Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 683710: The question I was given is "The sum of the squares of two numbers is 61 and the sum of those two numbers is 11. Calculate all the possible combinations of two numbers that satisfy these statements."
I attempted the question by first writing x+y=11 and x^2 +y^2=61. Therefore y=11-x. Unfortunately I can't understand any of the notes I made in class after that and would really appreciate any advice. Step by step solutions would be amazing as well, thank you.
Click here to see answer by nerdybill(7384)   |
Question 683710: The question I was given is "The sum of the squares of two numbers is 61 and the sum of those two numbers is 11. Calculate all the possible combinations of two numbers that satisfy these statements."
I attempted the question by first writing x+y=11 and x^2 +y^2=61. Therefore y=11-x. Unfortunately I can't understand any of the notes I made in class after that and would really appreciate any advice. Step by step solutions would be amazing as well, thank you.
Click here to see answer by Alan3354(69443)  |
Question 683710: The question I was given is "The sum of the squares of two numbers is 61 and the sum of those two numbers is 11. Calculate all the possible combinations of two numbers that satisfy these statements."
I attempted the question by first writing x+y=11 and x^2 +y^2=61. Therefore y=11-x. Unfortunately I can't understand any of the notes I made in class after that and would really appreciate any advice. Step by step solutions would be amazing as well, thank you.
Click here to see answer by ReadingBoosters(3246) |
Question 683725: Hi guys, the last question I put up had such a fantastic response, it'd be great if you could help me out with one more. Word problems really confuse me.
The energy in Joules (j) of a particle varies directly with the square of it's speed, in m s ^-1. A particle moving at 20 m s ^-1 has 50J of energy.
a) How much energy has a paricle moving at 4ms^-1?
b) At what speeed is a particle moving if it has 200J of energy?
Click here to see answer by josmiceli(19441)  |
Question 683794: Hello,the problem I'm trying to solve is,
"A plane with a capacity of 120 passengers is to be chartered for an excursion. The price of one ticket is to be $60 if 100 people or fewer buy tickets. The airline will reduce the price of every ticket by 50 cents for each ticket sold over 100. How many additional passengers over 100 will bring about maximum income?"
I know the first part of the equation will probably be (120 + 100x), but I'm not to sure about the rest of the equation which I need in order to graph the parabola. Help would be greatly appriciated. Thanks.
Click here to see answer by MathLover1(20849)  |
Question 683994: A programmer is writing the code for a new interactive basketball game. As a result, she is using quadratic relations to model the path of the ball. During the game, when a ball is shot, the path it follows is modeled by the quadratic relation,h= -0.2d^2 + 3d + 6 , where h represented the height of the ball above the ground and d represented the distance of the ball from the shooter. Both distances are measured in feet.
How high was the ball when the shooter shot it?
What was the maximum height obtained by the ball?
A rim of a basketball net is 10 feet high. For what horizontal distance was the ball above the rim of the basketball net?
Please help for my review coming up ):
Click here to see answer by jim_thompson5910(35256) |
Question 683998: three different ways to graph the quadratic relation, . The three ways include: using a table of values, using x-intercepts, and using the vertex and step pattern.
Which method do you like the best to graph ? Why?
Click here to see answer by rapaljer(4671)  |
Question 684406: I want to first say, thank you for your service, and that this is not homeowrk for me but a study review for an exam so your help would be amazing so I can prepare well for it.
Find the distance PQ and the coordinates of the midpoint for the following ordered pairs.
1) p(-3,9), Q(2,7)
2)p(2x,-4x), Q(4x,2x^2)
Find the x-intercept and y-intercept for each line. use the intercepts to graph the equations
3) x/2+y/3=1
4)4x-5y=20
Graph the linear inequality
5)2x-y less then and equal to 1
6)x/2+y/4>1
7) x<2y
Click here to see answer by stanbon(75887) |
Question 684401: A telephone pole was bent over at the point 4/9 of the distance from its base to the top. The top of the pole reaches a point on the ground 9 meters from the base of the pole (thus forming a triangle with the ground). What was the original height of the pole?
Click here to see answer by mananth(16946)  |
Question 685197: Help me please, I just cannot get this!!!
For the given correspondence, writ the domain and range. Then determine whether it is a function;
(7,0), (-4,7),(0,-4),(7,-6)
a domain [-4,0,7] range [-6,-4,0,7] yes a function
b domain [-4,0,7] range [-6,-4,0,7] no not a function
c domain [-6,-4,0,7] range [-4,0,7] no not a function
d domain [-6,-4,0,7] range [-4,0,7] yes a function
Click here to see answer by vleith(2983) |
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