The sum of any two number is 21and the sum of their squares is 261.find the numbers.​

Answers

Answer 1

Answer:

The two numbers are 6 and 15.

Step-by-step explanation:

[tex]x+y=21\\y=21-x\\x^{2} +y^{2} =261\\x^{2} +(21-x)^{2}=261\\x^{2} +441-42x+x^{2} =261\\2x^{2} -42x+180=0\\x^{2} -21x+90=0\\(x-6)(x-15)=0\\[/tex]

x=6 and x=15


Related Questions

Please help!!! Thank you!!!

Answers

Answer:

See below

Step-by-step explanation:

Statement                                      | Reason                                            

1. m∠A + m∠B + m∠C = 180°         | 1.  Angles in a triangle sum to 180°

2. 28° + x - 4° + 2x = 180°              | 2. Substitution

3. x=(180° - 24°)/3= 156°/3°= 52°   | 3. Algebra

3y (x + x^2 - y)
i need help :(((

Answers

Answer:

3yx+3yx^2-3y^2

Step-by-step explanation:

What does 5000 x 5000?

Answers

Answer:

25,000,000

Step-by-step explanation:

5*5=25 and add the 6 zeros

please give thanks :)

Answer:

well for me

Step-by-step explanation:

I think

=25000000

How many solutions will this system of equations have? (2 points)

x − 2y = 24
3x − 6y = 72

Answers

The answer is infinitely many solutions

If you divide the 2nd equation by 3, you get the first equation, meaning they are identical. That means that any value of x will be true, which means there are infinite solutions

Solving an Equation for a Given Variable
The equation f= v + at represents the final velocity of an object. f. with an initial velocity, u, and an acceleration rate,
a, over time, t. Which is an equivalent equation solved for a?
Of-v =a
OL-v=a
V =a
OL+v=a

Answers

I’m so sorry I don’t know I not so good

The diagram represents a reduction of a triangle by using a scale factor of 0.8.
What is the height of the reduced triangle?
A) 4.0 inches
B) 4.8 inches
C) 5.2 inches
D) 7.5 inches

Answers

Answer:

B 4.8 inches

Step-by-step explanation:

The scale factors are used to convert a figure into another one with similar characteristics but different lengths, in this example is a triangle, and in order to calculate the measure of the height you just have to multiply the original height by the scale factor:

HELPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE IT IS URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

12 - B

13 - No

14 - for every 2 feet of rope he pays about $1.50

hope this helps

Step-by-step explanation:

12 b 13 no so there you go

3 pounds cost $15. How many pounds can you buy for $45?

Answers

Answer:

you can buy 9 poundssss

9 pounds is the correct answer

Triangle ACB with coordinates A(0,0), C(2,0), and B(2,4) is similar to triangle BED. If vertex D has coordinates (6,12), what are the coordinates of vertex E?

Answers

Answer:

A right triangle is a triangle that has 90 degrees angle in one of its parts. You are given two points that have coordinate:

x1,y1= (-2, 4)

x2,y2= (-1,1)

To make the angle 90 degrees, there is two possible third point coordinate:

1. x1, y2 = (-2,1)

2. x2, y1= (-1,4)

The right triangle would be option C: (-2,1)

Option A and B is not a right triangle

Step-by-step explanation:

Answer:

the coordinates of vertex E is (6,0)

C(2,0),compare this to(2,4)

same x.but y=0

(6,0)comparing to (6,12)

we get it

Express the missing divisor using a power of 10. Explain your reasoning using a model.
7.5 ÷ ___________ = 0.075

Answers

Gfeedyyhres1234ffhhtfy

Equation: -2(2x + y) = 28.

Answers

Answer:

x=-14-y/2

Step-by-step explanation:

divide both sides by -2

-2(2x+y)/-2=28/2

simplify

2x+y=-14

subtract y from both sides

2x+y-y=-14-y

simplify

2x=-14-y

divide both sides by 2

2x/2=-14/2-y/2

simplfy

x=-14-y/2

I need help with this equation. I'm not that smart so I can't figure it out-

Answers

Answer:

x = 0

Step-by-step explanation:

In order to solve for x, first combine both fractions on the left

To add 4x-2/8 + 3+x/4 first find the least common denominator of 8 and 4

It's 8 so multiply the numerator and denominator of 3+x/4 by 8, you would get:

8x+24/32

Multiply 4x-2/8 by 4, you will get:

16x-8/32

Now you can add 16x-8/32 + 8x+24/32, you would get:

24x+16/32

Now you can start to solve for x

Your new equation is 24x+16/32 = 1/2

To solve for x, first multiply diagonally, then solve like a regular equation.

Multiply 24x+16 by 2 to get 48x+32

Then multiply 32 by 1 to get 32

Your new equation is 48x+32=32

Now subtract 32 by 32 to get 48x=0

Now divide 48 by 0 to get x=0

Annette, Barb, and Carlita work in a clothing shop. One day the three had combined sales of $1480. Annette sold $140 more than Barb. Barb and Carlita combined sold $320 more than Annette. How much did each person sell?

