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Tutors Answer Your Questions about Coordinate-system (FREE)
Question 490485: I NEED HELP. PLEASE HELP ME ASAP. THANKS BEFORE :)
1) The straight line with equation 5x+7y=35 cuts the x-axis and y-axis at points H and K respectively. Find :
a) The coordinates of H and K,
b) The length of the line segment HK.
2) The coordinates of ▲ ABC are A(2,6) , B(4,2) , C(12,6). Find the length of AB, of BC and of AC. Hence, show that the triangle is right-angled at B.
3) Find the gradient of each of the following lines,
a) x/3 + y/5 = 1
b) x/4 - y/3 = 1
c) 2x/3 - 4y/5 = 1
d) 3x/5 + y/2 = 1
e) x/7 - y/11 = 1
f) y/2 - x/5 = 1
4) Given that the line x/a + y/b = 1 passes through (0,3) and (5,1). Find the value of a and of b and the gradient of the line.
5) The straight line 2y=kx+6c has the same gradient as the line 5x+4y=7 and passes through the point (1,8). Find the value of k and of c.
6) The coordinates of O, A and B are O(0,0) , A(5,0) , B(7,8). Find
a) The gradient of AB,
b) The equation of AB,
c) The area of ▲ OAB,
The triangle OAB is reflected in the line x=0. Write down the coordinates
of the image of A and of B.
7) The distance between the points (1,2k) and B(1-k,1) is √ 11-9k. Find the possible values of k.
8) The curve x²+y²-4x-5y+4=0 cuts the y-axis at points A and B. It touches the x-axis at the point C. Find the coordinates of points A, B and C. Also find the area of ▲ ABC. ▲ ABC is rotated through 180° about the point C. Find the coordinates of A' and B', the image of the points of A and B.
9) Find the coordinates of the vertices of ▲ ABC formed by the intersection of the lines x + y = 0, x = 0 and y = x - 1. Hence, find the area of ▲ ABC.
10) The coordinates of ▲ OAB are O(0,0) , A(7,0) and B(0,9). If C is the point (3½,4½), find the equation of :
a) AB,
b) OC,
c) The line through C and having the same gradient as OA,
d) The line through C and having the same gradient as OB.
11) The lines (k+2)x + 5 = 3y and (k+3)y = 2x - 6 have the same gradient. Find the value(s) of k.
PLEASE HELP ME.. I NEED TO FINISH THIS ASSIGNMENT ASAP. THANK U SO MUCH :)
Click here to see answer by richard1234(7193)  |
Question 492320: hey i am not very sure about the equations like the sentence y=mcx whatever it is could you please help by sending a long form that is understandable to read and explains how to work them out in a graph. im only in yr 8 .please help
Click here to see answer by richard1234(7193)  |
Question 494165: Hi, this is on behalf of my son, we are having great irritations in figuring out how to solve this problem: here it is:
the area of a rectangular pool with a perimeter of 800 feet is given by the formula f(x)=400x-x(second power) where x represents the length of the pool in feet and f(x) represents the area of the pool in square feet the first number given for the value of x is 50.
what I need is help in solving this so that he can solve the remaining so that he can create a scatterplot graph. Thank you, Ricsi
Click here to see answer by chessace(471)  |
Question 498785: The graph shows the value of an automobile, which was purchased new for $25000 based on the number of years you own it.
After 3 years, what is the value of the car?
(The graph shows that 3 years is in between 20000 and 15000.) What is the answer?
Click here to see answer by Theo(13342)  |
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