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

plz answer this question if you know it

Answers

Answer:

Step-by-step explanation:

You're required to basically scale the figure down. Angles will remain the same, horizontal lines will remain horizontal, but lengths will be 1/3 of the original. In particular the length DC will be only 1 square, bringing C' only one to the right of D. The distance DB will also shrink from 6 to two squares, below D. Finally, the point A' will be on the line AD, on the horizontal containing B'.

y= -8/9 (x+1)+6
convert to standard form

Answers

Answer:

mm

kl l

Step-by-step explanation:

Adding & Subtracting Decimals
Add the decimals using the table.
46.9 + 14.74
+

Answers

Answer:

19.43

Step-by-step explanation:

This is a trick for you.

Make the numbers to become whole numbers(1474+469)

After adding the whole numbers,the decimal point were 2 so,move 2jumps from the right to the left which will give you 19.43 as your answer.

Given the following graph what is the slope?

Answers

Answer:

slope = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 1) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

m = [tex]\frac{2-1}{0-(-4)}[/tex] = [tex]\frac{1}{0+4}[/tex] = [tex]\frac{1}{4}[/tex]

HELP HELP!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

You would multiply 25 x 6 and then add 70. So the answer is 220

What are the slope and the y-intercept of the linear function that is represented by the graph?

Answers

Answer:

Slope = -3/4

Y-intercept = (0, 3)

Step-by-step explanation:

Rise/Run

-3 Rise and 4 Run

Meets y-axis at y=3. x=0, so (0, 3).

Answer:

y intercept is 3 and the slope is -3/4

Step-by-step explanation:

the line hits the y axis at point 3, and the slope is the rise over run so it is down three and right 4 so -3/4

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

I need help plz help me I am not good at math HELP

Answers

Answer:

600 boys

800 girls

Step-by-step explanation:

Ratio is 3:4

let total number of boys be x

3/4=x/1400-x

4x=3(1400-x)

4x=4200-3x

7x=4200

x=600

600 boys

1400-600 = 800 girls

it would be 800 girls

Find the lateral surface area and total surface area of each figure. Only 12 and 13

Answers

Answer: 55

Solution: 1x 5



Answer accended: 55

Cooper earned $214.50 at his job when he worked for 13 hours. How much money did he earn each hour?

Answers

Answer:

$16.50

Step-by-step explanation:

Which situation can be represented by this inequality?

135 ≤ 10r + 15

Question 6 options:

A-Hugo has 10 songs in his music player. He will add 15 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at most 135 songs?


B-Hugo has 10 songs in his music player. He will add 15 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at least 135 songs?


C-Hugo has 15 songs in his music player. He will add 10 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at most 135 songs?


D-Hugo has 15 songs in his music player. He will add 10 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at least 135 songs?

Answers

The true option is: (d) Hugo has 15 songs in his music player. He will add 10 songs every month. Hugo collects songs for r months. For what values of r will Hugo have at least 135 songs?

The inequality is given as:

[tex]\mathbf{135 \le 10r + 15}[/tex]

Rewrite as:

[tex]\mathbf{10r + 15\ge 135 }[/tex]

From the options, we can see that the inequality represents songs in a music player.

Linear inequalities can be represented as:

[tex]\mathbf{mx + b \ge y}[/tex]

Where:

m represents the rate i.e. 10

b represents the y-intercept or base i.e. 15

>= represents at least

So, the inequality can be interpreted as:

10 songs are added every monthThe base number of songs is 15He wants to have at least 135 songs

Hence, the true option is (d)

Read more about linear inequalities at:

https://brainly.com/question/11897796

Help please! I don’t understand

Answers

Answer:

one real solutions

Step-by-step explanation:

A 20-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 6 feet from the base of the building. How high up the wall does the ladder reach?

Answers

Answer:

19.1 feet

Step-by-step explanation:

This forms a right triangle

use the pythagorean theorem

a^2 + b^2 = c^2

a^2 + 6^2 = 20^2

a^2 + 36 = 400

a^2 = 364

a = 19.0787840283

Rounded

19.1 feet

3/10y - 2/5 i need to find the coefficient and i dont know how

Answers

[tex] \frac{3}{10y} - \frac{2}{5} = \frac{3 - 4y}{10y} [/tex]

Mrs. Rashad Is baking 3 ples, She needs 1 /6 cups of strawberries for each ple. How many cups of strawberries does she need in all?

Answers

Answer:

0.5cups / [tex]\frac{1}{2}[/tex] a cup

Step-by-step explanation:

Geometry- Copy and complete the statement.​

Answers

Answer:

X+y over y

Step-by-step explanation:

X+y over y

Hope it helps

Suppose the population of a town is 100,000 in 2014. The population increases at a rate of 4.5 percent every year. What will the population of the town be in 2020? Round your answer to the nearest whole number.

Answers

Answer:

127,000 people by 2020

Step-by-step explanation:

4.5% per year

We have 6 years since 2020-2014=6 years

4.5 • 6 = 27% of 100,000 = 27,000

To find our total population, it would be 100,000+27,000=127,000 people would live there in 2020

This is assuming the birth rate is consistent

Brainliest please :)

-8(-6x+w-4) distributive property

Answers

Answer:

48x-8w+32

Step-by-step explanation:

Multiply -8 to every factor in the equation

(-8)(-6x) +(-8)w (-8)(-4)

48x -8w +32

Hope this helps :)

23 students are making smiley faces from macaroni noodles. The teacher got a box of macaroni’s that has 276
noodles in it. She plans to split the box up evenly amongst the students. How many noodles will each student
have to make their smiley face?

Answers

Answer:

12 noodles

Step-by-step explanation:

If each child is given x amount of noodles, and there are 276 noodles to split among 23 students, set up the equation as seen below:

276÷23=12

276 noodles divided by 23 children = 12 noodles per child.

does the point (7 5) satisfy the equation y = x + -2

Answers

Answer:

Yes

Step-by-step explanation:

7 = x

5 = y

5 = X + - 2

5 = X - 2

If X is 7 then

5 = 7-2

5=5

yes

PLEASE HELP IM BEGGING. which is function and which is not function please answer all.

Answers

Answer:

B

Step-by-step explanation:

for every given input there is a unique output in B, there are two times in which 5 is the output. So it is not a function

Rewrite the following equation in slope-intercept form. 2x + 16y = 11 Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

y=-1/8x+11/16

Step-by-step explanation:

The slope-intercept form is y=mx+b. You have to move over 2x to the other side. After that you have to divide both sides by 16 to get to the y intercept form, so it would end up as y=-1/8x+11/16, where -1/8=m and 11/16=b

The electricity bill of Sarah’s house for the last month was $60, while for this month it is $120. If p is the percent increase in the amount, which proportion can be used to calculate p?

Answers

Answer:

100% increase

Step-by-step explanation:

The equation is, as we see (120-60)/60=x/100. If we multiply the whole equation by 100, we get (120-60)/60*100=x. We simplify to get a 100% increase.

How many sides does a regular polygon have if each interior angle measures 176^{\circ}

Answers

Answer:

90 sides

Step-by-step explanation:

There is a relationship between number of sides and interior angle measure of regular polygons:

S = 180(n - 2), where S- sum of interior angles, n - number of sides

We have now:

176n = 180(n - 2)176n = 180n - 3604n = 360n = 90

It's equilateral polygon

Sum of interior angles=176n.

n is no of sides

[tex]\\ \sf\longmapsto (2n-4)90=176n[/tex]

[tex]\\ \sf\longmapsto 180n-360=176n[/tex]

[tex]\\ \sf\longmapsto 180n-176n=360[/tex]

[tex]\\ \sf\longmapsto 4n=360[/tex]

[tex]\\ \sf\longmapsto n=4[/tex]

help me pls thankyouuuuuuu

Answers

hope it helps. ...........

CAN SOMEONE HELP ME PLEASE ASAP!

Answers

Step-by-step explanation:

the scaling factor from 15 to 45 is 3.

we need to shoot the same to the width :

14.5 × 3 = 43.5 cm

if an angle is bisected to form two new 16° angles, what was the measure or the original angle

Answers

Answer:

32°

Step-by-step explanation:

16 × 2 = 32

Keywords:

Bisected; means to divide into two parts.

