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:

1/9

Step-by-step explanation:

With replacement, we use the principle of multiplication with counting.

[tex]\frac{3redballs}{9total balls} * \frac{3redballs}{9total balls} = \frac{1}{3}* \frac{1}{3} = \frac{1}{9}[/tex]

The probability of selecting two red marbles with replacement is 1/9.

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain to occur.

If we select a marble at random from the bag, there are 3 red marbles out of 9 total marbles. After replacing the marble back in the bag, the probability of selecting another red marble is still 3/9 (assuming the first marble selected was red).

To find the probability of selecting two red marbles with replacement, we need to multiply the probabilities of each event happening.

Therefore, the probability of selecting two red marbles with replacement can be calculated as follows:

P(selecting two red marbles with replacement) = P(selecting a red marble) x P(selecting a red marble given that the first marble was red)

P(selecting two red marbles with replacement) = (3/9) x (3/9)

P(selecting two red marbles with replacement) = 1/9

Therefore, the probability of selecting two red marbles with replacement is 1/9.

To know more about probability follow

https://brainly.com/question/23947318

#SPJ2

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:

x = 30

Step-by-step explanation:

2x - 6

-----------  =  9

    6

2x - 6

-----------  =  9(6)

    6(6)

2x - 6 = 54

     +6    +6

2x = 60

÷2    ÷2

x = 30

I hope this helps!

Answer:

1.7

Step-by-step explanation:

You can use the 30/60/90 triangle rule, but it was quicker for me to do. SIN(60)=b/2. If you want a more in depth explanation just reply to this but I have to go right now so I will do it later.

Answer:

6

Step-by-step explanation:

AX=1/2XY,. BX=1/2WX

=) AB||WY and AB=1/2WY. [Midpoint theorem]

=) 2AB=WY

=) 2×3=WY

=)6=WY

PLA MARK IT AS BRAINLIEST (•‿•)(•‿•)(•‿•)

This works for triangles with a Midline having two of these properties:

The third side of the triangle (the one parallel to its midline) is twice the length of its midline.

The given question above:

ΔWYX

(Midline) AB = 3

YW = ?

Solution:

[tex]\frac{1}{2}[/tex] YW = AB

[tex]\frac{1}{2}[/tex] YW = 3

YW = (2)3

YW = 6

#learnwithbrainly

Answer: The difference between the weight of the cashews and yogurt raisins is 19 grams.

Step-by-step explanation:

205-186 = 19 grams

hope this helps!

i think its a but i may be rong if i am just know i tryed my vary best and that i am super sorry

Answer:

The Ratio is 8:16.

Step-by-step explanation:

Answer:

I thank it is 12 4/5

Step-by-step explanation:

hope this helps if not please let me now and dont worry about  brainliest my main focus is just helping people.

Answer:

Step-by-step explanation:

Given:

To Find:

Solution:

Here given that radius of circle is 11 feet. Using the formula of area of circle we will get the required area of circle

On substituting the required values:

Area = 3.14 × (11)²

Area = 3.14 × 121

Area = 379.94 feet²

Hence,

Answer:

200

Step-by-step explanation:

Answer: By using the distance formula

Step-by-step explanation:

   The distance formula can be used to find the distance between two coordinate points, as given here. They come in the order of (x, y) and you would plug in your values.

Need to solve for the distance?

   Taking the formula, we will plug in the coordinate points given and solve.

    [tex]\displaystyle d = \sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2}}[/tex]

    [tex]\displaystyle d = \sqrt{(1.25--2.5)^{2} +(4.5-4.5)^{2}}[/tex]

    [tex]\displaystyle d = \sqrt{(1.25+2.5)^{2} }[/tex]

    [tex]\displaystyle d = \sqrt{(3.75)^{2} }[/tex]

    [tex]\displaystyle d =3.75[/tex] units

Answer:

angle CAB and angle BCA

Step-by-step explanation:

Hope this helps! Have a great day!!

Answer:

100 cubic centimetres

Step-by-step explanation:

Volume of Cone = 1/3 pie r^2 h

= 1/3 × 3.14 × 4 × 4 × 7

= 117.226

= 100 cubic centimetres ( nearest hundredth)

Answer:

substitution or elimination

Answer:

(03,)(4,4(4,6),(5,10)

Step-by-step explanation:

I’m smart I have an A + so it’s correct

The apothem, perimeter, and area of the hexagon are 13.86 inches, 96 inches, and 665.11 square inches respectively.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

A regular hexagon has side lengths of 16 inches. the radius is 16 inches.

The length of the apothem (h) of the hexagon is about inches.

[tex]\rm h = 16\times \sin 60^o\\\\h = 13.8564 \approx 13.86 \ inches[/tex]

The perimeter of the hexagon is inches.

[tex]\rm Perimeter = 6 \times 16\\\\Perimeter = 96\ inches[/tex]

The area of the hexagon is about square inches.

[tex]\rm Area = 6 \times \dfrac{1}{2} \times 13.86 \times 16\\\\Area = 665.1075 \approx 665.11 \ inches^2[/tex]

More about the polygon link is given below.

https://brainly.com/question/17756657

Answer:

Step-by-step explanation:

The length of the apothem of the hexagon is about

✔ 13.9

inches.

The perimeter of the hexagon is

✔ 96.0

inches.

The area of the hexagon is about

✔ 667.2

square inches.

Answer: The unit rate is 1/3

Step-by-step explanation:

The slope of the line, which also represents the unit rate, is 1/3.

answer

14.7

step by step explanation

[tex]using \: tan73 = \frac{opposite}{adjacent} \\ tan73 = \frac{48}{x} \\ 3.271 = \frac{48}{x} \\ making \: x \: the \: subject \\ x = \frac{48}{3.271} \\ x = 14.674 \\ x = 14.7 \: (approximately)[/tex]

Answer:

The word or is used in probability to denote that you are computing the chance that either event A or event B occurred; both events do not have to occur. When you employ the word and, you're implying that both A and B must occur.

In Conclusion:

If either one or both of them occur, the condition is fulfilled, and the probabilities are added.

The condition is satisfied if and only if both of them occur, and the probabilities are increased.

Answer:

 29/4 or 7.25

Step-by-step explanation:

Simply divide by 4 to isolate and solve for the x-term:

[tex]x=29/4[/tex] or 7.25

[tex]\log_{10} (3y+2) - 1 = \log_{10}(y-4)\\\\\implies \log_{10} (3y+2) - \log_{10} 10 = \log_{10} (y-4)\\\\\implies \log_{10} \left( \dfrac{3y+2}{10} \right) = \log_{10} (y-4)\\\\\implies \dfrac{3y+2}{10} = y-4\\\\\implies 3y+2 = 10y-40\\\\\implies 10y-3y = 40+2\\\\\implies 7y = 42\\\\\implies y = \dfrac{42}7\\\\\implies y = 6[/tex]

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

To solve for z, isolate it on one side of the equation.

First, multiply by -1 from both sides.

⇒ (-5z)(-1)<10(-1)

Solve.

Multiply the numbers from left to right.

⇒ 10(-1)=(-10)

Rewrite the problem down.

⇒ 5z<-10

Then, you divide by 5 from both sides.

⇒ 5z/5<-10/5

Solve.

Divide the numbers from left to right.

⇒ -10/5=-2

[tex]\boxed{\sf{z < -2}}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

z > -2

Step-by-step explanation:

Given inequality: -5z > 10

To determine the simplified inequality, we need to isolate "z". Divide -5 both sides to isolate the variable "z".

⇒ -5z > 10

⇒ -5z/-5 > 10/-5

Always remember that if you are dividing by a negative number, the inequality sign flips over.

⇒ z < -2

Thus, the simplified inequality is z < -2.

Answer:

Check out the attached photo it might help

Answer: D

Step-by-step explanation: