with 14.

We know ABC is both 115 and 4x+6, so:
115 = 4x + 6

109 = 4x
x = 27.25

ADB is 6x - 11, so 6(27.5) - 11 = 152.5

12) 56

14) 152.5

Find the area of the figure.

Answers

answer:

804.980cm²

explanation:

attached

--

if this helped, please consider giving brainliest !

.
Ben deposits $1,750 into each of two savings accounts.

Account I earns 2.75% annual simple interest
Account II earns 2.75% interest compounded annually
Ben does not make any additional deposits or withdrawals. Which amount is closest to the difference between the interest Ben will earn in Account I and the interest Ben will earn in Account II at the end of 2 years?

Answers

The difference between the interest Ben will earn in Account I and the interest Ben will earn in Account II at the end of 2 years is $1.32.

What is the differnce in the interest?

Simple interest is when only the amount deposited increases in value.

Simple interest = deposit x interest rate x time

1750 x 0.0275 x 2 = $96.25

Interest earned with compounding = future value - amount deposited.

The formula for calculating future value:

FV = P (1 + r) nm

FV = Future value P = Present value R = interest rate N = number of years

1750 x (1/0275)^2 = $1847.57

$1847.57 - $1750 = $97.57

Difference in interest; $97.57 - $96.25 = $1.32

To learn more about future value, please check: https://brainly.com/question/18760477

What is the answer to this? Due in 3 minutes!

Answers

The answer are
X=3
Wx=29

For Wx

7x+8
So you put the 3 in the x


7x3+8
21+8 =29


Hopefully that makes sense

Good luck

The rest is in attached
You use the formula
Wx = 1/2(uv +st )

A 6 foot wide painting should be centered on a 10 foot wide wall. How many feet (x) should be on each side of the painting?

Answers

Answer:

The answer would be two feet.

Step-by-step explanation:

Step 1. Do 10-6 (10 being the total space and 6 being the painting)
Step 2. Get the answer of 4.
Step 3. Divide four by 2 because it needs to be centered.
Step 4. Get the answer of two feet on each side.
I hope this helps! :)

fill in the missing values of the following number patterns

a) 24;12;0;__ ; __

b) -36; -25; -16; __; __​

Answers

Answer:

A) 24;12;0;-12;-24 because the numbers are gradually going down and they go into the negatives which means they repeat the numbers in the beginning.

B)-36;-25;-16;-9;-4 i am uncertian on this one but i think im doing it right.

) A random sample of n measurements was selected from a population with unknown mean μ and standard deviation σ. Calculate a 95% confidence interval for μ for the following situation:

n=20, x¯¯¯=63.8, s=2.84
≤μ≤

Answers

Answer:

ask MisterBrainly for help

A.
B.
C.
D.
Please help

Answers

Answer:

I Think the answer is B I'm sorry if I'm wrong

Jacob can swim the 400-meter distance in 6.4 minutes now.How many more meters per minutes will Jacob need to swim to reach is goal?Explain how you found your answer.

Answers

Answer:

62.5 meters per minutes

Step-by-step explanation:

10. Cindy is wrapping a birthday present for her sister. The present is in a 10 points
box that has a length of 10 in, a width of 6 in and a height of 4 in. If the
wrapping paper costs $0.25 per square inch, how much would it cost to
wrap Cindy's present? *

Answers

Answer:

$648

First find the surface area, and then multiply that by 12 for the inches, then multiply that by the cost

Answer:

$62

Step-by-step explanation:

First find the surface area of the box: 2(lw+lh+wh) = 2(60 + 40 +24) = 124(2) = 248

Now create a ratio to find the total cost:

[tex]\frac{0.25}{1} = \frac{x}{248}[/tex]

Solve for x by cross multiplying -

x=62

Keith wants to give 1/2 an apple to each of his 6 friends. How many apples does he need?

Answers

Answer:

12 apples is the answer because 1/2 divided by 6 is 12

Step-by-step explanation:

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