An equation of the perpendicular bisector of the line segment with end points (3,0) and (-3,0) is
A) x = -3/2
B) x = 0
C) x = 3/2
D) X = 3
E) X = 6
Help please with steps

Answers

Answer 1

Answer:

[tex]x = 0[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (3,0)[/tex]

[tex](x_2,y_2) = (-3,0)[/tex]

Required

The equation of the perpendicular bisector.

First, calculate the midpoint of the given endpoints

[tex](x,y) = 0.5(x_1 + x_2, y_1 + y_2)[/tex]

[tex](x,y) = 0.5(3-3, 0+ 0)[/tex]

[tex](x,y) = 0.5(0, 0)[/tex]

Open bracket

[tex](x,y) = (0.5*0, 0.5*0)[/tex]

[tex](x,y) = (0, 0)[/tex]

Next, determine the slope of the given endpoints.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{0 - 0}{-3- 3}[/tex]

[tex]m = \frac{0}{-6}[/tex]

[tex]m = 0[/tex]

Next, calculate the slope of the perpendicular bisector.

When two lines are perpendicular, the relationship between them is:

[tex]m_2 = -\frac{1}{m_1}[/tex]

In this case:

[tex]m = m_1 = 0[/tex]

So:

[tex]m_2 = -\frac{1}{0}[/tex]

[tex]m_2 = unde\ fined[/tex]

Since the slope is [tex]unde\ fined[/tex], the equation is:

[tex]x = a[/tex]

Where:

[tex](x,y) = (a,b)[/tex]

Recall that:

[tex](x,y) = (0, 0)[/tex]

So:

[tex]a = 0[/tex]

Hence, the equation is:

[tex]x = 0[/tex]


Related Questions

a clothing manufacturer makes coats, shirts and slacks. The time required for The Cutting, sewing, and packaging on each item is shown in the table. How many of each should be made to use all available labor hours?​

Answers

9514 1404 393

Answer:

  120 coats, 200 shirts, 180 slacks

Step-by-step explanation:

If we let c, s, p represent quantities of coats, shirts, pants, respectively, then the total number of minutes required for cutting, sewing, and packaging can be expressed by ...

  20c +15s +10p = 7200

  60c +30s +24p = 17520

  5c +12s +6p = 4080

These equations can be written in "augmented matrix" form and submitted to your friendly local matrix solver (online or on your calculator). You would ask for "reduced row-echelon form". The calculator function that accomplishes this is often called RREF. The matrix and result are ...

  [tex]\left[\begin{array}{ccc|c}20&15&10&7200\\60&30&24&17520\\5&12&6&4080\end{array}\right]\rightarrow \left[\begin{array}{ccc|c}1&0&0&120\\0&1&0&200\\0&0&1&180\end{array}\right][/tex]

This means production should be of ...

  120 coats, 200 shirts, 180 slacks

n 1990, the mean height of women 20 years of age or older was 63.7 inches based on data obtained from theCDC. Suppose that a random sample of 45 women who are 20 years of age or older in 2015 results in a meanheight of 63.9 inches with a standard deviation of 0.5 inch. Does your sample provide sufficient evidencethat women today are taller than in 1990

Answers

Answer:

The sample does not provide sufficient evidence that women today are taller than women in 1990.

The difference in mean height is not significant to arrive at such a conclusion.

Step-by-step explanation:

Mean height of women 20 year of age or older in 1990 = 63.7 inches

Mean height of women 20 years of age or older in 2015 = 63.9 inches

The standard deviation of the mean height in 2015 = 0.5 inch

The difference between the two years' mean height is 0.2 (63.9 - 63.7) inch.

This difference is less than the standard deviation of the mean height in 2015.

Therefore, the difference does not provide sufficient evidence that women today are taller than women in 1990.

Mrs. Shaw writes this equation on the board. She asks the students to find
the solution.
-40 -2(3m + 1/2)= 7m -2
Keith’s work is shown below. What mistake did Keith make?
-40 - 6m + 1 = 7m - 2
-39 - 6m = 7m -2
-39 = 13m - 2
-37 = 13m
-2 11/13 = m

Answers

When he did distributive property, he forgot to carry out the negative
Suppose to be:
-40 - 6m - 1 = 7m - 2

According to a NY Times article in 2009, the average selling price of an LCD TV was $700. What would be the cost of that same TV in 2016 dollars?

Answers

The prices of products usually fall due to depreciation and the appearance of new technological objects. In this case, the value of the television would lower its price due to the appearance of other technologies such as LED.

How to calculate LCD TV depreciation?

To calculate the depreciation of the LCD TV, the year of manufacture, the useful life, the prices of new products (generally better), among others, must be taken into account.

A ballpark figure of 15% is generally used to calculate the depreciation of a television per year. In this case, following this pattern, the television would have a value of:

700 - 105 = 595595 - 89.25 = 505.75505.75 - 75.86 = 429.88429.88 - 64.48 = 365.39365.39 - 54.80 = 310.58310.58 - 46.58 = 263.99263.99 - 39.59 = 224.39

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Can someone help me with this
(show work)

Answers

Since each calculator is an x amount of money, you’ll have to divide by “x” or in this case, $31.25. Now, we know how much money they’ve spent, that being $500, so it makes things fairly simple,

500 / 31.25 = 16 calculators.

Leaving us with the answer being 16 calculators.

Answer:

16

Step-by-step explanation:

$500 ÷ $31.25 = the number of the calculator that the school bought

It is because each calculator cost RM31.25 and the school used $500 to buy plenty of number of them.

help lol sjdnwkfnnsnfnsndnwmdn

Answers

Answer:

m<2 = 40°

Step-by-step explanation:

<1 and <2 area corresponding angles. Corresponding angles are congruent.

m<1 = 40° (given)

Therefore,

m<2 = m<1 = 40°

m<2 = 40°

What is the slope of the line?

Answers

Answer:

-2

Step-by-step explanation:

This is an easy way to do it with points

(0,2)

+1  -2

(1,0)

rise/run  -2/1= -2

who is involved in the stimulus check please help me i really need help please

Answers

Answer:

Go on the IRS website and fill out the form.... this is what heard beetween a conversion with my brother and dad

Step-by-step explanation:

Lena spent $39 on fruit at the grocery store. She spent a total of $60 at the store. What percentage of the total did she spend on fruit?

Answers

Answer:

The answer is 65%

Step-by-step explanation: Divide 60 by 39 and multiply by 100. So it will look like 39/60=0.65*100=65%. I hope this helps. :)

Jose purchased a delivery van for his business through an online auction. His winning bid for the van was $34,750. In addition, Jose incurred the following expenses before using the van: shipping costs of $1,470; paint to match the other fleet vehicles at a cost of $1,590; registration costs of $4,836, which included $4,600 of sales tax and an annual registration fee of $236; wash and detailing for $141; and an engine tune-up for $318.

Required:
What is Jose’s cost basis for the delivery van?

Answers

Answer:

Jose's cost basis for the delivery van = $42,410

Step-by-step explanation:

Cost basis of a fixed asset can be described the original value of an asset for tax purposes which includes the purchase price, shipping, installation, sales tax, and other costs incurred that are related to the purchase of the fixed asset and to make it be in conformity with other assets in its class.

Based on this explanation, Jose's cost basis for the delivery van can be calculated as follows:

Jose's cost basis for the delivery van = Winning bid + Shipping costs + Cost of painting to match other fleet vehicles + Sales tax = $34,750 + $1,470 + $1,590 + $4,600 = $42,410

In the LEFT column: Solve for y: 5 = –7y + 8

Answers

9514 1404 393

Answer:

  y = 3/7

Step-by-step explanation:

add 7y to both sides of the equation

  7y +5 = 8

Subtract 5 from both sides of the equation

  7y = 3

Divide both sides of the equation by 7

  y = 3/7

Please help! Find the area of the regular hexagon. Round your answer to the nearest tenth.

Answer and explanation please!

Answers

Answer:

Here is the formula of what u want . so the answer would be A≈841.78 .

plz check the final answer yourself again ^^

hope it helps u . ⚘

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP


New plants and bushes are to be planted along a path that goes around a park. The shape of the park is shown below. What is the distance around the park?

Answers

Answer:

640

Step-by-step explanation:

Fhekdgjsddjsbsjsnsdbjsndbdksdbjsssnjsbd

54v–42w.
Write your answer as a product with a whole number greater than 1

Answers

9514 1404 393

Answer:

  6(9v -7w)

Step-by-step explanation:

The greatest common factor of the two terms is 6. Any factor of 6 can be brought outside parentheses:

  54v -42w = 2(27v -21w) = 3(18v -14w) = 6(9v -7w)

Can someone help me with this please ?

Answers

38 , because since its 90 degrees at exact, your subtract 90 from 52 and you would get 38 for your x value

For each of the following studies, say whether you would use a t test for dependent means or a t test for independent means.

a. A researcher randomly assigns a group of 25 unemployed workers to receive a new job skills program and 24 other workers to receive the stan- dard job skills program, and then measures how well they all do on a job skills test.
b. A researcher measures self-esteem in 21 students before and after taking a difficult exam.
c. A researcher tests reaction time of each member of a group of 14 individuals twice, once while in a very hot room and once while in a normal- temperature room.

Answers

Answer:

1. T test for independent means

2. T test for dependent means

3. T test for dependent means

Step-by-step explanation:

In number 1, the two groups are unrelated. The first group has 25 subjects and they're all unemployed. The second group has 24 subjects and their employment status is not stated and might not be the same all through. Also, the first group is receiving a new type of job skills program while the second group is taking the standard job skills program.

- The groups in the experiment are unrelated

- The tests in the research are unrelated

- The purpose of the research is unreasonable - the researcher seeks to measure how well all 49 subjects perform on 'a' job skills test! No comparison between the scores or mean scores of the two groups.

In number 2, the researcher uses the same subjects and also measures the same variable but twice. This is a good example of a study where the t test for dependent means can be taken. Same applies in case 3.

What value of c makes x2 + 6x + c a perfect square trinomial?

3
6
9
12

Answers

9514 1404 393

Answer:

  (c)  9

Step-by-step explanation:

The square of a binomial has the form ...

  (x +a)² = x² +(2a)x +a²

You will note that the value of 'a' is half the coefficient of the x term (2a). The constant term is the square of the value of 'a'. This means the number you want is ...

  c = (6/2)² = 9

Answer:

9

Step-by-step explanation:

Enter your answer in the box.
Find the value of the expression 4d - C + 3 when c = 3 and
d = 6.

Answers

Answer:

4d - c + 3

4(6) - 3 + 3

24 - 3 + 3

24

Step-by-step explanation:

24

Hope this helps :T

Samiya had 45 grams of cookies to share with the class how many kilograms of cookies does she have

Answers

Answer:

0.045 kg of cookies

Answer: 0.045

Step-by-step explanation:

Help I will give you 10 points please help

Answers

Answer:

Look Below

Step-by-step explanation:

1. A person would have to work 9 Hours to get 63$ for 7$ per hour.

2. Reese is 16 years old because if you do 34 - 18 = 16. Or you could do 16 + 18 = 34 to confirm it.

3. 10 - 4 = 6 Sean is 6 feet tall total because if you do a subtraction problem with the two variables you get 6.

4. I am not able to see the numbers on the right unfortunately so all you have to do for this one is to minus how much her brother has by 8 to get her amount.

Hope This Helps! Have A Good Day! Good Luck With Your Work!

6x + 30 = -6 show your work

Answers

Answer:

its x=-6

Let's solve your equation step-by-step.

6x+30=−6

Step 1: Subtract 30 from both sides.

6x+30−30=−6−30

6x=−36

Step 2: Divide both sides by 6.

6x

6

=

−36

6

x=−6

Answer:

180

Step-by-step explanation:

Write the equation of the line in y = mx + b form from the given information. The line passes through the point (1, 5) and has a slope of 2.

Answers

Answer:

y=2x+3

Step-by-step explanation:

the equation of the line given in y=mx+b form is for m being the slope and b being the y intercept

we are given a point (1,5) and a slope (2)

since we know the slope, we can plug thatk known value into the equation:

y=2x+b

now we need to find b

because the line will pass through the point of (1,5), we can use it to solve for b

substitute 5 as y and 1 as x

5=2(1)+b

5=2+b

3=b

therefore the equation is

y=2x+3

Hope this helps!!

What is the value of 6 in the number 762

Answers

Answer:

60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Hi,

Since the 6 is in the tenths place, it's a 60.

I hope this helps :)

If Brianna can read 1/4 of her book in 1/2 hour, how much of her book will she read in 1 hour?

Answers

She would read 2/4 in an hour

To keep producing a specific shirt style, a clothing company must make a profit of at least $5,000 on the style.

This system of inequalities models the potential profit from the sales of the shirt style and the profit constraints, where p represents the profit

and x is the shirt price,

p < -15x2 + 6003 + 60

P5,000

Complete the statements about the system's possible solutions.

When the price of the shirt is $15, the company

When the price of the shirt is $25, the company

its profit goals.

its profit goals.

Reset

Next

Answers

Answer:

At x = 15 ; price meets profit goal

At x = 25 ; price does not meet profit goal

Step-by-step explanation:

Constraint:

p < -15x2 + 600x + 60

P ≥ 5,000

x = shirt price ;

If x = 15

p ≤ -15(15²) + 600(15) + 60

p ≤ -3375 + 9000 + 60

p ≤ 5685

p ≥ 5000

5685 ≥ 5000 ( condition is met)

2.)

With a shirt price of $25

x = 25

p ≤ -25(25²) + 600(25) + 60

p ≤ -15625 + 15000 + 60

p ≤ - 565

p ≥ 5000

-565 < 5000 ( condition is not met)

a) When the price of the shirt is $15, the company meets its profit goals.

b) When the price of the shirt is $25, the company meets its profit goals.

What is the profit goal?

The profit goal is met when the price of a good or service exceeds the costs of its production and sales.

At p < -15(15)^2 + 600 (15) + 60 and p <= -15(25)^2 + 600(25) + 60, the profit goal of $5,000 is met.

Thus, we can conclude that:

a) When the price of the shirt is $15, the company meets its profit goals.

b) When the price of the shirt is $25, the company meets its profit goals.

Learn more about the importance of financial planning in meeting the profits goal at https://brainly.com/question/12890843

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PLEASE HELP!!
All measurements are in inches when not given. Find the area of the
following: *
12
15
180 inches ^2
100 inches 12
300 inches ^2

Answers

Answer:

180 inches ^2

Step-by-step explanation:

12 x 15 = 180

also i like your profile

Unit 10 circles homework 2 back side

Answers

There’s no question?

The mean of ten numbers is 13. What eleventh number, if included with the original numbers, would result in a mean of 12?

Answers

Answer:

2

Step-by-step explanation:

To find the mean, you divide the number you get from adding all the numbers by the number of numbers. In this case, we know the mean and the number of numbers but don't know the number you get from adding all the numbers. So, we have to do the reverse operation meaning we have to multiply 13 and 10 together which would equal 130.

Now, we do the same thing with 11 and 12, we multiply! 11 x 12 = 132.

130 + 2 = 132, meaning the answer is 2.

You're welcome!

The eleventh number, if included with the original numbers, would result in a mean of 12 is; x = 2

Formula for mean is;

Mean = Sum of numbers/sample size

We are given;

Mean = 13

Sample size = 10

Thus, sum of numbers = 13 × 10 = 130

Now, we want to add an eleventh number so that the mean will be 12.

Thus, n = 11

12 = (130 + x)/11

Cross multiply to get;

12 * 11 = 130 + x

x = 132 - 130

x = 2

Thus, the eleventh number, if included with the original numbers, would result in a mean of 12 is; x = 2

Read more at; https://brainly.com/question/6995725

help with math thanks so much!!!!

Answers

Answer:

The answer is 7

What is the value of the exponential expression below?
36 1/2

Answers

Answer:

D. 6

Step-by-step explanation:

[tex]36 {}^{ \frac{1}{2} } = \sqrt{36} = 6[/tex]

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