Please show the solving

Answer:

D

Step-by-step explanation:

Answer: y = 2 and x = 2

Step-by-step explanation:

[tex]9x^2+4(y-2)^2=36\\x^2=2y[/tex]

First, get the entire thing in terms of y, because you cant solve for two variables at the same time. They gave us the fact that x^2 = 2y

[tex]9(2y)+4(y-2)^2=36\\18y+4(y^2-4y+4)=36\\18y+4y^2-16y+16=36\\4y^2+2y-20=0[/tex]

What two numbers multiply to equal -80 but add to equal 2? That is +10 and -8.

[tex]4y^2+2y-20=0\\(4y^2-8y)+(10y-20)=0\\4y(y-2)+10(y-2=0)\\(4y+10)(y-2)=0\\y=-5/2\\y=2[/tex]

Now solve for x by plugging in y to the easier equation

[tex]x^2=2(-5/2)\\x\neq \sqrt{-5}[/tex]

If I didn't make a mistake, this should be the only answer. In the case of y = -5/2, you would get an imaginary x-value. Therefore y cannot equal -5/2

[tex]x^2=2(2)\\x=2[/tex]

The solution of the expression are,

x = 2.28 , y = 2.62

Or, x = 3.9i , y = - 7.62

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The system of equations are,

9x² + 4 (y - 2)² = 36  .. (i)

x² = 2y  .. (ii)

Substitute the value of x² from (ii) in (i);

9x² + 4 (y - 2)² = 36

9 × 2y + 4 (y - 2)² = 36

18y + 4 (y - 2)² = 36

9y + 2 (y - 2)² = 18

9y + 2 (y² + 4 - 2y) = 18

9y + 2y² + 8 - 4y = 18

2y² + 5y + 8 - 18 = 0

2y² + 5y - 10 = 0

y = - 5 ± √5² - 4×2×- 10 / 2×2

y = - 5 ± √ 25 + 80 / 2

y = - 5 ± √ 105 / 2

y = - 5 ± 10.24 / 2

y = - 5 + 10.24 / 2

y = 5.24/2

y = 2.62

y = - 5 - 10.24 / 2

y = - 15.24 / 2

y = - 7.62

From (ii);

x² = 2y

x² = 2 × 2.62

x² = 5.24

x = 2.28

x² = 2y

x² = 2 × - 7.62

x² = - 15.24

x = 3.9i

Thus, The solution of the expression are,

x = 2.28 , y = 2.62

Or, x = 3.9i , y = - 7.62

Learn more about the mathematical expression visit:

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Answer:

Step-by-step explanation:

Find h when v = 20 and r = 3

Putting values in the formula

20 = (3.14)(3)2h

20 = (3.14)(9)h

20 = 28.26h

20/28.26 = h

R when v = 100 and h = 5

100 = (3.14)r2(5)

100/5 = 3.14r2

20 = 3.14r2

20/3.14 = r2

6.36 = r2

Square root on both sides

2.52 = r

Answer:

undefined

Step-by-step explanation:

Answer:

The answer is below

Step-by-step explanation:

We are asked to create a box plot. To create a box plot, we need to determine the minimum point, maximum point, lower quartile, upper quartile, interquartile range, median.

First we have to arrange the data in ascending order. This gives:

85, 150, 180, 200, 210, 250, 450

The minimum point = 85

The maximum = 450

[tex]Median=\frac{2}{4}(n+1)^{th}term=\frac{2}{4}(7+1)=4^{th}\ term=200\\\\Median=200 \\\\Lower\ quartile(Q_1)=\frac{1}{4}(n+1)^{th}term=\frac{1}{4}(7+1)=2^{nd}\ term=150\\\\Lower\ quartile(Q_1)=200 \\\\Upper\ quartile(Q_3)=\frac{3}{4}(n+1)^{th}term=\frac{3}{4}(7+1)=6^{th}\ term=250\\\\Upper\ quartile(Q_3)=250 \\\\Interquartile\ range=Q_3-Q_1=250-150=100[/tex]

Answer: I think it’s A but I’m not really good with square roots.

Step-by-step explanation:

Answer:

1. standard form

2. vertex form

Answer:

y = 9

Step-by-step explanation:

-2y+6=-12

subtract 6 on both sides: -2y=-18

divide both sides by -2: y=9

Answer:

[tex]y = 9[/tex]

Step-by-step explanation:

1) Subtract 6 from both sides.

[tex] - 2y = - 12 - 6[/tex]

2) Simplify -12-6 to -18.

[tex] - 2y = - 18[/tex]

3) Divide both sides by -2.

[tex]y = \frac{ - 18}{ - 2} [/tex]

4) Two negative makes a positive.

[tex]y = \frac{18}{2} [/tex]

5) Simplify 18/2 to 9.

[tex]y = 9[/tex]

So, Yherefor, the answer is, y = 9.

Answer:

first find the diameter 3x2=6  

6 is the diameter multiply the diameter x 3.14

6x3.14=18.84  

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solution

=5 2/3 + 7 5/9

=3×5+2/3+9×7+5/9

=17/3+68/9

=119/9

=13.22

Hope it helped you.

