What is the center of a circle whose equation is x2 y2 4x – 8y 11 = 0?

[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{ }{ \bf { \textcolor{orange}{ }{ \bf{ \textcolor{cyan}{mathematics = }}}}}}}[/tex]

(3×2-2)+(5×2+5×-1)=

(6-2)+(10-5)=

4+5=

[tex] \bf \textcolor{green}{ \underbrace{9}}[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's simplify ~

[tex]\qquad \sf  \dashrightarrow \:(3 \times 2 - 2) + (5 \times 2 + 5 \times ( - 1))[/tex]

Use BODMAS/PEDMAS rule here :

[tex]\qquad \sf  \dashrightarrow \:(6- 2) + (10 + ( - 5))[/tex]

[tex]\qquad \sf  \dashrightarrow \:4 + (10 - 5)[/tex]

[tex]\qquad \sf  \dashrightarrow \:4 + 5[/tex]

[tex]\qquad \sf  \dashrightarrow \:9[/tex]

Hope it helps you ~

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Answer:

  (e)  0.75

Step-by-step explanation:

The correlation coefficient is not affected by translation or scaling of scores. Converting them from "raw scores" to z-scores does not affect their correlation.

The correlation coefficient of the z-scores is 0.75.

Check the picture below.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{19.5^2-18^2}=r\implies \sqrt{56.25}=r \\\\[-0.35em] ~\dotfill[/tex]

[tex]\textit{lateral area of a cone}\\\\ LA=\pi r\sqrt{r^2+h^2}~~ \begin{cases} r=radius\\ h=height\\ \stackrel{slant~height}{\sqrt{r^2+h^2}}\\[-0.5em] \hrulefill\\ r=\sqrt{56.25} \end{cases}\implies \begin{array}{llll} LA=\pi \sqrt{56.25}\stackrel{slant~height}{(19.5)} \\\\\\ LA\approx 459.46~cm^2 \end{array}[/tex]

The amount of plywood needed to build the garbage bin is the surface area. Therefore, the amount of plywood needed is 90884 cm².

The wooden box is a rectangular prism. The amount of plywood used to construct the wooden box is the surface area of the box.

Therefore,

surface area of rectangular prism = 2(lw + lh + hw)

where

l = 156 cm

w = 122 cm

h = 95 cm

surface area of rectangular prism = 2((156 × 122) + (156 × 95) + (122 × 95))

surface area of rectangular prism = 2(19032 + 14820 + 11590)

surface area of rectangular prism = 2(45442)

surface area of rectangular prism = 90884 cm²

learn more on surface area here:https://brainly.com/question/27161212

Answer:

100.

Step-by-step explanation:

The 2 smaller triangles are similar, so:

48 / (x - 64) = 64 / 48

64(x - 64) = 48^2

x - 64 = 48^2/64

x = 48^2/64 + 64

= 100.

Answer:

Step-by-step explanation:

take figure a and dilate it bigger by 3 that will mean it is bigger and the shapes will be the same.

21b-32+7b-20b=

21b + 7b - 20b - 32

       8b            - 32

Hello!

21b-32+7b-20b=

21b +7b -20b -32

= 28b -20b - 32

= 8b -32

Answer: Yes

Step-by-step explanation:

Step #1: Lacey has 2 3/4 yards of wrapping paper remaining. She has six boxes to wrap, each of which requires 3/8 of a yard of paper. First, you must find the total number of yards of wrapping paper needed for six boxes.

Number of boxes * Number of wrapping paper required for each box

6 x 3/8 = 9/4

Step #2: Subtract the number of yards of wrapping paper remaining by the total number of wrapping for 6 boxes.

2 3/4 - 9/4 = 1/2

Step #3: Determine and solve whether Lacey will have enough wrapping paper left to also wrap a book that requires 1/2 yard of paper. To solve, subtract the remaining amount of wrapping paper by the amount of wrapping required for a book.

1/2 - 1/2 = 0

So, yes Lacey will have just enough wrapping paper to also wrap a book that requires 1/2 yard of paper.

