Jorge wants to order tickets online so that he and 4 of his friends can go together to a movie. The cost of the tickets is $12.00 per person. The website also charges a transaction fee of $2.75 for the tickets online. Write an expression in terms of m that represents the cost of ordering m tickets online. Now use your expression to find the total cost of ordering 5 movie tickets show your work.​

Answers

Answer 1

Answer:

Step-by-step explanation:

The expression in terms of m is 12m + 2.75.

To find the total cost of ordering 5 movie tickets, we plug in 5 for m: 12(5) + 2.75 = 62.75.


Related Questions

pedro bought 4 pounds of chopped meat for a barbecue party. he plans to make 1/5 pound burgers for his guests. how many guests can he feed?

Answers

Answer:

20

Step-by-step explanation:

4 ÷ 1/5  Multiply by the reciprocal (turn the fraction upside down)

4 x 5 = 20

Match each rational expression to its simplest form.
2m²
2(m-2)
m².. 2m.t.d
1
m²-3m +2
m
926
06
M
774
m²-m-2

Answers

The simplification of rational expressions can be achieved by using the Greatest Common Factor (GCF).

How do you write a rational expression in simplest form?

Take the common terms in the numerator and denominator and remove them from the expression to make it simpler.

The simplification of rational expressions can be achieved by using the Greatest Common Factor (GCF).Similar to fractions with variables in the denominators, rational expressions appear like them (and often numerators too).

For instance, the expression x 2 x + 3 is a rational expression: x squared, divided by x, plus 3, end fraction.

1)2m^2-4m)/2(m-2)

=[2m(m-2m)]/2(m-2)

= 2m/2

=m

2)m^2-2m+1/m-1

= (m-1)^2/(m-1)

=(m-1)(m-1)/(m-1)

=(m-1)

3)m^2-3m+2/m^2-m

=m^2-m-2m+2/m(m-1)

=m(m-1)-2(m-1)/m(m-1)

= (m-1)(m-2)/m(m-1)

=(m-2)/m

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What is the quotient?

Answers

1.
MATHEMATICS
a result obtained by dividing one quantity by another.
2.
a degree or amount of a specified quality or characteristic.
"the increase in Washington's cynicism quotient"

Question 4(Multiple Choice Worth 2 points)
(Solving One-Step Equations with Rational Numbers LC)
17
Determine the value for j in the equation =j+
+1 2010
30
19
30

Answers

The value of j by solving with one-step equation solution method will be of the option C i.e. 2/30.

What are one-step equations?

A one-step equation is an algebraic equation you can solve in only one step. Once you've solved it, you've found the value of the variable that makes the equation true.

To solve one-step equations, we do the inverse (opposite) of whatever operation is being performed on the variable, so we get the variable by itself. The inverse operations are:

Addition and subtraction

Multiplication and division

The most important thing to remember is that whatever you do to one side of the equation, you have to do the same thing to the other side.

Now,

given that,

19/30=j+17/30

To find j, subtract 17/30 from both side,  (Using one-step equation method)

19/30-17/30=j+17/30-17/30

2/30=j

Hence, the value of j will be 2/30.

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Form a polynomial whose real zeros and degrees are given
Zeros: -2, 0, 7
Degree: 3
Type a polynomial with integer coefficients and a leading coefficient of 1
f(x)= ?

Answers

Given ,

[tex]\bold\red{zeroes \: of \: a \: cubic \: polynomial \: are \: - 2 \:, \: 0 \: and \: 7} \\ [/tex]

[tex]let \:, \\ \boxed{\alpha \: = - 2} \\ \boxed{\beta \: = 0} \\ \boxed{\gamma \: = 7} [/tex]

Now ,

[tex]sum \: of \: zeroes \: = \alpha \: + \: \beta \: + \: \gamma \: \\ \dashrightarrow \: sum = - 2 + 0 + 7 = \underline{5} \\ \\ sum \: of \: product \: of \: zeroes \: taken \: two \: at \: a \: time \: = \alpha\beta \: + \beta\gamma \: + \: \alpha\gamma \\ \dashrightarrow \: ( - 2)(0) \: + \: (0)(7) \: + \: (7)( - 2) \: = \: \underline{ - 14} \\ \\ product \: of \: zeroes \: = \: \alpha\beta\gamma \\ \dashrightarrow \: ( - 2)(0)(7) = \underline{0}[/tex]

