The beginning steps for determining the center and radius of a circle using the completing the square method are shown in the table.

Step 1
[original equation]: x2 + 8x + y2 − 6y = 11
Step 2
[group like terms]: (x2 + 8x) + (y2 − 6y) = 11
Step 3
[complete the square]:

Which of the following is the correct equation for Step 3? (1 point)
(x2 + 8x + 16) + (y2 − 6y − 9) = 11 + 16 − 9
(x2 + 8x + 16) + (y2 − 6y + 9) = 11 + 16 + 9
(x2 + 8x + 4) + (y2 − 6y − 3) = 11 + 4 − 3
(x2 + 8x + 4) + (y2 − 6y + 3) = 11 + 4 + 3

Answer: 2/21

Step-by-step explanation:

6/63= 2/21

Answer:

B. 12

Step-by-step explanation:

Edges are the straight lines

Answer:

I do know what that is saying it's saying the rise of the line is going to be -6 and the run is going to be 2.

Step-by-step explanation:

Your supposed to graph a line I don't exactly remember how to do it but yeah you're supposed to graph the line.

Using it's concept, it is found that the probability of randomly choosing a number either divisible by 5 or divisible by 3 is given by:

B) 7/16

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

Hence the probability is given by:

p = 14/32 = 7/16.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

Answer:465

Step-by-step explanation:

Answer: the answer is d) several players have asthma .

243+222=465

Step-by-step explanation:

which is true because players do have asthma and ii also took the test and made a 100 .

Regular polygons have equal sides

Irregular polygons have unequal sides

Answer:

regular polygons have sides and interior angles that are the same and irregular polygons have sides and interior angles that are different

Step-by-step explanation:

Answer:

y = [tex]\frac{9}{13}x + 7[/tex]

Step-by-step explanation:

Slope (m):

34 - (-11)/39 - (-26) = 45/65 = 9/13

y-intercept (b):
34 = (9/13)39 + b

7 = b

the equation is:

y = (9/13)x +  7

Answer:

y > 1/3x - 5/3

x-3y < 5

Step-by-step explanation:

We simplify x-3y=5, to y = 1/3x - 5/3

We notice the boundary line is dotted, we know the inequality must be < or > rather than ≤ or ≥.

The shading is above the line which indicates that in y-intercept form we must use >.

y > 1/3x - 5/3

or x-3y < 5

Either of these show the exact same thing.

Answer:

0.444

Step-by-step explanation:

im a bit confused with the anwser choices, so just pick which ever one contains states 0.444 as it's answer choice.

hope this helps :)

Answer:

0.444

Step-by-step explanation:

1.) A rational number in the form of a fraction can be represented as a decimal by dividing the numerator by the denominator.

2.) Now let's divide 111.000000... by 250. Find enough decimal digits in the numerator so we can see whether the decimal terminates or starts to repeat. [tex]111/250 = .444[/tex]. Since the remainder is 000, this is a terminating decimal.

3.) The terminating decimal is [tex]\frac{111}{250} = 0.444.[/tex]

Answer:

A

Step-by-step explanation:

16 × 2 = 32

20 × 2 = 40

hshsjbdjidjeje

Answer:

31.6m

Step-by-step explanation:

First, find area of the vessel [ (πr2h)/3 ]

Radius = 5.2/2= 2.6

Using Pythagorean theorem, find the height of the cone:

[tex]\sqrt{6.8^{2} -5.2^{2} }[/tex] = 4.38

Area of vessel = [tex]\frac{ (PI * 2.6 * 2 * 4.38)}{3}[/tex] =  56.88 [tex]cm^{3}[/tex]

Do cross multiplication using ratios:

1.8      =    1

56.88 =   [tex]x[/tex]

[tex]\frac{56.88}{1.8}[/tex]= 31.6

x=12

.................

The typical Orlando electric bill would be $138.66, which would be $17.21 more than the national average option (a) is correct.

It is given that the national average utility cost is $270.48 per month. if the average electric bill is 44.9% of the total amount and the average utility cost for Orlando, fl is $308.83.

It is required to find the cost of a typical Orlando electric bill and how would that compare with the national average.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

We have:

Average utility cost = $270.48

Average electric bill = 44.9%

Average utility cost without electric bill = [tex]270.48\times \frac{44.9}{100}[/tex]

= $121.44

Typical orlando electric bill = [tex]308.83\times \frac{44.9}{100}[/tex]

= $138.66

Now,

=$138.66 - $121.44

= $17.22

Thus, the typical Orlando electric bill would be $138.66, which would be $17.21 more than the national average option (a) is correct.

Learn more about the average here:

https://brainly.com/question/24057012

Answer:

options c

trapezoid

saw a four sided figure. It had one pair of congruent sides that were not parallel. It also had one pair of parallel lines.

saw a four sided figure. It had one pair of congruent sides that were not parallel. It also had one pair of parallel lines.What shape has Chase described?

Answer:

increase to 38 and have the unused ones in for maintenance

Answer:

D [-1,3] and R [5,27]

Step-by-step explanation:

I explained the process of finding the domain and range in your previous questions therefore I will only give you the answer for this one.

