if x²+y²=20 and x-y=6 how is x.y?

Answers

Answer 1

Answer:

xy = - 8

Step-by-step explanation:

note that

(x - y)² = x² + y² - 2xy , that is

6² = 20 - 2xy

36 = 20 - 2xy ( subtract 20 from both sides )

16 = - 2xy ( divide both sides by - 2 )

- 8 = xy

Answer 2

[tex](x-y)^2=x^2-2xy+y^2[/tex]

Therefore

[tex]6^2=20-2xy\\36=20-2xy\\2xy=-16\\xy=-8[/tex]


Related Questions

Combine like terms to simplify the expression:
-50 m+ 10-3 m+ (-13) =

Answers

[tex] - 50m + 10 - 3m + ( - 13) \\ - 50m + 10 - 3m - 13 \\ - 53m - 3[/tex]

Hope it helps

please give brainliest

What is the permimeter of a 4’ square

Answers

Answer:

16'

Step-by-step explanation:

4'

4 equal sides

4+4+4+4=16

Answer: Permimeter of a 4’ square is 16.

Step-by-step explanation:

given that:

• length = 4

∴ Perimeter of Square = 4 x length

⇒ P = 4 × 4

⇒ P = 16 units ...answer...

hope that helps...

The graph of which of the following equations contains the point (-3,0)?
A. 22+y=6
B. x - 2y = 6
C. -x + 2y = 6
D. -2x + y = 6

Answers

Answer:

B. x-2y=6

Step-by-step explanation:

Which of the following are solutions to the equation below?
Check all that apply. x^2 + 6x + 9= 20

Answers

Correct answers to this equation is B and C .

The angle measures of quadrilateral RSTU are shown.

m∠R = (2x)°

m∠S = (3x – 35)°

m∠T = (x + 35)°

The measure of angle U is unknown. Can quadrilateral RSTU be a parallelogram?

Yes, opposite angles R and T are congruent to each other if x = 35.
Yes, consecutive angles R and S are congruent to each other if x = 35.
No, if x = 35, all three given angles measure 70°. The fourth angle would measure 150°.
No, if x = 35, the three given angle measures make it impossible for the figure to be a quadrilateral.

Answers

The quadrilateral RSTU be a parallelogram if opposite angles R and T are congruent to each other if x = 35 option first is correct.

What is quadrilateral?

It is defined as the four-sided polygon in geometry having four edges and four corners.

We have:

The angle measures of quadrilateral RSTU are shown.

m∠R = (2x)°

m∠S = (3x – 35)°

m∠T = (x + 35)°

If R and T are congruent:

2x = x + 35

x = 35 degree

Opposite angles R and T are congruent to each other if x = 35.

Thus, the quadrilateral RSTU be a parallelogram if opposite angles R and T are congruent to each other if x = 35 option first is correct.

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Answer:

It's c

Step-by-step explanation:

On edge 2023

What is the volume of this rectangular
pyramid?
3 m
4 m
Submit
5 m
cubic meters

Answers

Given:l= 5 mb= 4 mh= 3 mNote that:l= length b= breadth h= height To find:

The volume of the given rectangular pyramid.

Solution:

[tex]\large\boxed{Formula:V=\frac{1}{3}lbh}[/tex]

First, multiply the length (5), breadth (4) and height (3).

[tex]5×4×3[/tex]

[tex]= 60 \: cm [/tex]

Now, divide 60 by 3.

[tex]\frac{60}{3}[/tex]

[tex]\large\boxed{V= 20 \: {m}^{3}}[/tex]

Therefore, the volume of the given rectangular pyramid is 20 cubic meters.

2x²-8x-10
how do i factor this explains step:)

Answers

Answer:

Step-by-step explanation:

Solution

The distributive property is one of the handiest tools when factoring. You can't use it all the time, but it makes this problem so much easier. Use the distributive property to factor out the 2 from all three terms.

2(x^2 - 4x - 5)

Notice how much easier the problem got. There are only 2 integers that divide into 5. One of them is 5 and the other is one. So the solution is going to look like this

2(x    5) (x    1)

But what do you put in the space? Your choice is between a plus or a minus. Look to the middle term to find out. It is a minus 4. That means that the 5 must be minus because 5 is bigger than 1.

2(x - 5)(x     1 )

So what about the second bracket? It has to be plus. An odd number of minus signs always gives a minus. We used up the one minus we had so the one must have a plus in front of it.

2(x - 5)(x  +   1 )

tn=2(n-1)
Given the formula for the nth term, state the first 5 terms of each sequence.

Answers

Answer:

0, 2, 4, 6, 8

Step-by-step explanation:

substitute 1 for n in first term, 2 for n in second term, 3 for n in third term, 4 for n in fourth term, 5 for n in fifth term

2 (1) -2 = 0 first term

2 (2)-2 = 2 second

2 (3)-2 = 4 third

2 (4)-2 =6 fourth

2 (5)-2 =8 fifth

Use the drop downs to determine which symbols
would complete the inequality for the domain.
-4 _(a)_x__(b) 4
(a)
less than or equal to O
(b)
less than or equal to
less than
greater than or equal to
greater than
-5
5
ty
5
x

Answers

The domain of the graph is x ≥ -4

How to determine the domain?

From the given graph, we have the following highlights:

The x values start from -4The x value moves to the right of the graph (this means greater than)There is a closed circle at the smallest x value (this means equal to)

Greater than and equal to are represented by ≥.

This means that the symbol that completes the domain of the graph is ≥

Hence, the domain of the graph is x ≥ -4

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PLEASE GOD HELP ME!!!! ​

Answers

Another expression for the given rational function is [tex]x =r^\frac{1}{2}s^\frac{1}{2}[/tex]

Indices expression

Given the rational function expressed as:

x = √rs

We can reconstruct the expression by writing it using exponents as shown;

[tex]x =\sqrt{rs}=(rs)^{\frac{1}{2} }[/tex]

Separate to have:

[tex]x =r^\frac{1}{2}s^\frac{1}{2}[/tex]

Hence another expression for the given rational function is [tex]x =r^\frac{1}{2}s^\frac{1}{2}[/tex]

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im lost can someone help?​

Answers

Type that into cymath, it’s free and it’s gives you all the work for free.

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Consider the graph of the function f(x)=In x. Match each transformation of function f with a feature of the transformed function. function decreases as x increases x-intercept at y-intercept at

Answers

The matching of each transformed function is as follows;

g(x) = 2f(x) → y-intercept at (0,2)

h(x) = f(x) + 2 → asymptote of y=2

j(x) = f(x + 2) → y-intercept at (0,4)

m(x) = function decreases as x increases

How to match transformations?

A function is simply defined as a relationship between the inputs and the outputs. Now, we want to map each transformed function.

From the graph of this question as shown in the attached brainly link, the correct matching of each transformation of function f(x) = In x with a feature of the transformed function are as follows;

g(x) = 2f(x) → y-intercept at (0,2)

h(x) = f(x) + 2 → asymptote of y=2

j(x) = f(x + 2) → y-intercept at (0,4)

m(x) = function decreases as x increases

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change the sign of the x-coordinate and keep the sign of the y-coordinate the same.

Answers

IT doesn't make any sense

m || n, find the value of x.
m
n
(6x+16)⁰
(8x-18)°
Please help! I’ll give good review

Answers

Step-by-step explanation:

please mark me as brainlest

What is the slope of the line y=3-x/8?

Answers

M= - 1/8 I gotchu hope that helps

Match each expression on the left with an equivalent expression on the right. Some answer choices on the right will not be used.

Answers

Answer:

The answer is below :

HELP WITH THE RIGHT ANSWER FOR BRAINLIEST!!!

Answers

Answer: this is the wrong answer

Step-by-step explanation:

sanjana wrote the cross multiplication property for her proportion: xt=uy

Answers

Answer:

what does this mean. oh wAit iM dematerializinG mvxhkgd

hdgxmgxmgxkgzkgsktxktdktdktdktdtdkgd

Each statement describes a transformation of the graph of y = ln x. Which statement correctly describes the graph of y = ln(x - 7) + 3?

Answers

The statement correctly describes the graph of y = ln(x - 7) + 3 is translated 3 units up as well as 7 units to the right.

what is the graph of logarithmic function?

The graph of a logarithmic function has a vertical asymptote at x = 0. The graph of a logarithmic function will decrease from left to right

if 0 < b < 1. And if the base of the function is greater than 1, b > 1, then the graph will increase from left to right.

Given graph : y = ln(x), has a vertical and horizontal translation.

As we know, y = ln(x - h) + k | where h is the vertical shift, and k is the horizontal shift.

If ln(x - k), then the graph is translated right k units.If ln(x + k), then the graph is translated left k units.If ln(x) + h, then the graph is translated up h units.If ln(x) - h, then the graph is translated down h units.

Therefore, comparing y = ln(x - 7) + 3 it with different function we can write the graph of y = ln(x - 7) + 3 is translated 3 units up as well as 7 units to the right.

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Round your answer to the nearest tenth if necessary. Use 3.14 for .
A building can be approximated by a cylinder that is 100 meters in diameter and 30 meters in height. Find
its volume.
Its volume is approximately
m³.


OMG THIS IS SO HARD!!

Answers

Answer:

235500m3

Step-by-step explanation:

Volume of Cylinder= πr^2h

π=3.14, D=100m, r=D/2, r=100/2, r=50m, h=30m

πr^2h= 3.14×50×50×30

=3.14×75000

=235500m3

5/6 of all the money in Salma's bank account is ₹55,000. how much money does Salma have in her bank account?
please answer​

Answers

Answer:

₹66,000

Step-by-step explanation:

If 5/6 is 55,000 then just multiply 55,000 by the reciprocal  6/5 to get 66,000

Need help ASAP


Stuck on this question and need help

Answers

Answer:

Factory A = 1200

Factory B= 1350

Factory C= 1050

Factory D = 1100

Step-by-step explanation:

Factory B as the fastest rate of production

let me know asap PLEASE

Answers

Answer:

the correct answer is B

Step-by-step explanation:

A function g is the inverse for the function f if for y-f(x), x-g(y)

y=7x-6

Replace x with y

x=7y-6

Solve for y in x=7y-6

Switch sides

7y-6=x

Add 6 to both sides

7y-6+6=x+6

Simplify

7y=x+6

Divide both sides by the coefficient of y, which is 7. We have:

7y/7 = x/7+6/7

7y & 7 are cancelled out and we're left with: x/7 & 6/7

Now we find the LCM of the denominators which is 7.

7 divide the denominators equal 1, we use the to multiply the numerators, x & 6

our final answer= x+6/7

I hope this helps.

A 7-pack of DVDs costs $31.71. What is the unit price?

Answers

Answer: $4.53

Explanation:
7 dvds cost 31.71 so divide 31.71 by 7
31.71/7 = 4.53

The unit price of each is $4,53

Unit price is the value of each separate item. As per the listing, 7 DVD packs in total are $31,75. So, to know the value of each DVD, let's divide the total value - by the 7 DVDs.

$31,75 ÷ 7 = $4,53

Therefore, the unit value of each DVD is $4,53

rotation 180° about the origin

Answers

Answer:

The rule for a rotation by 180° about the origin is (x,y)→(−x,−y).

Step-by-step explanation:

The rotation of angle 180 degree about origin is described below.

Rotation 180° about the origin is a geometric transformation that involves rotating a figure or shape around the point (0,0),

Also known as the origin, by an angle of 180 degrees.

This means that every point on the shape is moved to an equal distance away from the origin but on the opposite side of the origin.

This transformation is a reflection where the shape is flipped along,

the x-axis or y-axis or both, depending on the shape's orientation.

The rotation 180° about the origin is a common transformation in various geometrical applications, such as computer graphics, engineering, and physics.

It is a simple transformation that can be easily represented and performed using matrices or complex numbers.

Therefore,

rotation 180° about the origin is a geometric transformation that is important in various applications and involves rotating a shape around the origin by an angle of 180 degrees, resulting in a reflection of the shape across the x or y-axis.

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!!
Mum spent 3/5 of her money and put 1/8 of the remainder in the bank. If she had $750 left, how much did she start with?

Answers

Answer:

$2142.86

Step-by-step explanation:

The remaining part of her money, after spending 3/5 of it and depositing 1/8 of it is equal to $750.

===============================================================

Retracing the steps :

⇒ She put 1/8 of the remainder in the bank, which gives $750

⇒ R - R/8 = 750

⇒ 7R/8 = 750

⇒ R = 750/7 × 8

⇒ R = 107.142857 × 8

⇒ R = 857.142856

* Don't worry, we'll simplify at the end of the answer *

=============================================================

Now, this remainder is what was left after spending 3/5 of it.

⇒ T - 3/5T = 857.142856

⇒ 2/5T = 857.142856

⇒ T = 857.142856/2 × 5

⇒ T = 428.571428 × 5

⇒ T = $2142.86 (nearest cent)

Which clock shows 11:22?

A.
A clock shows the hour hand slightly past 11 and the minute hand at one mark past the 3.
B.
A clock shows the hour hand slightly past 11 and the minute hand at 6.
C.
A clock shows the hour hand slightly past 11 and the minute hand at two marks past the 4.
D.
A clock shows the hour hand slightly past 11 and the minute hand at one mark past the 2.

Answers

Answer:

Option C

Step-by-step explanation:

A clock shows the hour hand slightly past 11 and the minute hand at two marks past the 4.

An airplane flight has 374 seats. The probability that a person who buys a ticket actually goes on that flight is about 85%. If the airline wants to fill all the seats on the flight, how many tickets should it sell?

Answers

Taking into account the definition of ratio and proportion, the airline should sell 440 tickets.

What is ratio and proportion

The ratio is the comparison of two quantities and is measured from the division of two values.

The relationship of equality that exists between two ratios, that is, between two comparisons between two determined quantities, is known as a proportion. So if [tex]\frac{a}{b}[/tex] corresponds to the ratio, then [tex]\frac{a}{b}[/tex] = [tex]\frac{c}{d}[/tex] equals a proportion.

Amount of tickets sold

An airplane flight has 374 seats. The probability that a person who buys a ticket actually goes on that flight is about 85%. The airline wants to fill all the seats (100%) on the flight.

This can be represented by the proportion:

[tex]\frac{374}{85}[/tex] = [tex]\frac{amount of tickets}{100}[/tex]

Solving:

amount of tickets= 100×[tex]\frac{374}{85}[/tex]

amount of tickets= 440

Finally, the airline should sell 440 tickets.

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1 what is sum of the interior angles of ABCD what is the sum of the exterior angles of CHFE 3 which sides are parallel to CE 4 whicl side id perpendoicular to CE 5 what is the of the measure of

Answers

Given that ABCD is a parallelogram, the sum of its interior angles is:
360°

What is a parallelogram?

A parallelogram is a rectilinear two-dimensional figure with four sides whose opposite sides are parallel. See the image attached.

What is the sum of the exterior angles of CHFE?

The sum of the exterior angles of any Triangle or any polygon is 360°. Hence, the sum of the exterior angles of CHFE (a polygon) is 360°.

Which sides are parallel to CE?

The sides that are parallel to CE are:

FH

AD and

IJ.

Which side is perpendicular to CE?

The side that are perpendicular to CE is side side HH, hence we can state that:

CE ⊥ EH, because both lines intersect each other at right angles.

What is the sum of ∠C and ∠H?

Because the sum of angles in a triangle is 180° and we already have ∠CEH to be equal to ∠90° hence,

∠C + ∠H? = 180° - 90°

= 90°

What is the measure of the exterior angles of a Regular Pentagon?

The measure of the exterior angles of a regular pentagon is 72°

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Which expression is not a polynomial?

Answers

Answer:

the first choice is not a polynomial because you can't divide by a variable.

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