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# Your math teacher manages a campground during summer vacation. He loves math so much that he has mapped the campground on a coordinate grid. The campsites have the following coordinate: Brighton Bluff at B(2,2), ponaganset peak at P(4,10) and harmony hill at h(12,2) he wants to build showers that are equidistant from all three campsites. Find the coordinates of the point where the shower should be placed.

Step 1) Find the perpendicular bisector of BP Step 2) Find the perpendicular bisector of BH Step 3) The intersection point of the perpendicular bisector is where the showers would be built. This is the circumcenter of the circumscribed circle. hope this helps

## Related Questions

Posted in Mathematics

Find the multiplicative inverse of 6 + 2i.

The solution to the problem is as follows:

First thing to do is get rid of the i. Multiplying by 6 - 2i will do this

( 6 + 2i)(6 - 2i) = 6^2 - (2i)^2 = 36 - 4(-1) = 36 + 4 = 40

Dividing by 40 gets you 1

(6 + 2i) (6-2i)/40 = 1

The answer is (6 - 2i)/40 = (3 - i)/20

I hope my answer has come to your help. God bless and have a nice day ahead!

Posted in Mathematics

The y-coordinate of the y-intercept is the _____ term in the equation of the line.

For the answer to the missing term in the question above, the question is as simple as its answer. The right answer is constant.
I hope my answer helped you. Feel free to ask more questions. Have a nice day!

Posted in Mathematics

The price of a cup of coffee was $2.65 yesterday. today, the price fell to$2.50 . find the percentage decrease. round your answer to the nearest tenth of a percent.

We must find the difference between prices. $2.65 -$2.50 = $0.15. Now we need to calculate what percent$0.15 is of $2.65. It is 5.7%! The price decreased, so it is a 5.7% decrease! Posted in Mathematics Let P be a point between points S and T on 2004-01-01-02-00_files/i0120000.jpg. If ST = 21, SP = 3b – 11, and PT = b + 4, solve for b. A. –7 B. 7 C. 14 D. 32 The best and most correct answer among the choices provided by your question is the third choice or letter C. If ST = 21, SP = 3b – 11, and PT = b + 4, the value of b would be 14. I hope my answer has come to your help. God bless and have a nice day ahead! ## Use our writing service to score better and meet your deadlines No matter what kind of academic paper you need, it is simple and secure to hire a writer for a price you can afford at StudyHawks. Save more time for yourself. Posted in Mathematics A car travel 90 Km in 2 1/2 hours. How much time is required to cover 30 Km and find the distance cover in 2 hours 90:2 1/2 90/3 : (2 1/2)/3 30 : (2 1/2)/3 30 : (5/2)/(3/1) 30 : 5/2*1/3 30 : 5/6 30km in 50 mins 90 : 2 1/2 90/(2 1/2) : (2 1/2) / (2 1/2) 90/(2 1/2) : 1 (90/1)/(5/2) : 1 (90/1)*(2/5) : 1 180/5 :1 36:1 Multiply each side by 2: 72:2 72 km in 2 hours Hope this helps :) Posted in Mathematics What is the equation in point slope form of the line that passes through the point (–2, 4)(–2, 4) and has a slope of 5? Point-slope formula: y-y1=m(x-x1) Now we'll plug in the numbers they give us into the formula: y-4= 0(x+2). Posted in Mathematics The ratio of boys to girls in Mrs. Ronilo's math class is 3 to 1. What PERCENT of the class is girls? Answer:25 % Step-by-step explanation: there are 4 parts and 1 of those is girls 1 divided by 4 is 0.25, which is 25% Posted in Mathematics Sophia is saving money for a new bicycle. The bicycle will cost at least$623. Sophia makes $8.22 per hour. Which inequality could be used find the number of hours Sophia needs to work to make enough money to buy a new bicycle?$8.22h > $623$8.22h ≤ $623$8.22h ≥ $623$8.22h < $623 Answer: C.$ 623

Step-by-step explanation:

We are given that Sophia is saving money for a new bicycle.

The bicycle will  cost atleast $623. Sophia makes$8.22 per hour.

We have to find the inequality that could be used to find the number of hours Sophia needs to work to make enough money to buy a new bicycle.

Let Sophia works h hours to make enough money to buy a new bicycle.

Sophia makes money per hour =$8.22 Total money made by Sophia in h hours = According to question$623

Hence, option C is true.

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Posted in Mathematics

Mrs. Donley's math class has a total of 25 students. On Friday, the class was given an eight question quiz on fractions. The number of incorrect answers given by the students is shown below. Incorrect Answers Number of Students 0 5 1 7 2 4 3 6 4 2 5 1 What is the relative frequency of students that missed 1 question on the quiz? A. 0.28 B. 0.48 C. 0.35

You need to find the amount of students who missed one question, and divide that by the total number. If you sum all the students, you find that there are 25 students. From the chart, 7 missed 1 question, therefore the solution would be 7/25, which is 0.28, or A.

A. 0.28

Posted in Mathematics

Find the value of 3x + 2 when 7+ x = 5

I hope this helps you

x= 5-7

x= -2

3.(-2)+2

-6+2

-4

Posted in Mathematics

Find all the zeros of the function y=x^3+6x^2+x+6

one more thing X= not real solution

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Posted in Mathematics

Which of the following ordered pairs corresponds to an arrow on a mapping diagram that starts at 4 and ends at 1? Map Diagram: Input 1 2 3 4 5 Output 1 2 3 4 5 The arrow points from 4 under input to 1 under output. Answer Choices are: A. (1, 1) B. (1, 4) C. (4, 1) D. (4, 4)

Input options represent first number in ordered pair and output options represent second number in ordered pair.

We can see that arrow starts from 4 and is pointing to 1 which means:
first number is 4 and second is 1

Ordered pair is:
(4,1)

Posted in Mathematics

How do you find the circumference of a circle?

Prefer this webpage
http://www.mathopenref.com/circumference.html

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Posted in Mathematics

200x50 mathematics problem

200*50=10,000.
2*5=10
20*50=1000
200*50=10000

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Posted in Mathematics

Clark Kent walks 3 miles west and then 4 miles north. How far is it for Superman to fly in a straight line back to his starting point? (It makes a right triangle.)

You can use the Pythagorean theorem to solve this problem. 3 miles west would be 3 units to the left on a graph, and 4 miles north would be four units up on a graph. The last line would be the hypotenuse. Now, if you know about special right triangles, then it can be recognized that the triangle is a 3-4-5 triangle, and the hypotenuse is 5 units. Otherwise, the Pythagorean theorem can be used.

a^2+b^2=c^2
3^2+4^2=c^2
9+16=c^2
25=c^2
sqr 25=sqr c^2
5=c

Posted in Mathematics

Can someone help that is good in math please and thank you

I can help a bit. But I might don't know some though.

Posted in Mathematics

Anybody good at math?

Yup! We're all pretty good here. :)

Posted in Mathematics

Find the amount paid for the loan.$1500 at 9% for 2 years It would be: P * R * T /100 = 1500 * 9 * 2 /100 = 27000/100 = 270 So, the amount paid would be$270

Hope this helps!

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