a positive real number is 4 less than anther of the sum of the squares of the two numbers is 72 then find the numbers.​

Answers

Answer 1

Answer:

3.657 and 7.657 to the nearest thousandth.

Step-by-step explanation:

x - y = 4

x^2 + y^2 = 72

From equation 1

x = y + 4 so

(y + 4)^2 + y^2 = 72

y^2 + 8y + 16 + y^2 - 72 = 0

2y^2 + 8y - 56 = 0

y^2 + 4y - 28 = 0

y = 3.657.

so x = 7.657.


Related Questions

Stefan's family raises honey bees and sells the honey at the farmers' market. To get ready for market day, Stefan fills 24 equal sized jars with honey. He brings a total of 16 cups of honey to sell at the farmers' market.

Answers

Answer:

Have you ever wondered how a tiny little insect like a bee could ever fill a jar of honey? If it were just down to one bee it would be a mighty task but the work is shared by many thousands of bees and is a great example of what can be achieved by a co-ordinated effort. Think of it in terms of humans creating something like a pyramid.

A jar of honey weighs 454 grammes and a bee can carry about 0.04 grammes of nectar. But nectar is only about 40% sugar and honey needs to be about 80% sugar so the bee actually only carries about 0.02 grammes of honey on each trip.

Step-by-step explanation:

Simplify (−4.5)(−6)(5.4).
i need the answer pls

Answers

Answer:

145.8

Step-by-step explanation:

−4.5 x −6 x 5.4

Answer:

the answer is 145.8

Step-by-step explanation:

sorry if I did it wrong

Whats the two answers? ( Branliest )

Answers

Answer:

B and C

Step-by-step explanation:

Factors:

(A) x + y, no product(B) 5(x + y), two factors(C) (x - y)(x + y), two factors(D) xyz, three factors

#A

x+y

No

#B

5(x+y)5x+5y

Yes

#C

(x-y)(x+y)

Yes

#D

xyz

No

Find the y -intercept of the line with equation y=4x+6

Answers

Answer: The y-intercept of this equation is 6.

Explanation: When doing slope intercept form, the formula is y = mx + b. "M" is slope, and "B" is y-intercept. In this equation, 4 is the slope and 6 is the y-intercept.

What is the result of the division?
2x^3-5x*4
—————-
x-3

Answers

Answer:

2x² + 6x + 13 remainder 43

Step-by-step explanation:

Long division:

2x³ - 5x + 4 ÷ x - 3 = 2x² + 6x + 13 rem 43

2x³ - 6x²

       6x² - 5x

      6x² - 18x

                13x + 4

                13x - 39

                        43

Find the area of this rectangle.
Write your answers in simplest form.

Answers

Answer:

7 1/7 square mm

Step-by-step explanation:

Convert the two mixed numbers into improper fractions ( 3 1/3= 10/3 and 2 1/7= 15/7) and multiply, which gives the answer as 50/7, and then, convert them into mixed numbers again, which is 7 1/7 square mm.

. . .Factor 2x2 + x - 1

Answers

Answer:

(2−1)(+1)

Step-by-step explanation:

22+−12x^{2}+{\color{#c92786}{x}}-12x2+x−122+2−−1

Solve for a side in right angles picture added

Answers

I think it’s 160
Because 90+70=160

Answer:

AC=5

in a basic right triangle the small side is always one shorter than the big side which is always one smaller than the hypotenuse.

Sonya buys a baseball jersey for her brother on sale for 20% off. If the price she paid was $6 lower than the regular price, what was the original price of the jersey?

Answers

Answer:

$30

Step-by-step explanation:

20%=6

5x20%=100%

so

5x6=30

Hope this helps! Thanks.


help me asap!!!!!!!!

Answers

Answer:

the last option

Step-by-step explanation:

What is a pair of alternate interior angles?

Answers

Answer:

D. ∠2 and ∠8

Step-by-step explanation:

common sense lol

a line passes through the point of (4,2) and has a slope of -5/4

Answers

Answer:

y = -5/4x + 7

Step-by-step explanation:

y = -5/4x + b

2 = -5/4(4) + b

2 = -5 + b

7 = b

solve pls brainliest

Answers

Answer:

a) 52

B)6

Step-by-step explanation:

B) -5+11=6

It's not that hard, you shall know negative signs rules

How would I show my work for this?

Answers

Answer:

4x4 = 16  √16=4

Step-by-step explanation:

Answer:

sqrt (16)

= sqrt (4×4)

= 4

Step-by-step explanation:

brainliest plz

Okay very important question.
When your doing pemdas , will you get a different answer then just calculating the problem on a calculator.

For example,

11x10-12 divided by 3

Calculated is 106

What’s the answer using pemdas?

Answers

Answer: It depends on how you put it in the calculator

Step-by-step explanation:

11x10=110

110-12=98

93/3 = 32.66

if A=(-2,-4) and B=(-8, 4) what is the length of AB? ​

Answers

the length of AB is 10 cm..........

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Length of AB is equal to :

[tex]10 \: \: units[/tex]

Refer to the attachment for solution ~

A penguin walks 10 feet in 6 seconds at this speed how far does the penguin walk in 45 seconds

Answers

Answer: 75 ft

Step-by-step explanation:

45x10 = 450

450/6=75

Answer:

75 feet

Step-by-step explanation:

10 divided by six is 3/2, in 1 second, a penguin walks 3/2 feet. With this logic, in 45 seconds a penguin walks 75 feet since 45 times 3/2 is 75.

