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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 :)
Answer by richard1234(7193)   (Show Source):
You can put this solution on YOUR website! One question per post. I recommend you read your textbook before posting 20 questions on here, since most of the questions are relatively basic and require few steps. For most of the questions, you should draw a picture of what the question is asking, then solving it will become much easier.
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