The difference between two integers is 6. The sum of their sqaures is a minimum. Find the 2 integers.
Answer with explanation gets brainliest.​

Answers

Answer 1

Answer:

3 and - 3

Step-by-step explanation:

Let the numbers are x and y.

Their difference is:

x - y = 6

Sum of their squares:

S = x² + y²

Substitute y = x - 6 into sum equation:

S = x² + (x - 6)² =      x² + x² - 12x + 36 =      2x² - 12x + 36

We observe this is a quadratic expression. It has minimum value at vertex, which is when x = -b/2a or:

x = - (-12/2*2) = 3

Then the value of y is:

y = x - 6 = 3 - 6 = - 3


Related Questions

STATION 6 ! 100 POINTS !!

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Answer:

svb the actual cost of a few minutes ago to

It’s blurry… sorry, hope your having a great day tho

I need help with these two questions!! HELP

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Answer:

AB and GF are skew

DH and BF are II

EF and HG are skew

ABCD and EFGH are II

Step-by-step explanation:

II is parralell or side by side.

Skew would be like intercepting with one another.

Have an awesome day! :D

Find the pressure if a force of 750 N acts on an area of 12 cm3

Answers

The answer is P=F/A I had a quiz on these


Convert 27^ 2/3 into radical form.

Answers

Answer:

243

Step-by-step explanation:

Simplify

27^2 / 3

729 divided by 3

= 243

Which is the simplified form of r Superscript negative 7 Baseline + s Superscript negative 12?
StartFraction 1 Over r Superscript 7 Baseline s Superscript 12 EndFraction
Negative r Superscript 7 Baseline minus s Superscript 12
StartFraction r Superscript 7 Over s Superscript 12 EndFraction
StartFraction 1 Over r Superscript 7 Baseline EndFraction + StartFraction 1 Over s Superscript 12 EndFraction

Answers

I can’t even read that but the answer is 3 I think

Answer:

im pretty sure its D

Step-by-step explanation:

find the scale figure from A to B.
scale figure A= 16 cm,8cm,20 cm
scale figure B=12cm,6cm,15cm

Answers

Answer:

The scale factor is 4/3 or 1.333...

Step-by-step explanation:

We're trying to find how can A go to B

Example: 16 --> 12

16 Divided by 12 = 4/3

[tex]\frac{16}{1}[/tex]÷[tex]\frac{12}{1} = \frac{16}{1} * \frac{1}{12} = \frac{16}{12} = \frac{4}{3}[/tex]

This will work with other numbers too.

Car rental company A charges $15 to rent a car plus $2.30 per hour. Car rental company b charges $22 to rent a car plus $1.90 per hour. When would the cost of renting a car from company A be the same as renting a car from company B?

Answers

Answer: The cost of renting a car from Company A be the same as renting a car from company B in 17.5 miles

Step-by-step explanation:

y=2.30x +15

y=1.90x +22

0.4x +7 Divide 0.4 from both sides

x=17.5

y=2.30(17.5)+15

y=40.25+15

y=40.25-15

y=25.25

if a sprinkler waters 1/14 of a lawn in 1/2 an hour, how much time it will take to water the entire lawn

Answers

1/14 in 30 mins
30 mins x 14=420 mins
420 mins in hours =7 hours

June who is 45 years old, is three times older than her son, James. James is five years older than his sister Rachel. How old is Rachel?

Answers

Answer:

rachel is 10

Step-by-step explanation:

45/3=15

15-5=10

Answer : 10

Explanation : To find James you take 45 and divide by 3. To find Rachel you take 15-5=10

Pls help thank you for those who put hard work

Answers

Step-by-step explanation:

given,

a = 18

given expression,

a + 8

a/q

18 + 8 = 26

therefore, correct answer is 26.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Solve (x-1)(x+5)=0 using zero product property

Answers

the answer is 1 im pretty sure

What is the square of the sum of five and a number diminished by 6?

Answers

Step-by-step explanation:

A number diminished by 6:

n - 6

Sum of 5 and a number diminished by 6:

5 + n - 6 = n - 1

The square of the sum of five and a number diminished by 6:

(n - 1)² =n² - 2n + 1

please help i'm so confused
P: It's sunny.
Q: It's snowing.
R: It's not raining
Translate the following symbols: ~ RAQ
O If it's raining, then it's snowing.
O If it's not raining, then it's sunny.
O It's raining and it's snowing
O It's raining or it's snowing

Answers

Answer:

if it's bot raining, then it's sunny

can someone please help me with this

Answers

Answer:

y-intercept =3

x-intercept =3/2

slope =-2

Step-by-step explanation:

y=-2x+3

0=-2x+3

2x=3

x=3/2

James deposited $575 into a bank account that earned 5.5% simple interest each year. No money was deposited into or withdrawn from the account.

How much money was in the account after ​ ​ 212 ​ ​ years?

Round your answer to the nearest cent.

Answers

Answer:

Answer:it's 654.06I just did the test

Step-by-step explanation:

Find the perimeter of this figure. Enter your answer in the box.
(-7 , 3) (8 , 3) (-7 , -1) (2 , -1) (2 , -8) (8 , -8)

Answers

Answer:

56 total units

Step-by-step explanation:

Here is what the plane would look like if the figure and points were drawn.

Answer:

52 units

Step-by-step explanation:

Plot the points and connect.

Note. If you connect the points in the given order you will end up with a weird figure hence we connect as pictured.

Horizontal sides sum to:

2*(8  - (-7)) = 2*15 = 30

Vertical sides sum to:

2*(8  - (-3)) = 2*11 = 22

The perimeter is:

30 + 22 = 52

Which is  greater 5.200 or 5.002.

Answers

5.2
5.200 can be written as 5.2
5.2 is greater than 5.002
When we round 5.002 to 1dp we get 5.0
5.0<5.2
Therefore 5.2 is greater
5.2 is greater because the 2 on 5.200 is in the hundred and lace and the other is in the one play so would you want 5 thousand 200 dollars or 5,000 dollars and 2 cent

Find the distance between the pair of points.

E(-6, 4) and F(5, 4)


The distance between the pair of points is _____ units?​

Answers

Answer:

11 units

Step-by-step explanation:

Just trust me!

Expand & simplify
(4x + 7)(x – 5)

Answers

Answer:

(4^3−13−35)

Step-by-step explanation:

this ans

The answer is 4x^2-13x-35
I used distributive prop.

Help homework due soon!!!

Solving a word problem using a system of linear equations:

Jose the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there
were 4 clients who did Plan A and 8 who did Plan B. On Tuesday there were 2 clients who did Plan A and 3 who did Plan B. Jose trained his Monday clients for a
total of 9 hours and his Tuesday clients for a total of 4 hours. How long does each of the workout plans last?

Answers

The plans are illustrations of system of linear equations

Plan A lasts for 1 and a half hour, while plan B lasts for 1/3 hour

Let A represent plan A, and B represents plan B

On Monday, we have:

4A + 8B = 9

On Tuesday, we have:

2A + 3B = 4

Multiply the second equation by 2

2 * (2A + 3B = 4)

4A + 6B = 8

Subtract this equation from the first equation.

So, we have:

4A - 4A + 8B - 6B = 9 - 8

3B = 1

Divide both sides by 3

[tex]\mathbf{B = \frac 13}[/tex]

Substitute 1/3 for B in 2A + 3B = 4

[tex]\mathbf{2A + 3 \times \frac 13 = 4}[/tex]

2A + 1 = 4

Subtract 1 from both sides

2A = 3

Divide both sides by 2

[tex]\mathbf{A = 1\frac 12}[/tex]

This means that:

Plan A lasts for 1 and a half hour, while plan B lasts for 1/3 hour

Read more about linear equations at:

https://brainly.com/question/11897796

What is the missing constant term in the perfect square that starts with x2 + 18x

Answers

Answer:

81

Step-by-step explanation:

Take half of the x-term coefficient, and square it.

Half of 18 is 9.

9² = 81

Answer: 81

I just need someone to explain this to me.

Answers

Answer:

23.6

Step-by-step explanation:

Answer:

23.6 is the correct answer

X+3
=
ov*-
- (3)
ox-()*+1
O
+1
O
or-()***
X-1
+3
oy- ()
+1
-3

Answers

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

The Correct choice is ~

[tex]\boxed{y = \bigg({\dfrac{1}{2} \bigg) }^{x - 3} + 1}[/tex]

[tex]\\ \sf\longmapsto y=\left(\dfrac{1}{2}\right)^{x-3}+1[/tex]

Graph attached

3. A cubic polynomial with rational coefficients has the roots 6+ Fo and. Find one additionalroot.
0-6-v6
06-16
0-6+ /6
06- 6

Answers

Answer:06-16

Step-by-step explanation:

Jared has four pieces of rope that are each 12.75 feet long. How many feet of rope does he have in total?

