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How fast is the distance between the two cars decreasing? |
2009-12-08 |
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From Jenny: Two cares are on a collision course toward point P. The paths of the two cars make a 30 degree angle with each other. The first car is 40 km from P, and traveling toward P at 16 km/hour. The second car is 50 km from P, traveling at 20 km/hour. How fast is the (straight line) distance between the two cars decreasing. (Hint: Law of Cosines) Answered by Harley Weston. |
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Simplifying a quadratic expression |
2009-12-07 |
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From Sabbie: Hi, I need help solving this equation for my physics homework,so I can solve the quadratic equations for x and y.
I've derived the following equations from the information provided in the question.
2a+3b = 4 -- 1
2a^2 + 3b^2 = 62 -- 2
a=2-(3/2)b is substituted into equation 2.
so, i get
2 (2-(3/2)b)^2 + 3b^2 = 62
this is where the problem begins. i cannot work through this to get to the correct quadratic equation
5b^2-8b-36=0
I can't seem to be able to figure out where I keep going wrong. I would really appreciate it if you could give me a step-by-step breakdown of the workout.
thanks! Answered by Penny Nom. |
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An equilateral triangle is inscribed in a circle |
2009-12-06 |
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From anna: An equilateral triangle is inscribed in a circle of radius 6. Find x and the length of
one side of the equilateral triangle. The picture is a triangle where the corners touch the
sides of a circle and there is a line drawn down the middle of the triangle. A point labeled
D which is in the triangle but im pretty sure that its marking the radius of the circle.
From that point D is a line going from that point to the bottom left corner of the triangle.
So this line shall make another mini triangle. The bottom of the big triangle is then split
into 2 segments and the left segment is labeled x. Please help for I am stuck! Answered by Penny Nom. |
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7 36 14 18 28 9 56 x y |
2009-12-06 |
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From lisa: what is the sequence of x and y
7 36 14 18 28 9 56 x y Answered by Penny Nom. |
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The height of an isosceles triangle |
2009-12-06 |
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From Carl: What is the height of an isosceles triangle if its base is 12cm, and its base angle is 72degrees? Answered by Penny Nom. |
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Walking at 4/5 of his usual speed |
2009-12-05 |
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From venkatesh: walking at 4/5 of his usual speed a man is 10 minutes too late .find his usual time. Answered by Penny Nom. |
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A magic/math trick |
2009-12-04 |
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From Valentin: What is the explanation for the following math trick: you think of any four digit number add those digits take that sum and subtract it from the first number then you say three of those new numbers in any order and the other person guesses the last digit.
How does he do it? Answered by Claude Tardif. |
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Three numbers that have the sum of 45 |
2009-12-04 |
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From amanda: there are three numbers that have the sum of 45.The greatest of the three numbers is 2 greater than the least number.What are the numbers?what is the formula to get the answer? Answered by Penny Nom. |
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Two adjacent pig pens |
2009-12-04 |
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From alysia: A pig farmer wants to build two adjacent pens using 96 feet of fencing. He wants rectangular pens that share the short side and the overall length is to be six more than twice the width. What should be the dimensions of the overall pen? Answered by Penny Nom. |
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(9 - x^2)/(x - 3) |
2009-12-04 |
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From Sandy: 9-x^2/x-3
I need to know how to solve this.
Thanks Answered by Penny Nom. |
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Airline routes |
2009-12-01 |
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From Kapilan: Please answer the following question:
From A to B there are four possible air routes. From B to C there are five
possible air routes. From C to D there are three possible air routes. How many
different trips can be taken from A to D and back without taking the same route on any
section of the return trip? Answered by Penny Nom. |
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A line through the y-intercepts |
2009-12-01 |
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From Rogerson: Find the equation of the line through y-intercept of the lines 3x + 4y = 12 and 3x - y = 9. Answered by Penny Nom. |
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(24x3)+(7x8)-(20/5)+(4x7) |
2009-12-01 |
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From Marilyn: (24x3)+(7x8)-(20/5)+(4x7)
Thought I had the answer but the form says no. Could you solve it for me please. Answered by Penny Nom. |
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GST and PST |
2009-11-30 |
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From anne: i have a total amount15.81.i need to find out the amount of gst(5%) and the pst(7%) that i paid within that amount of 15.81 Answered by Penny Nom. |
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Four fours |
2009-11-29 |
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From linda: Four Fours order of operations challenge i need problems using 4's only that have an answer of 13, 18, and 19
than you Answered by Penny Nom. |
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