Solve the two following simultaneous equations and find the possible values of x and y. [tex]x^2 +y^2-2xy = 64[/tex]

[tex]x^2 - y^2 = 40[/tex]

Answers

Answer 1

Step-by-step explanation:

If u assume x=y=1, then x+y=2 and x^2+y^2=2

And now, xy=1.

Therefore x=y=1.

Let me know, if anyone come with other answers too.

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Answer 2

Step-by-step explanation:

(*) x^2 + y^2 - 2xy = 64

<=> (x - y)^2 = 64

<=> x - y = 8 or x - y = -8

(**) x^2 - y^2 = 40

<=> (x - y)(x + y) = 40

Case 1: x - y = 8

(**) <=> 8(x + y) = 40

<=> x + y = 5

we have: x+y = 5 and x-y = 8

--> x = (5+8)/2 = 6.5

--> y = x - 8 = 6.5 - 8 = -1.5

so (x,y) = (6.5 , -1.5)

Case 2: x - y = -8

(**) <=> -8(x + y) = 40

<=> x + y = -5

we have: x + y = -5 and x - y = -8

--> x = [ (-5) + (-8) ]/2 = -6.5

--> y = -5 - x = -5 + 6.5 = 1.5

so (x,y) = (-6.5 , 1.5)

Answer: (x,y) = (6.5 , -1.5) and (-6.5 , 1.5)


Related Questions

Clarice adopted a puppy at the pound. He weighed 3.2 lb when she adopted him. Clarice graphed on a number line the weight of her puppy each week from the day she adopted him thorough week 8. Which best describes the numbers she graphed on the number line?

A.) Whole Numbers
B.) Integers
C.) Rational Numbers
D.) Real Numbers

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C.) rational numbers

What is the value of 4/15 divided by 2/3? A. 8/45 B. 14/15 C. 5/2 D. 2/5

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Reduce the numbers with the greatest common factor which is 2 Answer is 2/5 or 0.4

Find the exact solution to the equation. (2 points) five to the power of quantity nine minus three x equals one hundred and twenty five.

Answers

Answer:

x = 2

Step-by-step explanation:

Five to the power of quantity nine minus three x equals one hundred and twenty five.

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

5^(9 - 3x) = 1255^(9 - 3x) = 5^39 - 3x = 33x = 9 - 33x = 6x = 6/3x = 2

11 Select the decimal that is equivalent to 36 Choose 1 answers 0.28 0.23 0.37 0.37 None of the above​

Answers

None of those are near 36 at all, so none of the above would be your answer.

Evaluate f(8) =(8-5)2 for f(8)
X=8

Answers

Answer: f(8) = 9

Step-by-step explanation:

PEMDAS: Solve for parenthesis first.

f(8)= (8-5)^2

(3)^2

Square that, you get 9.

Which sentence illustrates the distributive property?

Answers

I believe that C is correct!

Answer:

Yep. Answer is C

Step-by-step explanation:

jim paid 9.82 for a book. he told nora the cost was about 10 was 10 a reasonble amount

Answers

Well if you are asking if the cost of the book was a reasonable amount that would depend on what book but if the question is if that was a reasonable number to round up to then yes that would be reasonable, because in the number 9.82 it shows that the number isn’t four or under signaling you would round up, making it ten dollars.

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Answers

Answer: 6x^2 - 12x - 21

Explanation:

h(x) = 2x^2 - 4x - 7
h(3x) = 3(2x^2 - 4x - 7)
h(3x) = 6x^2 - 12x - 21

Answer:

h(3x)=18x^2-12x-7

Step-by-step explanation:

[tex]h(x)=2x^2-4x-7\\h(3x) = ?\\\\h(3x) = 2(3x)^2 -4(3x)-7\\\\h(3x)=2\left(3x\right)^2-4\times\:3x-7\\\\h(3x)=3^2\times\:2x^2-4\times\:3x-7\\\\h(3x)=3^2\times\:2x^2-12x-7\\\\h(3x)=18x^2-12x-7[/tex]

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Answers

Plus a negative value becomes subtraction:

-12 + -23 = -12 -23 = -35

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a. 0,-1
b. -3,3
c. -1,3
d. -1,0​

Answers

Answer:

i think b but let me known if im wrong

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Answers

The tax paid on the meal is represented by 0.05m.

my bad i put the wrong answer sometimes i put the wrong answer and i dont pay attention to it at all

Plz help me with this

Answers

Answer:

            $1.5

Step-by-step explanation:

dollars:                     7.5     ----------------------->    ??

chicken wings         5      ----------------------->     1

to get 1 of 5 we have to divide 5÷5 = 1

so we have to divide the dollars by 5 too:   7.5÷5 = 1.5

HELP ME PLEASE!!!!!!
Beth enlarged the triangle below by a scale of 5. She found the area of the enlarged triangle. Her work is shown below.

What was Beth’s error?

She should have divided One-half (4) (3.5) by 5.
She should have divided One-half (4) (3.5) by 5 squared.
She should have multiplied (4) (3.5) by 5.
She should have multiplied One-half (4) (3.5) by 5 squared.

Answers

Answer:

The possible error made by Beth is directly multiplying scale of 5 to area of original triangle and getting area of enlarged triangle, which is wrong.

Step-by-step explanation:

Originally Triangle has height =3.5cm and width=4cm

Beth enlarged the same triangle by scale of 5 and calculate area of triangle

The area of triangle as given as A= $$\frac{1}{2} \texrm{ (base) (height)}$$

Area of original triangle is A =$$\frac{1}{2}(3.5 \times 4)$$

Since, The triangle is enlarged by scale of 5

New height =3.5x5 = cm and new width=4x5cm

Area of new triangle is

A' = $$\frac{1}{2} (\textrm{new width} ) ( \textrm{new height})$$

A' = $$\frac{1}{2}(3.5 \times 5)(4\times 5)$$

A' = $$\frac{1}{2}(3.5 \times 4)(5^{2})$$

A' = $$A (5^{2})$$

Now, Looking what error beth made is:

Beth found Area of new triangle is A' = $$\frac{1}{2}(3.5)(4)(5)$$

The possible error made by Beth is directly multiplying scale of 5 to area of original triangle and getting area of enlarged triangle, which is wrong.

Answer:

b

Step-by-step explanation:

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Dion estimated correctly by rounding down. He ordered enough brick. The exact area is 129.5 square feet.

Dion did not estimate correctly by rounding up. He did not order enough brick. The exact area is 129.5 square feet.

Dion did not estimate correctly by rounding down. He did not order enough brick. The exact area is 129.5 square feet.​

Answers

Answer:

__________________

I think the answer is A.

the first one

__________________

Answer:

A

Step-by-step explanation:

10/2
is it rational or irrational?

Answers

RATIONAL BECUZ ANYTHING THAT CAN WRITTEN AS A FRACTION IS RATIONAL. OK????

Answer: it is a rational number.

The length of each edge of a cube is x centimeters. If x is an integer, why can't the volume of the cube equal 15cm. Show work please

Answers

Let's try some integer values of x to see what volumes we get

If x = 0, then x^3 = 0^3 = 0*0*0 = 0If x = 1, then x^3 = 1^3 = 1*1*1 = 1If x = 2, then x^3 = 2^3 = 2*2*2 = 8If x = 3, then x^3 = 3^3 = 3*3*3 = 27

We do not get 15 as a result in that list above. So there are no integer solutions to x^3 = 15

In other words, the value [tex]\sqrt[3]{15}[/tex] is not an integer.

Sam works at a used car dealership, where he earns 7% commission on each sale. If he sells a car for $12,000 and another for $17,500, how much commission does Sam earn?

Answers

Answer:

$2,065

Step-by-step explanation:

The computation of the commission earned by Sam is shown below:

For each sale, he gets 7% commission

So,

For $12,000, the commission amount is

= $12,000 × 0.07

= $840

And, for another sale i.e. $17,500, the commission amount is

= $17,500 × 0.07

= $1,225

So, the total commission he earned is

= $840 + $1,225

= $2,065

The quotient of 8 divided by 1/5 will be less than or greater than 8.


help plz!

Answers

Answer:

less than 8

Step-by-step explanation:

what is the answer to the problem 6=a/2+2

Answers

Answer:A=8

:)

8 divides by 2 would equal 4 and then you add 4 by 2 and it makes 6 :)

Given the points R(-4, 5) and S(2, -1). Find RS, the midpoint of RS, and point P which is 13 of the distance from R to S. Leave your answer as a simplified radical.

