Drag the symbol to complete the solution to this inequality.

Hey there,

Put the equation into the circle equation [ (x - h)² + (y - k)² = r² ].

x² + y² + 4x + 8y = -11

(x² + 4x) + (y² + 8y) = -11

(x + 2)² + (y + 4)² = 9

If that is confusing, you can always rewrite it to show exactly what you need in the circle equation.

(x - (-2))² + (y - (-4))² = 3²

Therefore, using the circle equation we can see that the center is at the point (-2, -4) and the radius is 3.

Best of Luck!

Answer:

[tex] \displaystyle \text{centre} :( - 2, - 4)[/tex]

[tex] \text{redius} : 3[/tex]

Step-by-step explanation:

we are given a circle equation

[tex] \rm \displaystyle {x}^{2} + {y}^{2} + 4x + 8y + 11 = 0[/tex]

we want to figure out the centre and the redious of the circle from the equation notice that the given circle equation is in general form given by

[tex] \rm \displaystyle {x}^{2} + {y}^{2} +A x +B y +C = 0[/tex]

general form of circle equation is a simplified version of standard form. the standard form of circle equation is given by:

[tex] \displaystyle (x - h {)}^{2} + (x - k {)}^{2} = {r}^{2} [/tex]

where:

notice that the there're two completed squares in the standard form therefore we can consider completing square to figure out the centre and the redious

indentifying centre and redious:

rearrange:

[tex] \rm \displaystyle ( {x}^{2} + 4x ) +( {y}^{2} + 8y) + 11 = 0[/tex]

cancel 11 from both sides:

[tex] \rm \displaystyle ( {x}^{2} + 4x ) +( {y}^{2} + 8y) = - 11[/tex]

add 4 to the both sides so that the equality don't affect:

[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y) = -11 + 4[/tex]

simplify addition:

[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y) = - 7[/tex]

once again to complete the square add 16 to both sides which yields:

[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y + 16) = 9[/tex]

complete the squares by using (a+b)²=a²+2ab+b² pattern:

[tex] \rm \displaystyle ( {x}+ 2) ^{2} +( {y} + 4) ^{2} = 9[/tex]

we can still rewrite it to figure out the redious and the centre:

[tex] \rm \displaystyle ( {x} - ( - 2)) ^{2} +( {y} -( - 4) ) ^{2} = {3}^{2} [/tex]

therefore we obtain:

and we are done!

Let m = slope

m = (6 - 4)/(3 - 2)

m = 2/1

m = 2

The slope is 2.

Answer:

-2/1 is the slope for the question

Answer:

A

Step-by-step explanation:

B doesn't sound right

C doesn't either

D is just wrong

Answer:

[tex]56\ \text{km/h}[/tex]

Step-by-step explanation:

[tex]t[/tex] = Time taken = [tex]6\ \text{hours}[/tex]

[tex]d[/tex] = Distance = [tex]336\ \text{km}[/tex]

Average speed is given by

[tex]s=\dfrac{\text{Distance}}{\text{Time}}=\dfrac{d}{t}[/tex]

[tex]\Rightarrow s=\dfrac{336}{6}[/tex]

[tex]\Rightarrow s=56\ \text{km/h}[/tex]

The average speed of the driver is [tex]56\ \text{km/h}[/tex].

First, you multiply 4 by 1. Then that's your answer, 4.  I hope it helped!

Answer:

9.18 cm

Step-by-step explanation:

A  pyramid is a three-dimensional object. The base of a pyramid is a polygon. the top and the base of a polygon forms a triangle.

for a rectangular pyramid, the base is a rectangle  

The volume of a pyramid = 1/3 × (area of the rectangle x height)

Area of a rectangle = length x width

15 x w = 15w cm²

826 = 1/3 x (15w x 18)

multiply both sides of the equation by 3

15w x 18 = 2478

Divide both sides of the equation by 15 x 18

w = 9.18 cm

divide both sides by 10

Answer:

589

Step-by-step explanation:

Answer:

the answer i think is 103 centimeters

Step-by-step explanation:

Answer:

(x-11)^2 + (y-6)^2= 6^2

Step-by-step explanation:

Answer:

(x - 11)² + (y - 6)² = 36

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (11, 6 ) and r = 6, then

(x - 11)² + (y - 6)² = 6² , that is

(x - 11)² + (y - 6)² = 36

Answer:

5.3

Step-by-step explanation:

pythagorean theory :,)

[tex]a^{2} + b^{2} = c^{2}[/tex]

the legs are [tex]a[/tex] and [tex]b[/tex], while the hypotenuse (the longest side) is [tex]c[/tex]

fill in the equation with the information u have and simplify so

[tex]a^{2} + 6^{2} = 8^{2}[/tex]

[tex]a^{2} + 36 = 64[/tex]

now get the variable ([tex]a[/tex]) by itself

[tex]a^{2} + 36 = 64\\[/tex]

(subtract 36 on both sides)

[tex]a^{2} = 28[/tex]

[tex]a = 5.3[/tex]

square root of both sides ≈ 5.3

(you could also multiply the square root of 7 by 2)

Answer:

A. 8

B. 10

C. 8

Step-by-step explanation:

If this helped brainliest would be appreciated!

Answer:

I hope this helps a little bit

Answer:

if she types 50 words per minute it would be 16 minutes for her to get to 800 words

Step-by-step explanation:

Answer:

Step-by-step explanation:

800 divided by 50 = 16

Answer:

f(x) increases by 900% I believe

Step-by-step explanation:

Answer:

increase 900%.....................

Answer:

3

Step-by-step explanation:

Answer:

Option: A

Step-by-step explanation:

Hope it helps you!

Answer:

y=1/2x-3/2

Step-by-step explanation:

m1=-2

m1m2=-1

-2m2=-1

m2=1/2

-1=1/2(1)+b

b=-3/2

y=1/2x-3/2

Answer:

13.6

Step-by-step explanation:

[tex]a^2+b^2=c^2\\4^2+13^2=c^2\\16+169=c^2\\c^2=185\\\sqrt{c^2} =\sqrt{185} \\c=13.6[/tex]

1) d/r = t

2) P/3 = s

3) 8.2cm

4) C/2pi = r

5) P/3r = q

Answer:

angles J and N

Step-by-step explanation:

vertical angles are congruent angles that are vertically across from each other

angle j and angle n are both right angles and they are both vertically across from each other therefore A is your answer

Answer:

5/11

Step-by-step explanation:

I hope this helps a bit.

Answer:

x = 12

Step-by-step explanation:

Given a tangent and a secant from an external point to the circle.

Then the product of the external part of the secant and the entire secant is equal to the square of the measure of the tangent, that is

3x = 6² = 36 ( divide both sides by 3 )

x = 12

Answer:

The three different possible conditions ;

nonalcoholic beer group, 1 beer group, 2 beer group

Step-by-step explanation:

The Independent variable, also known as the predictor variable are variables used to influence and check changes in the dependent or predicted variable as subjects are exposed to the different types or levels of independent variable used in the study.

In the scenario described above, the predictor or independent variables which are used to measure the reaction times of participants to unexpected variables is the independent variable, beacuse these different variables ; nonalcoholic beer, 2 beer will probably affect the response time of the participants which is the dependent variable.

Answer:

234 mm²

Step-by-step explanation:

area of each side = L x W

(15 x 3 x 2) + (15 x 4 x 2) +(3 x 4 x 2) = 234 mm²

The maximum value of a function is the place where a function reaches its highest point, or vertex, on a graph. If your quadratic equation has a negative a term, it will also have a maximum value. There are three ways to find that maximum, depending on which form of a quadratic you have.

HOPE IT HELPS

PLEASE MARK ME BRAINLIEST ☺️

Explanation is in the file

tinyurl.com/wpazsebu

Answer:

A; x< 5

Step-by-step explanation:

A simple way to remember the difference between greater than or less than is picturing the symbol as an alligator, the mouth of the alligator, the open end, eats the bigger number. The line under the greater than/ less than symbol means "or equal to". An open circle on a number line means that it's NOT "or equal to", so the answer isn't B or D. On the number line, it shows what x could equal. The arrow falls on 0, I'll use 0 as an example. Is 0 less than 5? Yes. If x could equal 0, that means that x is less than 5.

Answer:

Step-by-step explanation: