if y=2x+2 and 4x+3y=26m, then find the value of x^2+y^2

Answers

Answer 1

Answer:

x² + y² is equal to = (4 / 81)(845m² + 78m + 18)

Step-by-step explanation:

We first need to get the values of x and y, which can be done using a system of equations, substituting one of the two functions into the other:

Given:

y = 2x + 2

3x + 3y = 26m

Then:

3x + 3(2x + 2) = 26m

3x + 6x + 6 = 26m

9x + 6 = 26m

9x = 26m - 6

x = (26m - 6) / 9

Now we can solve for y:

y = 2x + 2

y = 2(26m - 6) / 9 + 2

y = 2(26m - 6) / 9 + 18 / 9

y = (52m - 12 + 18) / 9

y = (52m + 6) / 9

Now we can sum up their squares:

x² + y²

= ((26m - 6) / 9)² + ((52m + 6) / 9)²

= (676m² - 312m + 36) / 81 + (2704m² + 624m + 36) / 81

= (3380m² + 312m + 72) / 81

= (4 / 81)(845m² + 78m + 18)


Related Questions

The radius of the circle on a basketball court is 6 ft. What are the approximate circumference and area of the circle?

Answers

ANSWER:

Circumference= 37.7

Area= 113.1

Write an expression for the perimeter of a square of side 5y

Answers

The answer is 4(5y), guy

Algebraic Simplification
Solve
1. (5a- 6b) + (4a +8b)
2.pqr+pqr-2qrs+5qrs-3pqr
(Need step by step explanation)

Answers

Answer:

[tex] \boxed{ \tt{1. \: \: 9a + 2b}}[/tex]

[tex] \boxed{ \tt{2. \: \: 2pqr + 3qrs - 3pqr}}[/tex]

Step-by-step explanation:

[tex] \tt{1. \: \: (5a - 6b) + (4a + 8b)}[/tex]

Remove the unnecessary parentheses :

⇾ [tex] \tt{5a - 6b + 4a + 8b}[/tex]

Combine like terms. Like terms are those which have the same base { For instance : In the term 4a , a is the base }. Also remember that : Only coefficients of like terms can be added or subtracted.

⇾ [tex] \tt{5a + 4a - 6b + 8b}[/tex]

⇾ [tex] \tt{9a + 2b}[/tex]

[tex] \tt{2. \: \: pqr + pqr - 2qrs + 5qrs - 3pqr}[/tex]

Combine like terms :

⇾ [tex] \tt{2pqr + 3qrs - 3pqr}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

1. (5a-6b) + (4a+8b)

= (5a + 4a) + (8b - 6b)

=9a + 2b

2. pqr+pqr-2qrs+5qrs-3pqr

= 2pqr-3qrs-3pqr

= -3qrs-pqr

Step-by-step explanation:

have a great day

7x + 8 > 4x + 4
Give your answer as an improper fraction in its simplest form.

Answers

Answer:

hope this is helpful to you

what the answer to 8/575

Answers

Cancer Res you are you still have to be

Answer:

71•8

Step-by-step explanation:

8/575

using long division method

the answer is

71•8

if shaun plays 1 game with mike and then 1 game with tim, what is the probability that shaun loses both games

Answers

Answers did you ever get this awnser??

Step-by-step explanation:

Please help please...

Answers

Answer:

In step one, -8 - 2 should result in -10, not -6.

The equation tan(55 degree) equals StartFraction 15 Over b EndFraction can be used to find the length of Line segment A C.

Answers

Given:

The equation is

[tex]\tan(55^\circ)=\dfrac{15}{b}[/tex]

To find:

The length of the line segment AC.

Solution:

We have,

[tex]\tan(55^\circ)=\dfrac{15}{b}[/tex]

[tex]1.428148=\dfrac{15}{b}[/tex]

Multiply both sides by b.

[tex]1.428148b=15[/tex]

Divide both sides by 1.428148.

[tex]b=\dfrac{15}{1.428148}[/tex]

[tex]b=10.50311[/tex]

[tex]b\approx 10.503[/tex]

In a triangle ABC, the line of line segment AC is b. So,

[tex]AC\approx 10.503[/tex]

Therefore, the length of the line segment AC is 10.503 units.

Simplify the radical

Answers

Answer:

[tex] \sqrt{108} \sqrt{36 \times 3} \sqrt{36} \sqrt{3} \: \: 6 \sqrt{3} \: \: \: \sqrt{108} = 10.392304845413264[/tex]

Find the area of this semi-circle with diameter, d = 58cm.
Give your answer rounded to 2 DP.

Answers

Answer:

The area of the semi-circle

                                  A = 1320.37 cm²

Step-by-step explanation:

Explanation:-

Given the diameter of the circle 'd' = 58cm

The radius of the circle 'd' = 2r

                                       [tex]r = \frac{d}{2} = \frac{58}{2} = 29[/tex]

The area of the semi-circle

                           [tex]A = \frac{1}{2} \pi r^{2}[/tex]

                           [tex]A = \frac{1}{2} (3.14) ((29))^{2}[/tex]

                          A = 1320.37 cm²

3x + 4y = 9

-3x - 2y = -3

Answers

Answer: x=−1 and y=3

Step-by-step explanation:

The midsegment of a trapezoid is a segment whose _____ are the midpoints of the legs of a trapezoid.

Answers

Answer:Joints

Step-by-step explanation:

It is likely the joining point so it is so help ful

00:00

Select all the numbers that are irrational.

6.7234724...

315

8

-0.25

✓7

17

36

Answers

Answer:

6.7234724... ; ✓7

Step-by-step explanation:

In the most simplest of terms, we can explain irrational numbers as numbers which cannot be expressed as a ratio of two integers usually because they cannot give an exact value when evaluated.

Using the values given :

6.7234724... - - >This is an irrational number because the '...' depicts that the values are unending and as such an exact expression in the form of a ratio (p/q) cannot be determined.

315, 26, 17, 8 - - - > Is a rational number, it could be express in ratio form as : 315/1. 315 is an integer and all integers are rational.

-0.25 - - > it could be expressed as - 1 /4. Hence it is a rational number.

✓7 - irrational as the simplification gives : 2.6457513...

What is the value of
5/6 divided by 3/4

Answers

Answer:
1 1/9
Explaintion:
answer : 1.19
explanation :

PLEASE HELP!! ILL MARK BRAINLIEST THANKS!!

Answers

Answer:

2985984

Hope this helps

help pls2sssssssssssssssssssss

260
52
50
150

Answers

Answer:

52

Step-by-step explanation:

I think I got this wrong I need help

Answers

Answer:

I think 3/4 will be the answer if you let

(-5 2) =(x1 y1)

(3 8) =( x2 y2)

y1-y2/x2-x2

8-2/3+5

6/8

3/4

please help this is my final

Answers

The answer would be

Slope is -7

A persons weekly pay directly proportional to the number of hours worked on Spee is $123.00 for 20 hours of work. Find amount of pay for 31 hours of work.

Answers

Answer:

$190.65

Step-by-step explanation:

123.00/20=6.15 per hour

6.15x31hours worked = $190.65

Square WXYZ has coordinates W(-4, 5), X(-1, 5), Y(-1, 8), and Z(-4, 8). If the square is translated 1 unit left and 1 unit up, what are the coordinates of W'?

Answers

Answer:

it would be (-5,6) your welcome

Eight members of the Paw Pets Club are going to the zoo. Admission is $6.25 per person. What will be the total cost of admission?
A.
$1.28
B.
$14.25
C.
$50.00
D.
$62.50

Answers

Answer:

$50.00 because you do 6.25 times 8.

Step-by-step explanation:

Hope this helps you! :)

I need help with this one plz.​

Answers

Answer:

c⁶/d²

Step-by-step explanation:

a⁻ⁿ = 1/aⁿ

So :

c⁶d⁻² = c⁶/d²

Use < >, or = to compare the following decimals.
(a) 0.91
0.98
D D>
(b) 9.07 [ 9.3
?.
(c) 0,90 [ 0.9

Answers

Answer:

0.32, 0.45, 0.76.

Step-by-step explanation:

so first you would use your < >,= signs and compare all of them until you have eliminated ALL but one (so 0.91<0.98 this is because 0.98 is close to 1 whole than 0.91) and you would continue this explanation for so on

A quadratic equation is shown below

9x^2-36x+36=0

A Determine the radicand discriminat... the number under the radical sign tell how many solutions this equation has and indicate how you know based on the radicand show your work

B solve 2x^2-9x+7 for using x an appropriate method show the steps of your work

Answers

9514 1404 393

Answer:

  A.  d = 0 -- one (1) solution

  B.  x = {1, 3.5}

Step-by-step explanation:

A. The discriminant for ax²+bx+c = 0 is ...

  d = b² -4ac

For the given equation, this is ...

  d = (-36)² -4(9)(36) = 0

The discriminant is zero (0).

The discriminant divided by the leading coefficient (a=2) will give the difference between the two roots of the equation. When the difference is zero, as here, both roots are the same. Effectively, there is one (1) solution to the equation.

__

B. The equation can be factored as ...

  2x² -9x +7 = (2x -7)(x -1) = 0

The solutions are the values of x that make the factors be zero:

  2x -7 = 0  ⇒  x = 7/2

  x -1 = 0  ⇒  x = 1

  The solutions are x = 7/2  or  x = 1.

Solve the system of equations using eliminations
4x + 3y = -5
-2x + 2y = 6
I really need help with this questions someone please help

Answers

Answer:

x= -2 and y= -1

Step-by-step explanation:

1) 4x+3y= -5

2(-2x+2y=6)

(Multipy by 2 )

Becomes

2) 4x+3y= -5

-4x+4y=12

3) -5+12 =7

7y/7=7/7=

y=1

4x+3y=-5

4x+3(1)= -5(plug in Y for 1)

4x+3= -5

4x+3+-3= -5+ -3 (add neigitve 3 on both sides)

4x= -8

4x/4=-8/4( divide 4 on both sides)

x= -2

a

Answer

x=-2 ,Y=1

oi oi oi help me please

Answers

Answer:

It is impossible for us to answer that question as we weren't provided with a text to analyze.

Step-by-step explanation:

what percent is 52.8 of 55? also how did u get itttt

Answers

Answer:

The answer is 96%.

Step-by-step explanation:

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 55 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 55, so we can write it down as 100%=55.

4. We know, that x% equals 52.8 of the output value, so we can write it down as x%=52.8.

5. Now we have two simple equations:

1) 100%=55

2) x%=52.8

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=55/52.8

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.8 is what percent of 55

100%/x%=55/52.8

(100/x)*x=(55/52.8)*x       - we multiply both sides of the equation by x

100=1.0416666666667*x       - we divide both sides of the equation by (1.0416666666667) to get x

100/1.0416666666667=x

96=x

x=96

now we have:

52.8 is 96% of 55

43x+2 = 64 + 455 - 766

Answers

43x+2=64+455−766

Step 1: Simplify both sides of the equation.

43x+2=64+455−766

43x+2=64+455+−766

43x+2=(64+455+−766)(Combine Like Terms)

43x+2=−247

43x+2=−247

Step 2: Subtract 2 from both sides.

43x+2−2=−247−2

43x=−249

Step 3: Divide both sides by 43.

43x /43  =  −249 /43

x =  −249 /43

Answer:

x =  −249 /43

Answer:

x =  −249 /43

Step-by-step explanation:

please give other person brainliest

convert these sums into decimal.
(a) (b)
3 13
--- ----
5 20

(c) (d)
13 8
----- -----
125 25

Answers

a) 0.6
b) 0.65
c) 0.104
d) 0.32

Figure ABCD is a rhombus.What is the value of x? 13 14 26 28

Answers

Answer:

The answer is 13

Step-by-step explanation:

Took the test on Edge

Answer:

x=13 :)

I took the quiz

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