Answer:

So, original angle = 16°+16° =>32°

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Can you’ll help me pls , I really need help.

Answers

Answer:

-t + 4.5>7

Step-by-step explanation:

-18 = t

-t = 18

18+4.5 = 22.5

22.5>7

Boom

hope it helps :)

Is -2g/4h a monomial number

Answers

Yes, because it only has a single expression, although the division sign might not count….

2x - 3y = -24 solve for y
x + 6y = 18 solve for x when y= 2
I need the answer

Answers

01.

2x-3y=-24

-3y=-2x-24

3y=2x+24

y=(2x+24)/3

02.

x+(6*2)=18

x=18-12

x=6

Answer: y =  2/ 3 x+8, and x = 6

Step-by-step explanation: 2x−3y+−2x=−24+−2x                                                   −3y /−3  =  −2x−24 /−3                                                                                                     y =  2/ 3 x+8                                                                                                                           x+(6)(2) = 18                                                                                                                          x+12+(-12) = 18+-12                                                                                                                x = 6

       

Other Questions
Select the correct answer. Which sentence best describes the theme of a story? A. The message that the author wants to convey. B. The idea stated in the opening lines of the story. C. The idea stated at the end of the story. D. The authors view of the characters in the story. When is there no atmospheric pressure pjysics. If 2 pizzas cost $16, how much do 4 pizzas cost? PLEASE HELP QUICK I HAVE LIKE 7 MINSChoose the scatter plot that suggests a linear relationship between x and y. Billy and Michael have 2 lemonade stands. Billy charges $2 per lemonade plus a flat rate of $2.Michael charges $3 per lemonade plus a flat rate of $1.How many lemonades would they have to sell to be making the same amount of money? a contract clause which specifies the amount of damages to be paid in the event of a breach is called Which relation is a function? 2. Nosotras____(poder) hablar espaol muy bien y t. ____(poder)hablar francs. Solve for g.7 3g = 13g = Could someone please help me on this equation? The cost of dance lessons is $12 for 1 lesson, $22 for 2 lessons, and $32 for 3 lessons. Use a graph to determine whether the cost is proportional to the number of lessons. Explain your reasoning. number 4. and 5.What is the unit rate for each size?Which size is a better buy? why? Based on the diagram, can point d be the centroid of triangle acf? explain. Yes, point d is the point of intersection of segments drawn from all three vertices. Yes, de is three-quarters of the length of the full segment. No, de should be longer than ad. No, the ratio between ad and de is 3:1. circle terms and simplify each of the following expressions. a. 3+1.4+(-7). b. 50+3(-10)+ 2(-20)c. 4+(-50)+2 d. (4+(-170)) (5+4))What does it mean by terms? Trish has 7 cans of dog food for 3 days. She will feed each dog 2 1/3 cans of food each days. If she wants to feed them 3 cans each day how many more cans of food will she need hydrogen bond is a strong dipole interaction for example water and other molecules true or false Hi!! :) I need help. Please, NO LINKS This is governmental history regarding the U.SWhat does the term police power refer to?A. a government's inherent authority to restrict private rights to protect public welfare, order, and securityB. the power of police officers to enter private homes only if they have a warrant to do soC. the power that police officers have to uphold the law without excessive governmental involvementD. the limitations placed on police officers by the federal government the name texas is derived from a caddo indian name meaning what? Problem 07.020 - Heat transferred from cold to hot reservoir Assume that heat in the amount of 100 kJ is transferred from a cold reservoir at 600 K to a hot reservoir at 1050 K contrary to the Clausius statement of the second law. What is the total entropy change Hailey is putting up a fence in the shape of an isosceles triangle in herbackyard. The fence has side lengths as shown, where x represents thenumber of feet in each fence section. The perimeter of the fence can becovered using 8 total fence sections represented by the expression 8x. Iffencing costs $6.50 a foot, what would be the total cost of the fence?(2x + 4) ft(3x + 7) ft.(2x + 4) ft