Two lines are perpendicular if and only if the product of their slopes is - 1.
So, you just need to find the slope of each line and find out the product of their slopes.
I will do one example for you.
L1: y = 3x + 5
L2: y = - 3x + 14
L3: y = -x/3 + 14
The slope of a line is the coefficient of the x.
So the slopes are:
L1: slope 3
L2: slope -3
L3: slope -1/3
So now multiply the slopes of each pair of lines:
L1 and L2: 3 * (-3) = - 9 => No, they are not perpendicular
L2 and L3: (-3) * (-1/3) = 1 => No, they are not perpendicular
L1 and L3: (3) * (-1/3) = -1 => Yes, they are penpendicular.
Answer:
$14.10
Step-by-step explanation:
To have 30 bulbs, Maura can buy 10 packages of 3 at $5.37 each, for a total of $53.70. Or, she can buy 15 packages of 2 at $4.52 each, for a total of $67.80.
Buying in packages of 3, Maura saves $67.80 -53.70 = $14.10.
Answer:
The table is attached below and ogive also.
Step-by-step explanation:
Given
The following distribution is given below
First we find the cumulative frequency.
And then we convert it into a less than type ogive.
find the cumulative frequency shown below clearly
And convert it into less than type of cumulative frequency distribution is also done in next table, the daily income is less than daily income upper limit.
In this graph x-axis is daily income and y-axis is number of workers
Answer:
1,000
Step-by-step explanation:
10*10*10= 1,000
next step
10 to 3
