Questions on Geometry: Geometric formulas answered by real tutors!

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Question 67315: Find the standard form of the equation of a circle whose center is (-2,5) and whose radius is 6.
Click here to see answer by stanbon(75887) About Me 

Question 67319: Simplify:
3log(base 7)7 - log(base 5)25 + log(base 3)(1/3) + log(base 10)1

Click here to see answer by stanbon(75887) About Me 

Question 67320: Determin if F(x) = 3x+1 and G(x)=(1/3)x-(1/3) are inverse functions by computing their compositions.
Click here to see answer by Nate(3500) About Me 

Question 67370: If F(x)= x(1-x), find [F(x+h) -F(x)/h]
Click here to see answer by algebrapro18(249) About Me 

Question 67375: Amy walked through an arc of 40 degrees along the rim of a circular swimming pool 40 feet in diameter. How far did she walk?
Click here to see answer by Earlsdon(6294) About Me 

Question 67386: Let f(x) = 3x^2 and g(x) = x - (2/x) Evaluate:
A.)(f-g)(3)
B.)(f/g)(3)
C.)(g of f)(3)

Click here to see answer by algebrapro18(249) About Me 

Question 67374: Pencils sell at D dollars for 1 dozen. At this price, what would be the total cost of M pencils?
Click here to see answer by ptaylor(2198) About Me 

Question 67383: Solve for x:
A.) Log(base 3)4 + log(base 3)5 = log(base 3)(4x+5)
B.)log(base 7)6 -log(base 7)(x-1) = log(base 7)3
C.)3log(base x)4 = 2

Click here to see answer by algebrapro18(249) About Me 

Question 67382: Simplify:
log(base 2)8 + 3 log(base 3)3 - log(base 2)1 + log(base 4)(1/4)

Click here to see answer by algebrapro18(249) About Me 

Question 67388: The latitud of Cambridge is 42.4 degrees north of the equator. If the diameter of the earth is 7920 miles, how far is Cambridge from the equator?
Click here to see answer by Nate(3500) About Me 

Question 67381: Find the standard form of the equation of a circle whose center is (2,1) and whose radius is 3.
Click here to see answer by Nate(3500) About Me 

Question 67379: Write the quadratic equation witha lead coefficient of 1 whose roots are 3+2i and 3-2i.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 67372: If M workers can do a job in D days, how long would it take 40 workers to do the same job?
Click here to see answer by ptaylor(2198) About Me 

Question 67387: A.)How many odd three-digit counting numbers less than 300 can be found given that the second digit cannont be 2 or 8? Repitition is permitted.
B.)How many even three-digit counting numbers can be formed if the second digit is not 0 and the third is not 6? Repitition is permitted.

Click here to see answer by stanbon(75887) About Me 

Question 67378: A.) Arctan(tan 315 degrees)
B.)Arctan (tan 150 degrees)

Click here to see answer by stanbon(75887) About Me 

Question 67371: How many four-digit counting numbers can be made from the digits 1,2,3, and 4 if 2 and 3 must be next to each other and if repetition is not permitted?
Click here to see answer by stanbon(75887) About Me 

Question 67385: Find the number that is (4/5) of the way from -3(2/3) to 4(1/4).
Click here to see answer by stanbon(75887) About Me 

Question 67421: Find the standard form of the equation of a circle whose radius is 4 and whose center is (3,2).
Click here to see answer by prabhjyot(165) About Me 

Question 67418: Write the quadratic equation with a lead coefficient of 1 whose roots are 1+3i and 1-3i.
Could someone show me how to this step-by-step, please?

Click here to see answer by Nate(3500) About Me 

Question 67473: How would you rewrite the formula A=1/2(b1+b2)h to find b2?
Click here to see answer by Edwin McCravy(20056) About Me 

Question 67681: Robilll can do 2 jobs in 3 days, and Burray can do 5 jobs in 6 days. Robill works for 3 days and then Burray begins to help. How many days will it take to complete a total of 74 jobs?
Click here to see answer by stanbon(75887) About Me 

Question 67682: Mugabee thought he was rich because he was paid $240 for a 40-hour week. The next week he received a 20 percent hourly raise, and in addition, he was allowed to work 60 hours. He really celebrated when he saw his paycheck. How much did he get paid?
Click here to see answer by rajagopalan(174) About Me 

Question 67684: The nurse was aghast. He knew that G gallons of milk would feed S infants for 11 days, but he had S + 14 infants to feed. How many days would K gallons of milk last?
Click here to see answer by ptaylor(2198) About Me 

Question 67679: The latitude of Wilson, Wyoming, is 43.6 degrees north of the equator. If the diameter of the earth is 7920 miles, how far is Wilson from the equator?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 68312: Flying Disc. A plastic flyiing disc is circular and has a circular hole in the middle. If the diameter of the outer edge of the ring is 13 inches and the diameter of the inner edge of the ring is 10 inches, what's the area of plastic in the ring? Use 3.14.
Click here to see answer by ptaylor(2198) About Me 

Question 68482: If you have a square that is 6ft by 6ft and want to make it a triangle with the same square footage, what would it be and how?
Click here to see answer by Edwin McCravy(20056) About Me 

Question 68603: If you have a square that is 6 ft on each side and you want to make a triangle with the same sq. footage, how would you and what would be the length of each side. ( length of diagonal line)
Click here to see answer by wgomero(28) About Me 

Question 68906: Geometry. If the sides of a square are decreased by 2cmm the area is
decreased by 36cm^2. What were the dimensions of the original square?''.

Click here to see answer by ptaylor(2198) About Me 

Question 68982: Please help me solve this equation: 10x-22=(8x+8)^2
I need to solve for x.

Click here to see answer by checkley75(3666) About Me 

Question 67685: Let M=B^a and N=B^c. Show why log(base b)MN = log(base b)M + log(base b)N.
Click here to see answer by stanbon(75887) About Me 

Question 69157: 3) Use the geometric sequence of numbers 1, 1/3, 1/9 , 1/27… to find the following:
a) What is r, the ratio between 2 consecutive terms?
Answer:
Show work in this space.



b) Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 10 terms? Carry all calculations to 6 decimals on all assignments.
Answer:
Show work in this space.



c) Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 12 terms? Carry all calculations to 6 decimals on all assignments.
Answer:
Show work in this space.



d) What observation can make about the successive partial sums of this series? In particular, what whole number does it appear that the sum will always be smaller than?
Answer:

Click here to see answer by jim_thompson5910(35256) About Me 

Question 69234: Include the following in your answer:
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic series?
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric series?
Give real-life examples of both arithmetic and geometric sequences and series. Explain how these examples might affect you personally.

Click here to see answer by Nate(3500) About Me 

Question 69247: I have some answers but im not sure if they are right. I need this by tonight, can you please help me?
1) Use the arithmetic sequence of numbers 2, 4, 6, 8, 10… to find the following:
a) What is d, the difference between any 2 terms?
Answer:
Show work in this space.


b) Using the formula for the nth term of an arithmetic sequence, what is 101st term? Answer:
Show work in this space.


c) Using the formula for the sum of an arithmetic sequence, what is the sum of the first 20 terms?
Answer: 430
Show work in this space.
You would add


d) Using the formula for the sum of an arithmetic sequence, what is the sum of the first 30 terms?
Answer: 960
Show work in this space.



e) What observation can you make about the successive partial sums of this sequence (HINT: It would be beneficial to find a few more sums like the sum of the first 2, then the first 3, etc.)?
Answer:



Click here to see answer by jim_thompson5910(35256) About Me 

Question 69324: Find the next term in the sequence
1/2, -4, 32........

Click here to see answer by checkley75(3666) About Me 

Question 69588: Give a number that is a counter example to conjecture below. Explain your answer choice.
All numbers that end in the digit 3 are prime.

Click here to see answer by bucky(2189) About Me 

Question 69579: Please help to identify the hypothesis and conclusion of the following statement:
If you get a's on all your geometry tests, then everyone will want to sit near you in class.

Click here to see answer by bucky(2189) About Me 

Question 69905: the perimeter of a rectangle is 64cm.the length is 4 cm. less than twice the width.find the length and the width.
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 70181: 1. If $4000 is deposited into an account paying 3% interest compounded annually and at the same time $2000 is deposited into an account paying 5% interest compounded annually, after how long will the two accounts have the same balance? Round to the nearest year and show all work.
2. Would you prefer that your salary be modeled exponentially or logarithmically? Explain your answer
3. If the half-life of a radioactive substance is 45 minutes and you originally have 2500 grams of the substance, how much will be left after 3 hours? Explain how to determine the amount without using the exponential model.

Click here to see answer by stanbon(75887) About Me 

Question 70448: Given the following points, find the slope of the line through these points. (-3,0) and (2,-1)
Click here to see answer by checkley75(3666) About Me 

Question 70455: Find the slope of a line perpendicular to the line passing through the points
(-1,4) and (8,1)

Click here to see answer by checkley75(3666) About Me 

Question 70451: FInd the slope of the line parallel to the line passing through the points (-4,0) and (1,-5)
Click here to see answer by checkley75(3666) About Me 

Question 70450: Given the following points, find the slope of the line through these points. (5,-1) and (3,0).
Click here to see answer by piglet162431(90) About Me 

Question 71295: Some one please help
Determine the vertex of y = x^2 -8x +22
Please show how you do this
Thank you

Click here to see answer by funmath(2933) About Me