We know that ,

[tex] \boxed{cubic \: polynomial \: = {x}^{3} - (\alpha \: + \: \beta \: + \: \gamma \:) \:{x}^{2} + (\alpha\beta \: + \: \beta\gamma \: + \: \alpha\gamma) \:x \: - \: \alpha\beta\gamma} [/tex]

Plugging in the values , we get

[tex]\boxed{f(x) = {x}^{3} - 5 {x}^{2} - 14x + 0}[/tex]

since this polynomial has degree 3 , it is called a cubic polynomial.

hope helpful! :)

NEED THIS ASAP ILL GIVE BRAINLY

What is the value of z in this triangle?

Enter your answer in the box.

Answers

Answer: z=23

Step-by-step explanation:

Since the sum of all interior angles of a triangle is 180, let's use that to solve this problem.

First, let's set up an equation.

z+62+95=180

Next step is to simplify the left side of the equation, which leaves us with:

z+157=180

Lastly, subtract 157 from both sides of the equation and we get the final answer:

z = 23

What are the coordinates of the circumcenter of a triangle with vertices A(0,1), B(2, 1), and C(2, 5)

Answers

The coordinates of the circumcenter of a triangle with vertices A(0,1),

B(2, 1) , and C(2, 5)  is (1,3).

What is circumcenter of triangle?

The point at which the perpendicular bisectors of a triangle's sides come together is known as the circumcenter of that triangle. The circumcenter is, in other words, the point at which the bisector of a triangle's sides coincides. P serves to indicate it (X, Y).

Given:  A triangle with vertices A(0,1), B(2, 1) , and C(2, 5).

Using distance formula:

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

AB = 2 units

BC = 4 units

AC = √20 units

The midpoint of AC:

[tex]= (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )\\= (\frac{2+0}{2}, \frac{5+1}{2}) \\= (\frac{2}{2} , \frac{6}{2})\\ = (1, 3)[/tex]

The midpoint of AC is (1, 3).

Hence, The coordinates of the circumcenter of a triangle with vertices A(0,1),  B(2, 1) , and C(2, 5)  is (1,3).

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!!!!GIVING EXTRA BRAINLIST!!!!
Use the area model to multiply(½f-49).
First, find the partial products. Write numbers as integers, decimals, or simplified proper or
improper fractions.
38
f
BE
Now, write the product.
-4g
Video

Answers

Answer:

[tex]\frac{3}{16}[/tex] f - [tex]\frac{3}{2}[/tex] g

Step-by-step explanation:

[tex]\frac{3}{8}[/tex] ( [tex]\frac{1}{2}[/tex] f - 4g )

multiplying each of the terms inside the parenthesis by [tex]\frac{3}{8}[/tex]

[tex]\frac{3}{8}[/tex] × [tex]\frac{1}{2}[/tex] f

= [tex]\frac{3(1)}{8(2)}[/tex] f

= [tex]\frac{3}{16}[/tex] f

and

[tex]\frac{3}{8}[/tex] × - 4g ( cancel 4 and 8 by 4 )

= [tex]\frac{3}{2}[/tex] × - g

= - [tex]\frac{3}{2}[/tex] g

combining the 2 products, gives

[tex]\frac{3}{16}[/tex] f - [tex]\frac{3}{2}[/tex] g

Answer:

[tex]\textsf{Orange partial product}=\dfrac{3}{16}\;f[/tex]

[tex]\textsf{Pink partial product}=-\dfrac{3}{2} \;g[/tex]

[tex]\textsf{Product}=\dfrac{3}{16}\;f-\dfrac{3}{2} \;g[/tex]

Step-by-step explanation:

Given expression:

[tex]\dfrac{3}{8}\left(\dfrac{1}{2}f-4g\right)[/tex]

Calculate the partial products then add these together to find the product of the given expression.

Orange partial product

[tex]\implies \dfrac{3}{8} \times \dfrac{1}{2}f[/tex]

[tex]\implies \dfrac{3 \times 1}{8\times 2}\;f[/tex]

[tex]\implies \dfrac{3}{16}\;f[/tex]

Pink partial product

[tex]\implies \dfrac{3}{8} \times (-4g)[/tex]

[tex]\implies \dfrac{3 \times -4}{8} \;g[/tex]

[tex]\implies \dfrac{-12}{8} \;g[/tex]

[tex]\implies -\dfrac{\diagup\!\!\!\!4 \times 3}{\diagup\!\!\!\!4 \times 2} \;g[/tex]

[tex]\implies -\dfrac{3}{2} \;g[/tex]

Product:

[tex]\implies \dfrac{3}{8}\left(\dfrac{1}{2}f-4g\right)=\dfrac{3}{16}\;f-\dfrac{3}{2} \;g[/tex]

The difference of twice a number and 9 is at least -25.

Answers

Answer:

x≥-8

Step-by-step explanation:

Because we don't know the first number mentioned, we can name it as x

Since the problem starts off with "twice a number" so we mark it as 2x and then it states to take the difference of that number and 9. So the new problem we have is 2x-9=?. Now, the answer that we have is at least -25, so the answer is no longer an equal sign, but a greater-than or equal-to sign. Making our new equation 2x-9≥-25. Now we can act as if its a normal equation, adding 9 to both sides making it 2x≥-16, divide both sides by 2 to get x≥-8.

An extra step to ensure our answer is more than or equal to -8 is by plugging in -8 AND another number that is more than -8. 2(-8)-9=? which we would find that ? is -25. A number that is greater than -8 could be -1, which we would test by doing 2(-1)-9=?. ? would be equal to -11 so we know that our final answer of x≥-8 is correct.

Angle addition postulate

Answers

Answer:

the sum of two adjacent angle measures will equal the angle measure of the larger angle that they form together

Step-by-step explanation:

angle addition postulate formula is ∠AOB + ∠BOC = ∠AOC

Solve the system of equations using substitution.

Answers

Answer: Choice A.   (-4, -13)

=================================================

Work Shown:

Plug the first equation into the second equation.

2x - y = 5

2x - (3x-1) = 5

2x - 3x+1 = 5

-x+1 = 5

-x = 5-1

-x = 4

x = -4

Use this to find the value of y.

y = 3x-1

y = 3*(-4)-1

y = -12-1

y = -13

The solution is (x,y) = (-4,-13)

This points to    choice A    as the final answer.

You can use graphing software like Desmos or GeoGebra to confirm that the two lines intersect at (-4,-13).

suppose you have three different positive numbers arranged in order from least to greatest. what single comparion will let you see if the numbers can be the lengths of the sides of a triangle

Answers

Find the difference between the two lower numbers. If the total is more than the greatest integer, the three numbers can represent the lengths of the triangle's sides.

What is triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane. Triangles are three-sided polygons with three vertices. The angles of the triangle are formed by connecting the three sides end to end at a point. The total of the triangle's three angles equals 180 degrees.

Here,

Find the sum of the two smaller numbers. If the aggregate is more than the greatest number, the three numbers can represent the lengths of the sides of a triangle.

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Supplementary angles are two angles that have measures with a sum of 180°. Angles 1 and 2 are supplementary and the measure of angle 2 is 3° more than twice the measure of angle 1.







Write a system of equations and use substitution to find the measures of angles 1 and 2.

100 characters remaining

Answers

Answer:

Step-by-step explanation:

180 total

180-3=177

ratio of angle 1 to angle 2:

2:1

we need to divide 177 by 3 since there are 3 parts in the ratio above

177/3=59

angle 1 = 59x2=118

angle 1=118 degrees

angle 2=59+3=62

angle 2 =62 degrees

we can check by adding 62 and 118

62+118=180

Geometry
Write a paragraph proof for the following:
Given: ∠3 and ∠2 are complementary; m∠1 + m∠2 = 90
Prove: ∠3 is congruent to ∠1
Plan: First show that ∠1 and ∠2 are complementary. Then show that ∠3 is congruent to ∠1 because they are complementary to the same angle 2.

Answers

∠3 is congruent to ∠1. Hence, proved.

What are complementary angles?

Two angles are said to be complementary angles if they add up to 90 degrees. In other words, when complementary angles are put together, they form a right angle (90 degrees).

Given that, ∠3 and ∠2 are complementary; m∠2 + m∠3 = 90°---------(I)

From the given figure,

m∠1 + m∠2 = 90°---------(II)

From the given equation (I) and (II), we get

m∠1 + m∠2=m∠2 + m∠3

m∠1 ≅ m∠3

Hence, proved.

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An ordinary (fair) die i a cube with the number 1 through 6 on the ide (repreented by painted pot). Imagine that uch a die i rolled twice in ucceion and that the face value of the two roll are added together. Thi um i recorded a the outcome of a ingle trial of a random experiment. Compute the probability of each of the following event. Event : The um i greater than 6. Event : The um i diviible by 5 or 6 (or both)

Answers

The required values of the events are P(Sum > 5) = 0.72 , P (sum is even) = 0.5.

What is Probability?

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

According to question:

We have,

According to empirical or relative frequency probability, probabilities are determined by dividing the total number of potential outcomes of an experiment by the number of ways an event could occur.

There are a total of 36 possible results when a fair die is rolled twice consecutively, which is

(1,1), (1, 2), (1,3), (1,4), (1, 5), (1, 6)

(2,1), (2, 2), (2, 3), (2,4), (2,5), (2,6)

(3, 1), (3,2), (3, 3), (3, 4), (3, 5), (3, 6)

(4, 1), (4,2), (4,3), (4, 4), (4, 5), (4, 6)

(5, 1),(5, 2), (5, 3), (5,4), (5,5), (5, 6)

(6,1), (6, 2), (6,3), (6,4), (6,5), (6,6)

Event A: The total exceeds 5. We find 26 numbers in the table that are bigger than 5, so

P(A) = P(Sum > 5) = 0.72 Event

B: The results of the total are even from the table are 18

P(B) = P (sum is even) = 0.5

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You are going to use an incline plane to lift a heavy object to the top of a shelving unit with a height of 5 ft. The base of the incline plane is 14 ft
from the shelving unit. What is the length of the incline plane?

Answers

an incline plane to lift a heavy object to the top of a shelving unit with a height of 5 ft. The base of the incline plane is 221 ft from the shelving unit

How does the length of the inclined plane affect its slope?A ramp or inclined plane, which is a flat support surface tilted at an angle from vertical with one end higher than the other, is used to help raise or reduce a weight.This implies that as the plane lengthens, the task will become easier in terms of force, but the distance will always need to adjust proportionally. This is due to the fact that the angle of elevation of the ramp lowers as length increases. The Pythagorean Theorem is used to compute the slope length, where rise and run are the vertical and horizontal distances, respectively: [tex]rise^{2} + run^{2} =slope length^{2}[/tex]The inclination plane is long, measuring [tex]5^{2} +14^{2} =221ft^{2}[/tex] .

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X^2 + _x + 100
Find all possible values for the missing number that make the expression the square of a binomial.

Answers

Answer: The expression X^2 + _x + 100 is the square of a binomial if the missing number is -b/2 and b^2 - 4ac = 0.

Step-by-step explanation: The general form of the square of a binomial is (x + b)^2 = x^2 + 2bx + b^2.

In this case, the missing number is -b/2, and the expression becomes X^2 - x + 100.

Now to find the value of x, we can use the equation b^2 - 4ac = 0

The equation becomes x^2 - 41100 = 0

Which gives x^2 - 400 = 0

So x = ± 20.

So the possible values for the missing number that make the expression the square of a binomial is -20/2 = -10 and 10.

Answer:

To find the missing number in the given expression, we will see the operation used. Step 1: Recall the concept of addition. We need to find the first addend. Step 2: Think of the number which when added to 3 gives the sum equal to 8. Step 3: 5 + 3 = 8. So, the missing number is 5. Step 4: Write the missing number: 5 + 3 = 8.

Step-by-step explanation:

bc pills are about 99% effective in perfect use, about how effective are they in typical use (because people may forget to take them at the same time every day and other reasons due to human error)?

Answers

The tablet is 99% effective if used correctly.

However, since individuals make mistakes and it's easy to forget or overlook pills, the actual effectiveness of the pill is only about 93%. Accordingly, 7 out of every 100 women who take pills annually become pregnant.

Depending on the type of pills you're utilizing and when you start taking them. The birth control pill can be started on any day of the month. However, for up to 7 days, you might need to use a backup birth control method, such as condoms, depending on when you start and the type of pill you're taking.

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. If the angle of elevation of the top of a tower from a point of observation
at a distance of 100 m from its base is 45°, then the height of the tower is

Answers

Answer:

Step-by-step explanation:

Distance between top of the tower and point of observation = 100 meters
Angle of Elevation = 45 degrees

Let's draw a right angle triangle with the following specifications.

tan(45 degrees) = x/100

tan(45 degrees) = 1

100(1) = x

x =  100 meters

The height of the tower is 100 meters.

Ted runs a coffee-distributing company with monthly fixed costs of $3600. he also spends $1.50 for each 16 ounce bag of coffee that he sells (%). during the month of september, his total costs were $12,000. which of the
following equations represent his total september costs? select all that apply.
3600 1.50x 12,000
1.50(2400x12,000
1.50(3600+) 12,000
3601.50 x 12.000
1.50 + 3600x12,000
(3600+ 1.50) x 12.000

Answers

The correct equations to represent Ted's total September costs are: (3600+ 1.50) x 12.000 1.50(3600+) 12,000.

What is cost?

Cost is the total expenditure or loss incurred in the production, acquisition, or use of a product or service. It can be calculated as the sum of fixed costs (such as rent and labor costs) plus variable costs (such as materials and energy). Cost can be expressed both in monetary terms (such as dollars or euros) or in terms of resources (such as time or effort). In business, cost is a crucial factor for determining profitability and should be taken into consideration when making decisions about production, sales, and pricing strategies.
The first equation calculates the cost of the fixed monthly costs plus the cost of the 16 ounce bags of coffee multiplied by the total number of bags sold. The second equation calculates the cost of the 16 ounce bags of coffee multiplied by the fixed monthly costs plus the total number of bags sold.

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The hypothesis becomes the basis of
what?
A. as atistical analysis
B. the data to interpret
C. alw
4
D. the experiment

Answers

Answer:

D. the experiment

Step-by-step explanation:

The hypothesis becomes the basis of the experiment.

You need to get to the mall to buy some new shoes, but you're not sure how to get there. Your city is a nxm rectangular grid of blocks, where you home is located at the coordinates (x1, y1) and the mall's location is (x2, y2).

Answers

To get to the mall, you'll need to find the shortest path from your home to the mall.

The Manhattan Distance formula is an efficient way to calculate the shortest path between two points on a rectangular grid. The formula is as follows:

MD = |x1-x2| + |y1-y2|

Where MD is the Manhattan Distance, x1 and y1 are the coordinates of your home, and x2 and y2 are the coordinates of the mall.

To find the shortest path, simply plug in the coordinates for your home and the mall into the formula and calculate the Manhattan Distance. The result is the shortest number of blocks you need to travel to get to the mall.

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The table shows the distance why in meters that a person runs an ex seconds graph the line that passes through the points in a table then write an equation that represents the line (1,4.5),(2,9),(3,13.5).

Answers

Answer is 3 because it shows 1+2

HELP ASAP PLEASE !!!!!!

Answers

If a translation of (x,y) → (x+6,y-10) is applied to figure ABCD, the coordinates of D are (1,-12).

What is translation?

A translation in mathematics does not turn a shape; instead, it moves it left, right, up, or down. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes.

The points of the original image is -

A(-3,4), B(3,4), C(1,-2), D(-5,-2)

The translation of (x,y) → (x+6,y-10) is applied -

A(-3,4) = (-3+6,4-10) = (3,-6)

B(3,4) =  (3+6,4-10) = (9,-6)

C(1,-2) = (1+6,-2-10) = (7,-12)

D(-5,-2) = (-5+6,-2-10) = (1,-12)

Therefore, the new points are -

A'(3,-6), B'(9,-6), C'(7,-12) and D'(1,-12).

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HELP ME AND ILL MARK U BRAINIEST​

Answers

Answer:

D= dependent. T= independent

Step-by-step explanation:

I would say this bc the total distance depends on the amount of time he ran

d is distance

t is time (how long he ran)

Your team scores 10 points in the first game, 3 points in the second game, 2 points in the third game, 5 points in the fourth game, and 0 points in the fifth game. What was the mean number of points your team scored for all 5 games?

Answers

The mean number of points for all 5 games is 4 points.

What is arithmetic mean?

The arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean.

The formula for the mean of a given set of data is as follows:

Mean = Sum of Observations/Total number of observations

As per the question,

Here, n = 5

⇒ ∑x = Sum of Observations

⇒ ∑x = 10 + 3 + 2 + 5 + 0 = 20

Mean = ∑x/n

Mean = 20/5

Mean = 4

Hence, the mean of the given data is 4.

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How many and what type of solutions does 4x² 12x 9 0 have?

Answers

The equation [tex]4x^2+12x+9=0[/tex] has only one solution, and the type of solution is rational.

Finding the value of the given equation's unknown variables is a step in the equation-solving process. The value of the variable satisfies the requirement that the two expressions are equal. When a linear equation has one variable, there is only one solution; when there are two variables, there are two solutions. A quadratic equation's solution yields two roots. To solve an equation, a variety of techniques and steps are used. Let's go over each method for solving an equation in detail one by one.

Here steps for solving an equation are given below.

[tex]4x^2+12x+9=0\\4x^2+6x+6x+9=0\\2x(2x+3)+3(2x+3)=0\\(2x+3)(2x+3)=0\\2x=-3\\x=\frac{-3}{2}[/tex]

Here both solutions are same so the equation [tex]4x^2+12x+9=0[/tex] has only one solution and the type of solution is a rational solution.

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The quadratic regression equation y = –0.1x2 + 143.99x – 13,242.84 models expected company profits in terms of the number of pairs of shoes sold.

Based on the regression equation, approximately how much profit can the company expect if it sells 400 pairs of shoes?

$28,400
$41,600
$44,300
$60,400

Answers

The approximate profit can the company expect if it sells 400 pairs of shoes will be 28,400. Then the correct option is A.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The quadratic regression equation y = –0.1x² + 143.99x – 13,242.84 models expected company profits in terms of the number of pairs of shoes sold.

The profit can the company expect if it sells 400 pairs of shoes will be given as,

y = –0.1(400)² + 143.99(400) – 13,242.84

y = – 16,000 + 57,596 – 13,242.84

y = 28,354

y ≈ 28,400

The approximate profit can the company expect if it sells 400 pairs of shoes will be 28,400. Then the correct option is A.

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what is the procedure for completing the square to find the center and radius of a circle?

Answers

By completing squares in both the variables and try to get the general equation of the form:

(x - a)^2 + (y - b)^2 = R^2

How is the procedure to identify the center and radius of the circle?

A general circle equation for a circle whose center is (a, b) and the radius is R, is:

(x - a)^2 + (y - b)^2 = R^2

So, if we have an equation like:

x^2 + cx + d + y^2 + h*y + l = m

We just need to complete squares in both x and y, such that we end with an equation of the form of:

(x - a)^2 + (y - b)^2 = R^2

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Graph the system of equations 8x+8y=64 2x-2y=-4

Answers

To graph a system of equations, you can first solve each equation for y, and then plot the solutions on the same coordinate plane.

For the first equation, 8x + 8y = 64, we can solve for y by subtracting 8x from both sides, which gives us 8y = 64 - 8x. Then we divide both sides by 8 to get y = (64 - 8x)/8.

For the second equation, 2x - 2y = -4, we can solve for y by adding 2x to both sides, which gives us 2y = 2x - 4.

So the solutions for y in the first equation are:

y = (64 - 8x)/8

and in the second equation are:

y = 2x - 4

We can now plot these two lines on the same coordinate plane. The point of intersection of these two lines will be the solution of the system of equations

Answer is attached in the graph.

Step by step

The easiest way to solve these is to graph on an internet or app graphing calculator.

To graph by hand you need to simplify them and arrange in slope intercept form y=mx + b

(#1)

8x + 8y = 64 all are divisible by 8

8/8x + 8/8y = 64/8

Simplify

x + y = 8

Arrange in slope intercept form

subtract x from both sides to isolate y

x - x + y = -x + 8

y = -x + 8

We plot the first point of y intercept of 8 (0,8) and plot the 2nd point by slope of -1/1 or

( 1, -1). Draw your line

(#2)

2x - 2y = -4 are all divisible by 2

2/2x - 2/2y = -4/2

Simplify

x - y = -2

Arrange in slope intercept form

subtract x from both sides to isolate y

x - x - y = -x -2

Simplify

-y = -x -2

Change the signs by multiplying all by -1

y= x +2

We plot the first point of y intercept

of 2 (0, 2) and plot the 2nd point by slope of 1/1 or ( 1, 1). Draw your line

Now you can find the solution is where the lines intersect. At (3, 5)

See my attached graph for your two line equations below

y = x + 2

y = -x + 8














































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