Answer:

( 10,-7)

i didn't understand what u wrote in choice

The coordinates of the point S of the line RS having midpoint T are found to be (10, -7).

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.

here, we have,

The points that are given to us are R(-2,3) and T(4, -2).

The point T is the mid point of the line segment RS.

If A(a, b) and B(c, d) are the two points then the mid point M of the two points will be,

M = ((a+c)/2), ((b+d/2))

So, using the above modified form of section formula we can find the coordinates of the point S.

Assuming point S to be x and y.  

So, putting all the values,

(4, -2) = ((-2+x)/2), ((3+y/2))

Now, solving further, we get,

-1+x/2 = 4

-2+x = 8

x = 10

And,

3 + y = -4

y = -7

So, the coordinates are (10, -7).

To know more about mid point formula, visit,

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Answer:

C, D, F

Step-by-step explanation:

I hope it helps, sorry if any wrong.

Answer:

1) 20

2) 4

Step-by-step explanation:

1)

I) Substitute t with 2:

2² + 5(2) + 6

II) Simplify/Evaluate:

2² + 5(2) + 6

4 + 10 + 6

14 + 6

20

2)

I) Setup the equation:

g(t) = 5t - 2 = 18

5t - 2 = 18

II) Solve it:

Reorder the terms:

-2 + 5t = 18

Add 2 to each side of the equation:

-2 + 2 + 5t = 18 + 2

Simplify:

0 + 5t = 18 + 2

5t = 18 + 2

5t = 20

Divide each side by 5:

t = 4

Hope I helped :)

Answer:

 Billy could have cut his pizza into 7,6,5,4,3,2, or 1 slices of pizza

Step-by-step explanation:

Billy ate less than 8 slices of pizza so billy could have sliced his pizza into any number that is less than 8

Answer:

C) (1,0), and (-3,0)

Step-by-step explanation:

The parabola intercepts the x axis at points (1,0) and (-3,0).

your answer is

C) (1,0), and (-3,0)

have a good dayyy!

Answer:

2/3 bottle of car wax

Step-by-step explanation:

If Devon waxes 1/2 of his car with 1/3 bottle of car wax then he only has half of his car to finish. Since 1/2 of his car used 1/3 of wax then the other half will only take 1/3 of car wax.

Hope this helps!

Answer:

1^66 = 1

1^81 = 1

1^52 = 1

1^99= 1

Step-by-step explanation:

Hope this helps

Answer:

the solution for the two functions

Step-by-step explanation:

the coordinate that satisfies both equations

Answer:

Number of bouquet * roses per bouquet = roses per bouquet * Number of bouquet

5 * 12 = 12 * 5

60 = 60

Step-by-step explanation:

Given that :

Jesse :

Number of bouquet = 5

Roses per bouquet = 12

Kyle:

Number of bouquet = 12

Roses per bouquet = 5

To show commutativity :

Number of bouquet * roses per bouquet = roses per bouquet * Number of bouquet

5 * 12 = 12 * 5

60 = 60

Answer:

The answer is D.

Step-by-step explanation:

5x12 is equal to 12x5 (communitive property)

Answer:

7 ft

Step-by-step explanation:

As we know that the formula to find the perimeter of a rectangle is

P = 2 (l) + 2(w). With that being said, we can look at the question.

The answer should be given in terms of feet, so we will have to convert 18 inches to ft. In order to convert from inches to ft, you will have to divide by 12.

18 / 12 = 1.5ft

18 inches = 1.5 foot

Now we take the given values and put them into the formula to find the perimeter of the rectangular field.

2 (l) + 2(w) = 2 (2 ) + 2 (1.5) = 7ft

The perimeter of the rectangular field is 7ft.

this means that y can be equal to 7.9 or any other number above

THANKS FOR GIVING ME THX

AND HI NICE TO MEET U

I AM GIRL THIS IS MY BROTHER PHONE

Answer:

1

Step-by-step explanation:

its subtracting 5 every step, 11, 6, 1, -4, -9

Answer:

1

Step-by-step explanation:

It does substract 5 every single time so it's

11 , 6 , 1 , -4 , -9 , -14 , -19 and so on.

Answer:

5/16

Step-by-step explanation:

Answer:

The probability that Janet will elect a green marble is that if she shake them up and down. When she puts her hand in she has the move her hand around giving her the chance that she might pick a green marble.

Answer:

1968

Step-by-step explanation:

246×2=492(First month)

492×2=984(Second month)

984×2=1968(Third month)

Answer:

Gradient of the line is 1/2 or 0.5

Step-by-step explanation:

If we use the simple formula

UP divided by ACROSS

Then we can substitute our numbers in. I used the co-ordinates (0,2) and (2,3).

This makes 1/2, because it goes 2 across and 1 up from (0,2) to (2,3).

Answer: 2 (I am not sure if this is correct)

Step-by-step explanation:

Answer:

60%

Step-by-step explanation: