The sum of the squares of two positive numbers is 73 and the difference of the squares of the numbers is 55. Find the numbers. If there
use the "or" button

Answers

Answer 1
x^2+y^2=73
x^2-y^2=55

x^2=73-y^2

73-y^2-y^2=55
-2y^2= -18 multiply both sides by -1
2y^2=18 divide both sides by 2
y^2=9
y= √9
y=3

x^2=73-9
x^2=64
x= √64
x=8

Check:
64+9=73
64-9=55

Good luck

Answer 2

The two numbers are 3 and 8.

What are squares of a number?

Square numbers are numbers that can be multiplied by themselves.

Given that, The sum of the squares of two positive numbers is 73 and the difference of the squares of the numbers is 55.

Let the numbers be x and y, then,

x²+y² = 73

x²-y² = 55

On solving, we get,

x² = 9

x = 3

Putting x = 3 in first equation, we get

3²+y² = 73

y² = 64

y = 8

Hence, the required numbers are 3 and 8.

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Related Questions

guys I, need help with this please help it is due today

Answers

4. .5 per ounce so 3.5 for 7 ounces
5. 7.5 degree every hour so 22.5 for 3 hours
6. 61 miles per hour so 305 for 5 hours

Help me :( I will give you Brainlist if you get it right!​

Answers

Answer:

I think C

Step-by-step explanation:

sorry if I'm wrong

D i answered this one on khan.

I need help with this question it would be nice if you could help

Answers

Answer:

v=433.33

Step-by-step explanation:

total cost and interest for a loan
Breanna
Espanol
To purchase $13,900 worth of lab equipment for her business, Amy made a down payment of $1900 and took out a business
loan for the rest. After 3 years of paying monthly payments of $365.07, she finally paid off the loan.

Answers

Answer:

The total cost was $ 15,042.52, and the interest percentage applied on the loan was 8.22%.

Step-by-step explanation:

Given that to purchase $ 13,900 worth of lab equipment for her business, Amy made a down payment of $ 1900 and took out a business loan for the rest, and after 3 years of paying monthly payments of $ 365.07, she finally paid off the loan to determine the total cost and interest applied on the loan, the following calculation must be made:

(365.07 x 12 x 3) + 1900 = Total cost

4,380.84 x 3 + 1900 = Total cost

13,142.52 + 1900 = Total cost

15,042.52 = Total cost

13900 = 100

15042.52 = X

15042.52 x 100/13900 = X

1,504,252 / 13,900 = X

108.22 = X

Therefore, the total cost was $ 15,042.52, and the interest percentage applied on the loan was 8.22%.

8. Which of the following is the only one that is formatted correctly?



Answers

The answer is B because the parenthesis is on the infinity

coyote, owl rabbit, field mouse, grass

What might cause this dramatic decline in the rabbit population?

A. An increase in the field mouse population.

B. A decrease in the owl population.

C. An increase in the amount of grass available.

D. A decrease in the coyote population.​

Answers

Answer:

°¶°Here the answer is B °¶°

Which system of equations has a solution of (-2,0,1)

Answers

The system of the equations that has a solution of (-2, 0, 1) will be x + y + z = -1, x + y + 2z = 0, and x + 2y + 3z = 1.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The system of the equations that has a solution of (-2, 0, 1) will be

Let the number of variables be x, y, and z.

Then we have

Then the first equation will be

x + y + z = -1

Then the second equation will be

x + y + 2z = 0

Then the third equation will be

x + 2y + 3z = 1

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A recipe calls for 2 1/2cups of flour to make 18 muffins. If someone needs to make 2 1/2 times the recipe, how much flour should the person use?
Enter the mixed number as your answer.
The person should use
(Simplify your answer.)
cups

Answers

Answer:

l''kkk 1/2 cups

Step-by-step explanation:

To make 45 muffins the amount of flour required will be 6.25.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a recipe calls for 2 1/2 cups of flour to make 18 muffins. If someone needs to make 2 1/2 times the recipe.

The amount of flour required will be calculated as:-

2 (1/2) flour ⇒ 18 muffins

2.5 flour ⇒ 18 muffins

2.5 x 2.5 flour ⇒ 2.5 x 18 muffins

6.25 flours ⇒ 45 muffins

Therefore, to make 45 muffins the amount of flour required will be 6.25.

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help me plssss


6 - BLANK = 5 AND 1/3

Answers

the answer would be 2/3

this is because 6 - 5 1/3=2/3

Please help I’ll mark you as brainliest if correct

Answers

Answer:

10.2

Step-by-step explanation:

Fiona wrote out the description of each step for her multiplication of the binomial and trinomial (2x – 3)(5x2 – 2x + 7).

