Mathematics High School

If x^2 + y^2 = 10 and xy = -3, what is the value
of (x - y)^2?

A) 12
B) 16
C) 20
D) 25

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]xy=-3,\ x=-\frac{3}{y}\\ \\ x^2+y^2=10\\ \\ \frac{9}{x^2}+x^2=10\\ \\ x^4+9=10x^2\\ \\ x^4-10x^2+9=0\\ \\ (x^2-1)(x^2-9)=0\\ \\ (x-1)(x+1)(x-3)(x+3)=0\\ \\ x=-3,-1,1,-3\ y=1,3,-3,-1\\ \\ (x-y)^2\\ \\ (-3-1)^2=(-4)^2=16[/tex]

Related Questions

Determine the equation of the circle graphed below.

Answers

Answer:
(-1,3)
Explanation:
Just-an educated-guess

y = 6x - 13
5x - 2y = 5
Using the substitution method

Answers

Answer:

x=3, y=5

Step-by-step explanation:

someone please answerrrrrr

Answers

The third answer because it is a linear increasing line

Darren and his 2 sisters want to equally share 17 tokens at an arcade. How many tokens will each of them get

Answers

Answer:

6

Step-by-step explanation:

3 divided by 17 there will be 1 left over

A graph shows day labeled 2 to 10 on the horizontal axis and miles on the vertical axis. A line decreases from 1 to 2, increases from 2 to 3, decreases from 3 to 5, increases from 5 to 8, decreases from 8 to 9, and increases from 9 to 10.
The scatterplot shows how many miles Marissa jogged over 10 days. Which statements are true? Check all that apply.

Marissa jogged 5 miles on the first day.
Marissa jogged 6 miles on the second day.
Marissa jogged 9 miles on the third day.
Marissa jogged 3 miles on the fourth day.
Marissa jogged 3 miles on the ninth day.

Answers

Answer:

A. Marissa jogged 5 miles on the first day.

D. Marissa jogged 3 miles on the fourth day.

E. Marissa jogged 3 miles on the ninth day.

Step-by-step explanation:

Edge 2021

Marissa jogged 5 miles on the first day, Marissa jogged 3 miles on the fourth day and Marissa jogged 3 miles on the ninth day are true statements.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

In this we have to observe the graph and say which alternatives are correct, so we have:

The alternatives A,D and E

then looking at the graph, we can see that the following facts are indicated:

Marisa jogged 5 miles on the first day.

Marisa jogged 3 miles on the second day.

Marisa jogged 4 miles on the third day.

Marisa jogged 3 miles on the fourth day.

Marisa jogged 3 miles on the ninth day.

Hence, Marissa jogged 5 miles on the first day, Marissa jogged 3 miles on the fourth day and Marissa jogged 3 miles on the ninth day are true statements.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ2

please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Area = 7.853981 in^2                (2.5 Pi)

Perimeter = 11.42478 in              (3.63Pi)

Step-by-step explanation:

Area

Lg semi circle area = Pi(2^2)(0.5) = 3.141593(4)0.5) = 6.283185 in^2

Sm semi circle area = Pi(1^2)(0.5) = 3.141593(2)(0.5) = 1.570796 in^2

added together = 7.853981 in^2

Perimeter

Lg semi circle perimeter = Pi(4)(0.5) + 2 = 8.283185 in

Sm semi circle perimeter = Pi(2)(0.5) = 3.141593 in

added together = 11.42478 in

PLEASE HELPPP
which of these choices are equivalent to the quotient below check all that apply square root of 100 over the square root of 20

Answers

Answer:

A

Step-by-step explanation:

12) 44°
acute
obtuse
right
straight

Answers

Acuse because and acuse angle is under 90 degrees and obtuse is not

Answer:

Acute

Step-by-step explanation:

Anything bellow 90 degree is acute

Anything above 90 degree is obtuse (except 180)

A right is just 90 degrees

and straight is just 180 degrees

Please answer for Brainliest.

Answers

cameron would be making more money because he is making $7.60 per hour. you can find this out by dividing $30.40 by the 4 hours from the table given.

9) 8.081 +
+ 0.6 = 10.201
10)
- 3.328 = 0.96​

Answers

9) should be 8.681 so Falso 10) False

4x + 5y = 22
7x - 3y = -32

Answers

Answer:

x = -2

y = 6

Step-by-step explanation:

i multiplied the 1st equation by 3 and the 2nd by 5 to get the y-terms to zero out

   12x + 15y = 66

+  35x - 15y = -160

   47x = -94

x = -94/47

x = -2

substitute -2 for 'x' to solve for 'y':

4(-2) + 5y = 22

-8 + 5y = 22

5y = 30

y = 6

   

help me pls!!!! :c rip

Answers

Answer:

p^⁴/5

Step-by-step explanation:

Step-by-step explanation:

p^4/5. I just know the answer

9.16 rounded to the nearest hundredth

Answers

Answer:

9.20

Step-by-step explanation:

9.12 because 6 rounded to nearest hundredth is 10 and that is a whole number. You also already know that 16 is a higher number than ten so it would be rounded to 20 or in this case 2. Hope this helps :)

I wanna do good on this plz help me!!