51 feet
50.8 feet
16.75 feet
12.79 feet

Answer=51 Feet

Answers

I am pretty sure the answer is-51 Feet

Raina's penny bank is  1/4  full. After she adds  360  pennies, it is  5/8  full. How many pennies can Raina's bank hold? ​

Answers

Answer:

960

Step-by-step explanation:

We start with the variable "x". Let's call "x" Raina's penny bank.

After adding 360 pennies, at the end, she has 5/8x, or 5/8.

So we start with

(1/4)x + 360 = 5/8x

Let's subtract 1/4x from both sides

360 = 5/8x - 1/4x

Remember, we need to use common denominators to subtract, so 1/4 becomes 2/8

360 = 5/8x - 2/8x

Now we simplify to get

360=3/8x

Multiply the reciprocal of 3/8 to both sides which is 8/3

360 * 8/3 = x

Answer is 960 pennies.

Therefore Raina's bank hold 960 pennies.

Answer:

we need to get the same number below to make it easier. so 1/4 will be equal to 2/8.

then she adds 360 pennies so it's 5/8 full.

therefore, the 360 pennies = 3/8 full

because 5/8 - 2/8 = 3/8.

now, we need to divide 360/3 so we can get how much pennies when it's 1/8 full.

360 pennies/3 = 120 pennies = 1/8 full.

now to get a full bank we just need to multiply 120 x 8 because 1/8 x 8 = 1 which means a full fraction.

120 pennies x 8 = 960 pennies.

Raina's bank can hold up to 960 pennies.

if f(x) = (3+x)/(x-3), what is f(a+2)​

Answers

Answer:

B

Step-by-step explanation:

To evaluate f(a + 2), substitute x = a + 2 into f(x), that is

f(a + 2) = [tex]\frac{3+a+2}{a+2-3}[/tex] = [tex]\frac{5+a}{a-1}[/tex]

angles of triangle sand explain how u got each question and answer pls ! ((:

Answers

Answer:

m∠1 = 41°

m∠2 = 85°

m∠3 = 95°

m∠4 = 85°

m∠5 = 36°

m∠6 = 49°

m∠7 = 96°

Step-by-step explanation:

Alright, so to start we have 2 quadrilaterals intersecting to form a triangle, which means that in the shapes with 4 angles, all angles will add up to 360°, while the triangle's angles will add up to 180°

Right off the bat, we can tell that ∠3 and ∠95° are going to be the same, because they're at a perpendicular intersection, which also means that ∠2 and ∠4 will be the same as well

Knowing the ∠3 = 95° means that ∠5 and ∠6 must add up to equal 85°, so that the whole of the triangle equals 180°

Considering that in the first quadrilateral we already have ∠90° and ∠144°, this means that ∠1 and ∠2 have to add up to 126°, to make an even 360° total

If ∠95° is supplementary to ∠2, this means ∠2 = 85°, and since ∠4 and ∠2 are the same, ∠4 also equals 85° - This leaves 41° left for ∠1, and now we can move on to the other quadrilateral

So since we know ∠4 = 85°, and we already have ∠38°, this means that ∠7 and the unmarked angle will add up to equal 237°, so that the entire shape has 360°

Since we know that ∠5 and ∠144° are supplementary, this means ∠5 is equal to 36°, which would make ∠6 = 39°

And lastly we have ∠7, which since ∠6 = 39° this means our unmarked supplementary angle must equal 141° - Now that means that ∠4 + ∠38° + ∠141° = 264° out of 360°, which leaves ∠7 to equal 96°

the acceleration in centimeters per second of a projectile is modeled by

Answers

Answer:

The Acceleration, In Centimeters Per Second Per Second, Of A Projectile Is Modeled By A (T) = 21" - 156 + 36, Where T Is Measured in seconds

-8 + x - 2 - 5x
Plssss

Answers

Answer:

-4x-10

Step-by-step explanation:

This is the answer if you are simplifying the expression.

Answer:

−  4    −  8

Step-by-step explanation:

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