Answers

Answer:

Step 2

Step-by-step explanation:

I'm not that sure but I think that its right

Answer:

B. Step 2

Step-by-step explanation:

ENDG

620 is invested in an account earning 5.5%interest APR, compounded quarterly. Write a function showing the value of the account after t years

Answers

Answer:

Y=620×((1+(0.055÷4))^(4t)

Step-by-step explanation:

Y=X ((1+(r/n))^(nt)

Y future value

X present value 620

R interest rate 0.055

N compound quarterly 4

T time

Find x. Assume that segments that appear tangent are tangent.

Answers

Answer:

24

Step-by-step explanation:

By tangent secant theorem:

[tex]25(25 + x) = {35}^{2} \\ 625 + 25x = 1,225 \\ 25x = 1225 - 625 \\ 25x = 600 \\ x = \frac{600}{25} \\ x = 24[/tex]

On test 7, Josue's score dropped back from 98 to 85. What is the percent decrease?

Answers

Answer:

13 %

I hope it's correct.

Step-by-step explanation:

initial marks (o) = 98

final marks (m) = 85

rate (r) = ?

Now,

r =

[tex] \frac{o - m}{o} \times 100percent[/tex]

= ((98-85)/98)x100%

=13.26%

How many, and what type of solutions do the follow
quadratic equations have?
2x2 – 3x – 7 = 36

Answers

Answer:

2 real solutions

Step-by-step explanation:

Determinant of a quadratic equation: [tex]b^2-4ac=(-3)^2-4\times2\times(-7-36)=353.[/tex]

Since the determinant is larger than 0, it has 2 real solutions.

I need help ASAP?!!!!!!

Answers

Answer:

x = 2

Step-by-step explanation:

5x - 6 = 4

add 6 to each side

5x = 10

divide each side by 5

x = 2

Sample Size Sample average Sample SD
Diagnosed early bird 67 1.23 0.93
Diagnosed night owl 59 2.10 0.99

Analyze the data using a theory-based approach (use the Theory-based Inference applet) to determine whether early birds differ from night owls with respect to average nightmare frequency. The data are not strongly skewed within each group.

Express the null and alternative hypotheses for testing.

a. Null: The population average VDAS score for early birds is less than the population average VDAS score for night owls.
Alt: The population average VDAS score for early birds is greater than the population average VDAS score for night owls.

b. Null: The population average VDAS score for early birds is the same as the population average VDAS score for night owls.
Alt: The population average VDAS scores are different for the two groups.

c. Null: The population average VDAS scores are different for the two groups.
Alt: The population average VDAS score for early birds is the same as the population average VDAS score for night owls.

d. Null: The population average VDAS score for early birds is greater than the population average VDAS score for night owls.
Alt: The population average VDAS score for early birds is less than the population average VDAS score for night owls.

Answers

Answer:

b. Null: The population average VDAS score for early birds is the same as the population average VDAS score for night owls.

Alt: The population average VDAS scores are different for the two groups.

Step-by-step explanation:

Given

The above data

Required

Determine the null and alternate hypothesis

When looking out for the null hypothesis, only options with equality statements or equal sign should be selected as the null hypothesis.

i.e. statements like "equal to", "the same as", etc.

The alternate hypothesis will then contain inequalities or inequality statements

From the list of options, only option (b) is correct.

Ms. Carey is planning to host a neighborhood picnic. To make sure she had enough ingredients, she was making a table of possible combinations of dried fruit to peanuts for her terrific trail mix. The table shows the original recipe’s ratio of dried fruit to peanuts. What numbers are missing in the table?



Question 5 options:

5 and 48


21 and 35


6 and 10


21 and 62

Answers

Answer:

5 and 48

Step-by-step explanation:

27:45

Simplify the ratio

3:5

The first one must be 5, and option 1 (5 and 48) is the only one with 5.

Phil ate 2/3 of a Pizza. Erica eight 4/9 of the same sized pizza. Who ate more pizza? Explain

Answers

Phil did. 2/3 is greater than 4/9

Answer:

Phil ate more

Step-by-step explanation:

The LCD of both fractions is 9. Thus,

Phil ate 6/9 of a pizza while

Erica only ate 4/9 of the same sized pizza

Ms. Chang has 16 students in her class. She wants to send 3 of her students to pick up books for the class. How many combinations of students can she choose?