Answers

Answer:

2/1

Step-by-step explanation:

JA is the same side as KM

JA=24, KM=12

24/12=2

PLZ HELP I NEED HELP ASAP PPLLLZZZZ

Answers

1 and 2/5 ft after you multiply both length and width.

Write an equation where the variable is divided by a number, and a solution is -4/5

Answers

Answer:

x/-5

Step-by-step explanation:

Just divide by 5 and the denominator will be 5 meaning x would have to be 4.

Make sure your 5 is negative so the whole equation also ends up negative. x/-5=-4/5

PLEASE FAST ANSWER ME PLEASEEE
During the election for class president, 30% of the students voted for Ruby, and 70% of the students voted for Ellie. 500 students voted in total. How many MORE students voted for Ellie than for Ruby?

Answers

Answer:

150,350

Step-by-step explanation:

FOR RUBY:

500x30/100=150

FOR ELLIE:

500x70/100=350

Answer:

200.

Step-by-step explanation:

100%->500

1%->500÷100=5

Ruby->30%->30×5=150

Ellie->70%->70×5=350

diff->350-150=200(ans)

brainliest for ripromano please anybody else dont answer

Answers

Answer:

ahhh you didnt have to !!

Step-by-step explanation:

thank you so much, ill do the same!! check my page for a question w free brainliest

8. Solve for x. Round to the nearest tenth. (4pts)
55°
7
x=

Answers

Answer: I think 2

Step-by-step explanation:

Because

What is the value of x in the solution of the following system of equations: 3x + 2y = 12 and 5x - 2y = 4 ?

Answers

Answer:B

Step-by-step explanation:

Answer: x=  4  −  2 y /3

Step-by-step explanation:

do y’all know this one?

Answers

Step-by-step explanation:

For first triangle,

sin 45 = 3 / d

1 / root 2 = 3 / d

d = 3 root 2

For second triangle,

tan 60 = 7 / a

root 3 = 7 / a

a = 7 / root 3

What is the graph of the solution set of b - 42 -1?

Answers

Answer:Your answer would be F

Step-by-step explanation:

A rectangular-shaped parking lot is to have a perimeter of 458 yards. If the width must be 51 yards because of a building code, what will the length need to be?​

Answers

Answer:

178 yards

Step-by-step explanation:

458-(51 times 2)

356/2

178

what is the distance between (-1, 2) and (5, -2)on a graph put into a decimal form. ​

Answers

Given:

The two points are (-1,2) and (5,-2).

To find:

The distance between the given points.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the distance formula, the distance between the given points is

[tex]d=\sqrt{(5-(-1))^2+(-2-2)^2}[/tex]

[tex]d=\sqrt{(5+1)^2+(-4)^2}[/tex]

[tex]d=\sqrt{(6)^2+16}[/tex]

[tex]d=\sqrt{36+16}[/tex]

On further simplification, we get

[tex]d=\sqrt{52}[/tex]

[tex]d=7.2111[/tex]

[tex]d\approx 7.21[/tex]

Therefore, the the distance between the given points is about 7.21 units.

The sale price of a swing set is $90. What was the original price? (2 points)
SALE
75% OFF!
HELPPP!

Answers

Answer:

157.05

Step-by-step explanation:

What is the value of each expression?
7/8 + 4/8

Answers

7/8 + 4/8 = 11/8 = 1 3/8 = 1.375

Answer:

7/8 + 4/8 = 1 3/8.

Step-by-step explanation:

In words the answer is 1 and 3/8.

The sum of the heights of two brothers is 10 feet, 4 inches. The difference between their heights is 10 inches. How tall is the shorter brother? (12 inches = 1 foot; Remember to convert into inches first and then into feet at the end.) Let the height of the taller brother = x and the height of the shorter brother = y.
4.75 ft
4.5 ft
4 ft
4.58 ft

Answers

Answer:

4.5 ft

Step-by-step explanation:

Let us assume the height of the taller brother be x

And, the height of the shorter brother be y

Now according to the question

x + y = 10.33

x - y = 0.833

Now solve these two equations

2x = 11.666

x = 5.833

y = 10.33 - 5.83

= 4.5 ft

Please Help- Worth 15 Points (NO SCAM ANSWERS)

JOBS Mr. Kimball sells computer software. He earns a base salary of $41,250 and 8% commission on his sales. Write an equation to represent Mr. Kimball’s total pay p after selling d dollars of software.

Answers

Answer:

Its actually only 8 points but its ok.

Hope this helps!

Step-by-step explanation:

P=0.08d+41,250

Tell me if I got it wrong plz!!

Help, I have to turn this in soon

Answers

Answer:

b

Step-by-step explanation:

i got a 100 on it yesterdy

Answer:

A - Congruent segments

B - Perpendicular bisector

C - Angle Bisector

D - Congruent angles

someone pls help:>>

Answers

Answer:  n^2 + 1

Explanation:

Imagine that you cross out the top-most square for each step of each diagram. The squares not crossed out have the following counts: 1, 4, 9

This is the sequence of perfect squares. So the rule will have us take the number n, and square it to get n^2. Then we add on the squares we crossed out earlier. This explains the "plus 1" at the end to get the answer of n^2+1

Answer:

[tex] {n}^{2} + 1 \\ \: respresents \: the \: following \: \\ function[/tex]

i hope it helped.

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