D [-1,3] or [tex]-1\leq x\leq 3[/tex]

R [5,27] or [tex]5\leq y\leq 27[/tex]

Answer:

C is the correct answer.

Step-by-step explanation:

You're trying to find a true statement about the point (1,7)

A. To plot the ordered pair (1 , 7), travel seven units to the right on the x-axis and one unit up on the y-axis, from the origin.

B. To plot the ordered pair (1 , 7), travel one unit to the right on the y-axis and seven units up on the x-axis, from the origin.

C. To plot the ordered pair (1 , 7), travel one unit to the right on the x-axis and seven units up on the y-axis, from the origin.

D. To plot the ordered pair (1 , 7), travel seven unit to the right on the y-axis and one units up on the x-axis, from the origin.

_____________________________________________________
Solving:

A is incorrect because it shows the point (7,1).

D is incorrect because that isn't the proper way to graph a coordinate.

B is incorrect because it says travel one unit to the right on the y axis which is the incorrect axis to graph the point (1,7).

C is your correct answer because you need to move 1 unit to the right on the x-axis to get to the coordinate (1,0). Then, you need to go 7 units up on the y-axis to reach (1,7).

Answer:

the mean is 46.

Step-by-step explanation:

The total is 460 and divided by the amount of numbers(10) is 46.

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

Here we go ~

[tex]\qquad \tt \dashrightarrow \: \sin(x) = 0.6[/tex]

[tex]\qquad \tt \dashrightarrow \: \sin(x) = \dfrac{6}{10} [/tex]

[tex]\qquad \tt \dashrightarrow \: \sin(x) = \dfrac{3}{5} [/tex]

[tex]\qquad \tt \dashrightarrow \:x = \sin {}^{ - 1} ( \dfrac{3}{5} ) [/tex]

[tex]\qquad \tt \dashrightarrow \:x = 37 \degree[/tex]

Now, since we have to find the value of x in quadrant 2, we have to subtract the given value from 180°

that is :

[tex]\qquad \tt \dashrightarrow \:x = 180 - 37[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 143 \degree[/tex]

Answer:

none of those answers are correct unless u mean 5 and 3/4

Step-by-step explanation:

Considering the table given, the constant of proportionality of the proportional relationship is of k = 0.8.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

Researching the problem on the internet, the set of values is as follows: (4,5), (8,10), (12,15), ...

Hence the constant is given by k = 4/5 = 8/10 = 12/15 = ... = 0.8.

More can be learned about proportional relationships at https://brainly.com/question/10424180

The pounds of tomatoes and the pints of tomato juice illustrates a proportional table

The constant of proportionality of the table is 1.25

From the complete question, we have the following value

(x,y) = (4,5)

The constant of proportionality for a proportional table is calculated using:

y = kx

Make k the subject

k = y/x

So, we have:

k = 5/4

Evaluate

k = 1.25

Hence, the constant of proportionality of the table is 1.25

Read more about constant of proportionality at:

https://brainly.com/question/1835116

Answer:

27

Step-by-step explanation:

These shapes are mathematically similar as line BR and QC are parallel.

To find the scale factor:

First we find the length of BD by adding 26 and 39:

26+39 = 65

So to get from BD to BQ :

We multiply by :

26/65 = 0.4

So to get from RD to CD:

We do

18÷0.4 = 45

Then we subtract 18 from 45 to get x:

45-18 = 27

Therefore the value of x is 27

can't really see the graph but it's probably 18

Answer:

D.

Step-by-step explanation:

REarranging the fromula:

F  = m . a

M is  in grams and acceleration is in meters / second squared

grams . metres per second squared.

Answer:

D) grams · meters per second squared

Step-by-step explanation:

[tex]\sf a=\dfrac{F}{m} \implies F=ma[/tex]

If a has units of  [tex]\sf ms^{-2}[/tex]

If m has units of [tex]\sf g[/tex]

Then as F is the product of m and a, then

F has units of [tex]\sf g \cdot ms^{-2}=gms^{-2}[/tex]

Answer:

Step-by-step explanation:

x is the adjacent side of 30°

Hypotenuse = 22

[tex]Cos \ 30^ \circ = \dfrac{adjacent \ side}{hypotenuse}\\\\\\0.866 = \dfrac{x}{22}\\\\\\0.866*22 = x\\[/tex]

x = 19.1

Answer:

cosθ=Adjacent/ hypotenuse

[tex] \cos(30) = \frac{x}{22} \\ \\ \frac{ \sqrt{3} }{2} = \frac{x}{22} \\ \\ 2x = 22 \sqrt{3} \\ \\ x = \frac{22 \sqrt{3} }{2} \\ \\ x = 11 \sqrt{3} = 19.05 = 19.1[/tex]

Answer:

B. the area of a rectangle with side lengths 1.40 and x

Step-by-step explanation:

To find the area of a rectangle, multiply the length by the width.

If 1.40 is the length, x is the width.

1.40×x=1.40x

So B is the correct answer.