Answer:

He has 4 full boxes

6 Apple pies are leftover

Step-by-step explanation:

42/9 = 4.67 How many full boxes can he fill

9 X 4 = 36 He filled out 4 full boxes

42-36=6 Total - Filled = Remainder

Answer:

she has 4 full boxes of applepies and she has 6 leftover apple pies

Step-by-step explanation:

Answer:

78.5

Step-by-step explanation:

The probability of scoring 1 , 3 or 5 points is 78.5% ( optionD)

A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event is 1 and it's 100% in percentage.

probability is expressed as;

probably = sample space/total outcome

The area of the square is expressed as;

A = l²

= 20 × 20

= 400cm²

The area of the biggest circle is 314 cm²

The probability of scoring 1, 3 or 5

= 314/400 = 0.785

in percentage = 0.785 × 100

= 78.5%

learn more about probability from

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Answer:

The answer is 12

Step-by-step explanation:

1/2x 12 = 6

6/2-2+11 = 12

The final answer is 12

Answer:

The slope is -1

Step-by-step explanation:

Formula for finding slope: [tex]\frac{rise}{run} = \frac{y2 - y1}{x2-x1}[/tex]

we got the points:

(−2,−4) and)(3,−9)

let's plug them in.

[-9-(-4)] / [3-(-2)] =

-5 / 5 = -1

Answer:

10. s = 1.50x

11. s = 28x + 5

Step-by-step explanation:

10. s (money); so multiply x (the amount of pencils) by the price which is 1.50. Which is equal to 112.50.

11. s (money); multiple x (the amount of shoes) by the price, 28, which equals 84. Then add 5 for the shipping. This equals 89.

The image point of P(x,y) = (5, -6) after applying a horizontal reflection is P'(x,y) = (1, -6).

In geometry, a rigid transformation is a transformation applied onto a geometric object such that Euclidean distance in every point of it is conserved. Translations are examples of rigid transformations and are defined by this formula:

P'(x,y) = P(x,y) + T(x,y)   (1)

Where:

If we know that P(x,y) = (5, -6) and T(x,y) = (-4, 0), then the image point is:

P'(x,y) = (5, -6) + (-4, 0)

P'(x,y) = (1, -6)

The image point of P(x,y) = (5, -6) after applying a horizontal reflection is P'(x,y) = (1, -6). [tex]\blacksquare[/tex]

Statement is incorrect and poorly formatted. Correct form is shown below:

What is the image point of (x, y) = (5, -6) after the transformation of translating horizontally the point -4 units to the y-axis?

To learn more on rigid transformations, we kindly invite to check this verified question: https://brainly.com/question/1761538

Answer:

x = 3

Step-by-step explanation:

The measure of the inscribed angle is half of measure of the intercepted arc .

Find the half of 192.

192/2 = 96

The inscribed angle is 96°.

Create an equation and solve for x.

31x + 3 = 96

31x + 3 - 3 = 96 - 3

31X = 93

31x/31 = 93/31

x = 3

Answer:

1/8

Step-by-step explanation:

●●○•°°°□□●○○○○○••••

Answer:

The answer is A since it does the same movements twice. Think of it like flipping a coin, then actually taking the coin and flipping it back over regardless of what it lands on.

Step-by-step explanation:

Hope this helps have a good rest of your day

Answer:

1289.8089172

Step-by-step explanation:

if you do 90 x 2 = 180 you get the circumference of what would be the complete circle, the formula for area with circumference is A = (C^2/4x3.14) so inserting 180, the answer is 2579.61783439, and half of that is a semi circle so 2579.61783439/2 = 1289.8089172

Check the picture below.

Answer:

h   ≥  -432

Step-by-step explanation:

h/-24<=18

Multiply though by -24:

h  ≥  -24*18

h   ≥  -432  

Note: the inequality signs flips as we are multiplying both sides by a negative value.

Answer:

See below ↓

Step-by-step explanation:

We need to prove :

⇒ cos⁻¹ [tex]\frac{12}{13}[/tex] + sin⁻¹ [tex]\frac{3}{5}[/tex] = tan⁻¹ [tex]\frac{56}{65}[/tex]

Let's simplify the LHS.

Convert the inverse cos and sin functions into inverse tan functions

Identity

Using this identity, we can simplify our earlier equation!

⇒ tan⁻¹ [(5/12 + 3/4)/(1 - (5/12 x 3/4))]

⇒ tan⁻¹ [(20 + 36) / (48 - 15)

⇒ tan⁻¹ (56/65)

⇒ RHS

⇒ Proved ∴√

[tex]\text{L.H.S}\\\\=\cos^{-1} \dfrac{12}{13} + \sin^{-1} \dfrac 35\\\\=\sin^{-1} \dfrac 5{13} + \sin^{-1} \dfrac 35\\\\[/tex]

[tex]=\sin^{-1}\left[\dfrac 5{13}\sqrt{1- \left(\dfrac 35 \right)^2} + \dfrac 35\sqrt{1-\left(\dfrac 5{13} \right)^2} \right]\\\\=\sin^{-1} \left(\dfrac 5{13} \sqrt{1-\dfrac 9{25} }+\dfrac 35 \sqrt{1-\dfrac{25}{169}} \right)\\\\=\sin^{-1} \left(\dfrac 5{13} \sqrt{\dfrac{16}{25}}+\dfrac 35 \sqrt{\dfrac{144}{169}} \right)\\\\=\sin^{-1} \left(\dfrac{5}{13} \cdot \dfrac 45 + \dfrac 35 \cdot \dfrac{12}{13} \right)\\[/tex]

[tex]=\sin^{-1} \left(\dfrac 4{13} +\dfrac{36}{65}\right)\\\\=\sin^{-1} \left(\dfrac{20}{65} + \dfrac{36}{65} \right)\\\\=\sin^{-1} \left(\dfrac{20+36}{65} \right)\\\\=\sin^{-1} \left(\dfrac{56}{65} \right)\\\\=\text{R.H.S}[/tex]

Answer:

  8

Step-by-step explanation:

One way to solve problems involving the mean of a data set is to consider the way the numbers relate to the mean.

When we subtract the mean from the given numbers, we find the differences are ...

  -1, 1, 3, -3

The sum of these differences is 0. The missing number will make the toal of all differences from the mean be zero. Since it is already zero, the missing number is the mean. The missing number is 8.

Answer:

114

Step-by-step explanation:

just add all sides together.

Answer:

91 cm

Step-by-step explanation:

Perimeter is adding all of the side lengths:

8+32+10+10+4+4+23=91

Don't forget to add the unit:

91 cm

we can always get the common ratio of a geometric sequence by simply dividing the current term by the previous term, in this case for the sake of simplicity let's divide 2/3 by 2, so  

[tex]\cfrac{2}{3}\div 2\implies \cfrac{2}{3}\div \cfrac{2}{1}\implies \cfrac{2}{3}\cdot \cfrac{1}{2}\implies \cfrac{1}{3}\impliedby \textit{common ratio}[/tex]

so the sequence more or less looks like   [tex]2~~,~~\cfrac{2}{3}~~,~~\cfrac{2}{9}~~,~~\cfrac{2}{81}~~,~~\cfrac{2}{243}[/tex]

so we'd want the sum of the first 5 terms

[tex]\qquad \qquad \textit{sum of a finite geometric sequence} \\\\ \displaystyle S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad \begin{cases} n=\textit{last term's}\\ \qquad position\\ a_1=\textit{first term}\\ r=\textit{common ratio} \end{cases} \\\\\\ S_5=2\left( \cfrac{1~~ - ~~(\frac{1}{3})^5}{1~~ - ~~\frac{1}{3}} \right)\implies S_5=2\left( \cfrac{~~\frac{242}{243}~~}{\frac{2}{3}} \right)\implies S_5=\cfrac{242}{81}\implies S_5=2\frac{80}{81}[/tex]

Answer:

since there are 30 students as a whole and 20 boys make up part of the class, you can assume that there are 10 girls in the class. since the mean mark for boys is 62 I think the mean mark for girls would be 8%

Step-by-step explanation:

Answer:

Domain: -5, -2, 1, 5

Range: 10, 11, 4, 10

To get the function, you need to create an equation.

Step-by-step explanation:

For example, f(x)= 10x. "x" equals your y value, and "10" is where you plug in your range, or in other words, your y-values.