Answer:
L(18, 20)
Step-by-step explanation:
In JL, K is the midpoint. The coordinates of J are (2, 2), and the
coordinates of K are (10, 11). What are the coordinates of L?
Solution:
If O(x, y) is the midpoint between two points A() and B(). The equation to determine the location of O is given by:
Since JL is a line segment and K is the midpoint. Given the location of J as (2, 2) and K as (10, 11). Let () be the coordinate of L. Therefore:
Therefore L = (18, 20)
Answer:
less than, slope, higher (the rest in not sure)
Step-by-step explanation:
just guessing, could you please show the drop downs??
Answer:
Graph B
Step-by-step explanation:
y = (x - 3)(x - 3)
The x intercepts are at 3
Since both intercepts are at 3, the vertex is at 3
We know it is an upwards facing parabola since it is quadratic and the constant out front is positive
Answer:
3/2 and 3/4 are terminating decimals
Step-by-step explanation:
Terminating decimals are those whose decimals end.
3/2 = 1 .5
2/3 = .6666repeating
3/4 = .75
5/7 =.714285repeating
<u>Solution-</u>
A school has 1800 students and 1800 light bulbs, each with a pull cord and all in a row.
As all the lights start out off, in the first pass all bulbs will be turned on.
In the second pass all the multiples of 2 will be off and rest will be turned on.
In the third pass all the multiples of 3 will be off, but the common multiple of 2 and 3 will be on along with the rest. i.e all the multiples of 6 will be turned on along with the rest.
In the fourth pass 4th light bulb will be turned on and so does all the multiples of 4.
But, in the sixth pass the 6th light bulb will be turned off as it was on after the third pass.
This pattern can observed that when a number has odd number of factors then only it can stay on till the last pass.
1 = 1
2 = 1, 2
3 = 1, 3
<u>4 = 1, 2, 4</u>
5 = 1, 5
6 = 1, 2, 3, 6
7 = 1, 7
8 = 1, 2, 4, 8
9 = 1, 3, 9
10 = 1, 2, 5, 10
11 = 1, 11
12 = 1, 2, 3, 4, 6, 12
13 = 1, 13
14 = 1, 2, 7, 14
15 = 1, 3, 5, 15
16 = 1, 2, 4, 8, 16
so on.....
The numbers who have odd number of factors are the perfect squares.
So calculating the number of perfect squares upto 1800 will give the number of light bulbs that will stay on.
As, , so 42 perfect squared numbers are there which are less than 1800.
∴ 42 light bulbs will end up in the on position. And there position is given in the attached table.