Segment AB is tangent to T at B. What is the radius of T?
1 answer:
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Given:
'a' and 'b' are the intercepts made by a straight-line with the co- ordinate axes.
3a = b and the line pass through the point (1, 3).
To find:
The equation of the line.
Solution:
The intercept form of a line is
...(i)
where, a is x-intercept and b is y-intercept.
We have, 3a=b.
...(ii)
The line pass through the point (1, 3). So, putting x=1 and y=3, we get
Multiply both sides by a.
The value of a is 2. So, x-intercept is 2.
Putting a=2 in , we get
The value of b is 6. So, y-intercept is 6.
Putting a=2 and b=6 in (i), we get
Therefore, the equation of the required line in intercept form is .
Answer:
There are 524,560 ways that the committee can be appointed.
Step-by-step explanation:
There are 9 different positions, a president, 3 officers and five committee members.
So
P - O1 - O2 - O3 - C1 - C2 - C3 - C4 - C5
There are 17 candidates, any of them can be president. So P = 17.
All of the others can be an officers. So O1 = 16, O2 = 15(17 subtracted by the president and O1), O3 = 14.
The officers can be committee members, so, C1 = 16, C2 = 15, C3 = 14, C4 = 13, C5 = 12.
How many different ways can the committee be appointed?
This is the sequence C1...C5:
There are 524,560 ways that the committee can be appointed.