Select the simplification that accurately explains the following statement: \sqrt[4]{2}=2\frac{1}{4}

Answers

The answer is option B.

Because

[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]

Determine the axis of symmetry of a parabola whose graph is given below. Give your answer in the form X equals H

Answers

Answer:

x = -3

Step-by-step explanation:

The axis of symmetry of a parabola, in the form of x = h  is x = -3, where the value of h is -3.

A surface curve formed by the intersection of a cone and a plane parallel to a straight line is called as parabola.

An imaginary straight line that divides a shape into two identical halves is called as axis of symmetry.

In the given figure, the graph intersects the x-axis at x = -3.

So, the axis of symmetry of a parabola in the form of x is -3.

Thus, the value of h is -3.

Learn more about parabola here:

https://brainly.com/question/32449104

#SPJ4

please help me with this sum​

Answers

its upsidedown what are you doing

Jennifer babysat for 5 hours and earned
$52.50. What is her hourly rate of pay?

Answers

Answer:

$10.50

Step-by-step explanation:

Answer:

$10.50

Step-by-step explanation:

Just do 52.50 divided by 5 to find the amount she is paid per hour, and that’s 10.5. Meaning she gets paid $10.50 per hour.

You deposit 572.30 for an account that pays 4.5% interest how much interest you earn after six years

Answers

Answer:

$154.52

Step-by-step explanation:

First, you need to know the formula for this type of question.

The formula is I = Prt. These variables are: I = Interest, P = Principle investment, r = Rate, and t = Time.

So, your equation is I = 572.30(0.045)(6), where you have to find "I".

If you multiply 0.045 and 6, you get 0.27. Then, you multiply 0.27 and 572.30, which is 154.521.

The interest you earn will be $154.521. You can round the thousandths digit based on how you have been taught to do, but I will round the answer to 154.52.

Good luck!

I WILL MARK BRAINLIST ASAP

Andre opened a bank account. He deposited $135 each month for 5 months. His bank charged him $5 each month to use the account.

How much money is in Andre's account after 5 months?

A.
$675

B.
$650

C.
$115

D.
$130

Answers

Answer:

B. $650

Step-by-step explanation:

Every month Andre is losing $5 each month and he adds on $135 each month. This can be expressed as:

($135 × 5) - ($5 × 5)

= $675 - $25

= $650

B. $650 ( Explanation: $135 x 5(months) = 675 - 25= 650
Note. $ 25 represents the total monthly charge for each month for 5 months (5x5=25)

Prove that the difference between 9th square number and 5th square number is a multiple of 8?​

Answers

Answer:

Step-by-step explanation:

9th square number = 81

5th square number=25

81-25=56

56 is a multiple of 8 as 8 x 7=56

Help help please math math please

Answers

Answer:

n = 6

Step-by-step explanation:

6÷4 = 9÷n

6n = 9*4

6n = 36

n = 6

-2,-6,-18,-54....n equals 11
What is the Geometric series!
Formula:Sn=a1(1-r^n) over(1-r)
PLEASE ANSWER I WILL GIVE U BRANLIEST ANSWER if correct¡!!¡

Answers

9514 1404 393

Answer:

  -177146

Step-by-step explanation:

The given formula is useful. The first term is a1 = -2. The common ratio is r = -6/-2 = 3. For n = 11 terms, the sum is ...

  S11 = -2(1 -3^11)/(1 -3) = -2(-177146/-2) = -177146

The sum of 11 terms of the series is -177146.

solve pls brainliest

Answers

5 and 7/10, 5.749, 5.78, and then 113/20

A rectangle prism has a volume of 72 cubic ft.³ it has a height of 4 feet and the width of 3 feet what is the length and feet of the prism?

Answers

Answer:

volume = height × length ×width

volume =18×14×2

volume =504ft³

Step-by-step explanation:

answer 504ft3

y-3(2y-7)=76 quick and with steps

Answers

Answer:

y = -11.

Step-by-step explanation:

Y-3(2y-7)=76

Y-6y+21=76

-5y+21=76

-5y=55

y=-11.

Answer:

Step-by-step explanation:

⇔y-6y+21=76⇔-5y+21=76⇔-5y = 76 -21⇔-5y=55 ⇔y= 55:(-5) ⇔y= -11

Patty is ordering vests for her scout troop to wear in the Veterans Day parade. She ordered 12 vests from the Festive Features clothing shop. Since this was a bulk order, Festive Features reduced the price of each vest by $6. The total came to $132. Which equation can you use to find the amount, v, Festive Features normally charges for a vest?

Answers

Algebraic equations are equations that have coefficients and unknown variables in them.

The equation that you can use to find the amount "v" Festive features normally charges for a vest is: 12(v - 6) = 132

The current cost per vest was v - $6

Where v = Initial cost of the vest

The total cost of 12 vests after price reduction was:

$132.

Hence, our equation is given as:

$132 = 12(v - $6)

12(v - 6) = 132

$132 = 12v - 72

Add 72 to both sides

$132 + 72 = 12V

204 = 12v

v = 204/12

v = $17

Thus: The amount  v, Festive Features normally charges for a vest is $17

Therefore, the equation to find the amount Festive Features normally charges for a vest is 12(v - 6) = 132

To learn more, visit the link below:

https://brainly.com/question/24993449

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