Answers

Answer:

Step-by-step explanation:

Given the points R(-4, 5) and S(2, -1), to get the distance between the points, we will use the formula;

D = √(x2-x1)²+(y2-y1)²

Given x1= -4, y1 = 5, x2 = 2 and y2 = -1

RS = √(2-(-4))²+(-1-5)²

RS = √(6)²+(-6)²

RS = √36+36

RS = √72

RS = √2×36

RS = 6√2units

To get the midpoint, we will use the formula M(X,Y) = (x1+x2/2, y1+y2/2)

(X,Y) = (-4+2/2, -1+5/2)

(X,Y) = (-2/2, 4/2)

(X,Y) = (-1,2)

Hence the midpoint is (-1,2)

To get a point P 1/3 of the distance of RS, we will multiply 1/3 with the the distance RS as shown

P = 1/3 × 6√2

P = 2√2

2x^2 - x/y if x =1.5 and y = 3

Answers

Answer:

4

Step-by-step explanation:

2x² - x/y

if:

x = 1.5

y = 3

2*1.5² - 1.5/3

2*2.25 - 0.5

4.5 - 0.5

4

i need help ASAP this question is on a school assignment

Answers

Answer:

a)12

b)1/12

c)4/12

Step-by-step explanation:

a) the coin is a 1/2 and the dice is 1/6 so you times the bottom number and you get 12

b) since that is a exact one way to get it has to be 1/12 chance

c) so to only get a tails it would be 6/12 and less than 5 means you can get 1,2,3, and 4 so that is 4 ways out of 12 ways so its 4/12

There are exclusions that make the expression 27a^3-1/9a^3-6a+1 undefined
True or false?
Thank u to anyone that can help

Answers

false I believe.

I hope this helps-

Answer:

True

Step-by-step explanation:

I chose false and got it wrong.

What is the range of the function for the given domain?
y = 2x - 5
D: (-2,0, 2,4}
Select the correct answer.
OR: {-9, 0,-1,3}
OR: {9,-5, 9, 13}
OR: {-9, -5, -1,3}
OR: {-9, 0, 9, 13}

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 9 \: , \: - 5 \: , - 1 \: , \: 3 \: }}}}}[/tex]

Option C is the correct option.

Step-by-step explanation:

Here, y = 2x - 5 and domain ( D ) = { -2 , 0 , 2 , 4 )

when, x = -2 , Range = 2 × (- 2)- 5 = - 4 - 5 = -9

when, x = 0 , range = 2 × 0 - 5 = 0 - 5 = -5

when x = 2 , range = 2 × 2 - 5 = 4 - 5 = -1

when, x = 4 , range = 2 × 4 - 5 = 8 - 5 = 3

Range = { -9 , -5 , -1 , 3 }

Hope I helped!

Best regards! :D

Answer:

Step-by-step explanation:

please help assaapsapspaspaspapspaspapappspappspapsapsapsapsp

Answers

Answer:

I want to say C

Figure jkl is simular to fugure jkl :)

A person runs 1/5 miles in 1/40
Hour The person's speed is
miles per hour.

Answers

Answer:

1/5 × 40 = 8

the person's speed is 8 miles per hour

Write an addition number sentences that correspond to the arrow below

Answers

The image won’t load

Solve for a. 3x=a+3/b

Answers

[tex]3x=a+\frac3b\\\\-\frac3b\quad\ -\frac3b\\\\3x-\frac3b=a\\\\a=3x-\frac3b[/tex]

or, if you mean  3x=(a+3)/b :

[tex]{}\ \ 3x=\dfrac{a+3}b\\\\\times b\quad\ \ \times b\\\\3bx=a+3\\\\-3\qquad-3\\\\3bx-3=a\\\\a=3bx-3[/tex]

Find the area of the polygon with the given vertices. N(-2,1), P(3,1), Q(3, -1), R(-2, -1)

Answers

Answer:

10

Step-by-step explanation:

N(-2,1), P(3,1), Q(3, -1), R(-2, -1)

The polygon is the rectangle with sides 2 and 5

So the area is 2*5 = 10

see attached

X-2x-15??????


HELP!!!

Answers

Answer:

-x-15

Step-by-step explanation:

x-2x-15

1x-2x-15 (if a term doesn't have a coefficient then the coefficient is 1)

(1-2)x-15 (collect like terms by subtracting their coefficients)

-1x-15

-x-15 (when the term has a coefficient of -1, the number doesn't have to be written but the sign remains)

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