Answers

Annette sold $580
Barb sold $440
Carlita sold $460
Whixh adds up to the total amount of $1480

Annette sold 580 which is 140 more than barb so 580-140= 440. Barb a carlita combined sold 320 more than Annette. We know Annette sold 580 so 580 +320 = $900 which it the combined total of what barb and carlita sold. We know barb sold 440 so 900-440= 460 which is the total amount that carlita sold.

Write an expression to show how much it costs per week to keep the 8 adults x where the number of pounds one adults in a day. Simplify your expression

Answers

Answer:

y = 56x

Step-by-step explanation:

Given the amount to keep one adult in a day to be x

Since 7 days = 1 week

Amount it will take to keep one adult for a week will be 7x

one adult = 7x pounds

To get the expression that show how much it costs per week to keep the 8 adults, we will say;

8 adults = y pounds

where y is the required amount

Solving both expressions

one adult = 7x pounds

8 adults = y pounds

Cross multiply

1 * y = 7x * 8

y = 56x

Hence the required expression is y = 56x

Please actually answer this, don't just type random stuff i swear. Okay, has this been happening to anyone else? What's happening is I can't get a tutor at all, I am doing Mathematics too like- can someone help me, please don't answer this just for points. ​

Answers

Answer:

Finding a tutor for mathematics? If that's the problem

Step-by-step explanation:

Try asking friends, family, close people in your family about mathematics. Maybe they have the same problem and somehow got over it by studying, asking questions, or they have a tutor, etc

Try using that same method that they used. If none of them have problems, ask your parents about that. They might be willing to sit down and teach you a little bit...

I have always had problems with math so I am sorry if it doesn't work out for you

There are a lot of programs that provide tutors for all subjects.

One way to get a tutor is to simply look up “Tutors near me” and there should be a good amount of people looking to help depending where you live.

Another way is to go through your school and ask if they could set you up with one. Whether it’s college, junior high, high school, they can set you up with a high level professor and / or high school student who’s qualified. This is how i got my tutor for mathematics in high school :)

One other way i know of is to go through a teacher, friend, or family member to see if there is anyone they know who’d be happy to help.

Which equasion represents a line that is parallel to the line y=-4x+5

Answers

In order to be parallel to your line, a line has to have the same slope as your line. So it has to have slope −4

4
.

Thus any line parallel to the line =−4+5
y
=

4
x
+
5
has an equation of the form =−4+
y
=

4
x
+
b
, where
b
is any number.

Explain why it is important to line up decimal points when you are adding and subtracting decimals. Use the problem 6.32 – 0.5 in your explanation

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

When performing addition and subtraction of decimals, it is important to arrange the numbers being added or subtracted such that the decimal points are in line. This is particularly important so that the place value of the numbers are in accord.

To simplify, when then decimals are in line, then the tenth value of the first number will be added to the tenth value of the second. Without this arrangement, one might be adding the hundredth placed value to the tenth or unit value which is mathematically incorrect and will yield a wrong result.

For instance :

6.32 - 0.5

Here, when the decimal point of each number is in line, the tenth placed value of the first number (3) matches the tenth placed number of the second number (5) and all others also fall in place automatically.

____6.32

- ___0.5

________

___ 5.82

________

PLZ HELP ILL MARK U BRAINLEIST

Answers

Answer:

Step-by-step explanation:

OK so i think triangle c

Answer:

F And C

Step-by-step explanation:

congruent means identical in form

Please help as soon as possible! I need to get this done now! Thank you so much

Answers

Answer: SSS and CMW=FPY

Step-by-step explanation:

The lines on each side of the triangle show which sides match. So it is just a case of matching sides with sides.

¿Cuál debe ser el precio de venta de cada lápiz para que el ingreso total sea máximo? El ingreso total l(v) que se obtiene por la venta de lapices esta dado por la función l(v)=-2v^2+500v, donde v es el precio de venta de cada lápiz en pesos.

Answers

Responder:

125 pesos

Explicación paso a paso:

Dado el ingreso total l (v) obtenido de la venta de lápices por la función

Yo (v) = - 2v ^ 2 + 500v

v es el precio de venta de cada lápiz

Para que el ingreso total sea máximo, entonces dI / dv debe ser cero, es decir, dI / dv = 0

dI / dv = -4v + 500

Dado que dI / dv = 0

0 = -4v + 500

4v = 500

Dividir entre 4

4v / 4 = 500/4

v = 125

De ahí que el precio de venta de cada lápiz sea para que el ingreso total sea máximo es de 125 pesos

I'll love you forever if you help me with this

Answers

a. y + 4 = - 9/11 (x-8)

Given the following functions, find the indicated values.
f(x) = 2 -5x
(a) f(-6) (b) f(0) (c) f(9)
(a) f(- 6) = 2
(b) f(0) =
(c) f(9) =

Answers

Answer:

f(-6) = 32

f(0) = 2

f(9) = -43

Step-by-step explanation:

Since in this question we are given a function all we have to do is to plug in the values that were indicated in the question and find out what value are we going to get as an output of this function. So we just do the following.....

a)

f(-6) = 2 - 5(-6)

f(-6) = 2 - (-30)

f(-6) = 2 + 30

f(-6) = 32

b)

f(0) = 2 - 5(0)

f(0) = 2 - 0

f(0) = 2

c)

f(9) = 2 - 5(9)

f(9) = 2 - 45

f(9) = -43

PLEASE HELP!
In the accompanying diagram of rhombus ABCD, diagonal AC is drawn. If m<CAD 30, find m<ABC.

Answers

90 degrees is the correct answer

Find the value of x. Give reasons to justify your solution. D ∈ AC

Answers

Answer:

x = 13

Step-by-step explanation:

Find the diagram attached

From the diagram, the sum of angle of the straight line BCD is 180°. Hence;

<BCE+<ECF<90 = 180

<BCE+64+90=180

<BCE+154 = 180

<BCE = 180-154

<BCE = 26°

Next is to get x.

The sum of interior angles <BCE and <BEC is equal to exterior angle <ABE

<BCE + <BEC = <ABE

26+x = 3x

Collect like terms

26 =3x-x

26=2x

x = 26/2

x = 13

Hence the value of x is 13

what are the slope and y-intercept for the graph of y-3x=-1

Answers

to find the slope, first you have to put the equation in the slope intercept form, which is y=mx + b

to do that, you have y - 3x = -1
you want to get y alone so add 3x to both sides
you’ll get y= 3x -1
so your m (slope) is 3

now your y intercept is always your constant which in this case is -1

answer: slope= 3x
y intercept: -1

Answer:

Step-by-step explanation:

Think of the equation y = mx + b

So the m is the slope and the b is the y-intercept

m/slope= 3 b/y-intercept= -1

Help!
[tex] \sqrt{6 - 5x} + 2x = 0[/tex]

Answers

The answer is x = -2

Find the slope and type in the correct code.

Answers

Answer:

DFBG

Step-by-step explanation:

At any point in time;

slope m = (y2-y1)/(x2-x1)

1. (3,19) and ((-1,-13)

m = (-13-19)/-1-3 = -32/-4 = 8

Letter here is D

2. we pick out two points to use here from the line

These are ((0,1) and (2,5)

Slope is ;

(5-1)/2-0 = 4/2 = 2

Letter here is F

3. We pick any two points

(1,-8) and (4,-32)

slope =

(-32 + 8)/4-1 = -24/3 = -8

Letter here is B

4. Slope = 8 + 10/0-9 = 18/-9 = -2

letter here is G

help look at image above

Answers

Answer:

any number greater than 5 (so 6 and 8)

Step-by-step explanation:

since the expression on the left is supposed to be greater than 7, 5 cant be an answer because that will equal to 7. Therefore any number greater than 5 will work.

Andrew purchased a coat for $50.00 on sale for 25% off. What was the cost of the coat after the discount not including tax?

Answers

Answer:

$37.50

Step-by-step explanation:

Sale = $50.00 x 25% = $12.50

=> The coat after the discount = $50.00 - $12.50 = $37.50

$37.50

Step-by-step explanation:

Sale = $50.00 x 25% = $12.50

=> The coat after the discount = $50.00 - $12.50 = $37.50

can you please give me a step by step? thank you!

Answers

Answer:

-3/2x +2

Step-by-step explanation:

To find slope: y value - y value over x value - x value

5-(-4) = 9

-2 -4 = -6

9/-6 = -3/2 after you divide each by gcf of 3

y intercept : plug in your y and x values (and your slope ) into the equation: y = mx+b (slope intercept form)

point 1 (-2,5): 5 = (-3/2)(-2)+b

                     5 = 3+b (subtract 3 from both sides)

                      2 = b (your y intercept)

Answer: y=[tex]\frac{-3}{2}[/tex]x+2

Step-by-step explanation:

1. Find the slope of the two coordinates by using the slope-intercept form:

    Slope intercept form=(y₂-y₁)/(x₂-x₁)

    (-4-5)/(4-(-2))

    (-9)/(4+2)

    -9/6 or -3/2

2. Now that we have the slope for these two coordinates, plug them into the point-slope formula.

    Equation for point-slope: y-y₁=m(x-x₁), where m=slope

    y-5=[tex]\frac{-3}{2}[/tex](x-(-2)

    y-5=[tex]\frac{-3}{2}[/tex](x+2)

    y-5=[tex]\frac{-3}{2}[/tex]x-[tex]\frac{6}{2}[/tex]

    y-5=[tex]\frac{-3}{2}[/tex]x-3

(Add 5 to both sides)

    y=[tex]\frac{-3}{2}[/tex]x+2

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