Answers

16-3=13 answer combinations of student

the perimeter of a rectangle is 36cm.If it is length is 10 cm find its breadth​

Answers

Answer:

The perimeter of a rectangle is 36 cm, its breadth is 8 cm

Step-by-step explanation:

For a given rectangle

Perimeter (P) = 36 cm

length (L) = 10 cm

Now,

Perimeter (P) = 2 × (length + breadth)

P = 2 × (l + b)

36 = 2 × (10 + b)

36 = 20 + 2b

2b = 36 - 20

2b = 16

b = 16 ÷ 2

b = 8 cm

Thus, The perimeter of a rectangle is 36 cm, its breadth is 8 cm

-TheUnknownScientist

Question:-

The perimeter of a rectangle is 36 cm. If its length is 10 cm, find its breadth.

Answer:-

Given:-

[tex] \bullet [/tex] Perimeter (P) of a rectangle is 36 cm.

[tex] \bullet [/tex] Length (L) of a rectangle is 10 cm.

To Find:-

Breadth (B) of a rectangle.

Solution:-

We know,

P = 2(L + B)

So,

36 = 2(10 + B)

36 = 20 + 2B

36 - 20 = 2B

16 = 2B

B = 16/2 = 8 cm.

Breadth (B) of a rectangle is 8 cm. [Answer]

Determine the period of the function y = Negative 2 sine (StartFraction pi Over 2 EndFraction) x.
a.
2
c.
-2
b.
3.14
d.
4

Answers

Answer: D. 4

Step-by-step explanation:

0.486 Plus what equals 1.04

Answers

Answer:

0.554

Step-by-step explanation:

1.04-.486=0.554

You bought some grapes at a farm stand. You paid $2.48 per pound. The pounds are (3.25). What was the total amount that you paid for the grapes?

Answers

Answer:

You paid $8.06

Step-by-step explanation:

3.25 pounds times $2.48 per pound is 8.06.

Can I have brainliest pls :D

Hope this helps

Jadan has a drawer of different colored t-shirts. He has 4 white t-shirts, 5 black t-shirts, 3 red t-shirts and 2 blue t-shirts. He is going out of town and is in need of 2 t-shirts. What is the probability that he will randomly choose a white t-shirt without replacement and then choose a blue t-shirt?

Answers

Answer:

25%

Step-by-step explanation:

a fair dice is thrown once write down the probability of getting a three​

Answers

Step-by-step explanation:

There are 6 faces in a die 3 is an even no.

So, probability of getting 3 is

3/6=1/2 Answer

hope it helps...

You construct a picture frame with a diagonal piece attached to the back for support, as shown below. Can you tell from the dimensions whether the corners of the frame are right angles?​

Answers

222Answer:

Step-by-step explanation:

As a given dimension of the rectangle frame satisfied the Pythagoras theorem, so the frame consists of right angles.

What is a rectangle?

The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.

Here,
Constructed a picture frame with a diagonal piece attached to the back for support, as shown.
To check from the dimensions whether the corners of the frame are right angles, so from observation, the figure is of a rectangle, It must satisfy the Pythagoras theorem.
Diagonal = 39
Diagonal = √[15² + 36²]
Diagonal = √1521
DIagonal = 39

Thus, as a given dimension of the rectangle frame satisfied the Pythagoras theorem, so the frame consists of right angles.

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I have 48 candys for 50cents each, how much total will I have after I sell all 48 candies?

Answers

Answer:

the answer is 2400 cents

Step-by-step explanation:

if you have 48 candies and each cost 50 cents so u meltiply 48 with 50. so if u mutiply them u get 2400cents, but if u want them in dollar then 1 dollar is 100 cent so if 1 dollar = 100 cent

                   ?        = 2400 cent

you criss -cross them so when u do 2400 multiplyed by 1 is 2400 and 100 multiplyed by ? is 100?  

so your going to get this

2400 = 100?

so u divide both sides by 100 because u want "?" alone. so when u do 100 will vanish because you divided both sides with 100

so it will look something like this

2400/100 = ?

when u divide 2400 with 100 u get 24.

what does that mean? it mean 2400 cents are 24 dollars

do you get it?

How do you solve this

Answers

use sine law. x = 16.3cm

Step-by-step explanation:

Since triangle angles add up to 180 deg

angle F = 180 -87 -40 = 53

side EF/ sin (angle G) = side EG / sin (angle F )

EF / sin(87) = 13 / sin(53)

EF = 13/sin(53) × sin(87)

EF = 16.3cm

PLEASE HELP!!!!!!!!!!!!

Answers

Answer:

I didnt get what the photo shows....

Step-by-step explanation:

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