Answer:
x = 3.6
Step-by-step explanation:
If 2 chords of a circle intersect then the product of the parts of one chord is equal to the product of the parts of the other chord, that is
5x = 6 × 3 = 18 ( divide both sides by 5 )
x = 3.6
Answer:
y=1
Step-by-step explanation:
The line is hoizonatal so the slope would be undefined and the y intercept would be 1
Answer:
The parabola has an absolute minimum and its vertex is located at (1, 7).
Step-by-step explanation:
Since the directrix is below the focus, we infer that parabola has an absolute minimum, where there is a vertex, which is the midpoint of the line segment between (1, 10) and (1, 4). By definition of midpoint, we conclude that vertex is located at (1, 7).
Answer:
Option: D is the correct answer.
D) 4
Step-by-step explanation:
A random draw is being designed for 210 participants.
If the winner is to be drawn using 10 balls numbered 0 through 9.
That is for the 210 participants we have to get a 210 unique numbers so that each participant winning chance is denoted by a unique number.This means that n balls are to be drawn out of the 10 balls such that we get total 210 choices irrespective of their order.
Hence, we have to find n such that:

A)
Now when n=10
we have:

Hence, option:A is incorrect.
B)
when n=6 we have:

C)
n=5

D)
n=4

So, either 4 or 6 balls can be drawn in order to obtain 210 choices but we are asked to find the minimum number of balls and as 4<6 .
Hence, a minimum of 4 balls need to be drawn so that each receives a unique number.