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:
1:3
Step-by-step explanation:
Both numbers are divisible by 25:
∴ The simplified ratio is 1:3
Hope this helps!
Answer:
1)6
2)36
Step-by-step explanation:
-$-#--#-#+#+#++#+#+#+#
Answer:
As 2.551 < 3.84 therefore we reject H0.
As 44.803 > 4.46 so we accept null hypothesis.
Step-by-step explanation:
The answer is attached.
There are three judges so v1 = 3-1= 2 and v2 = (4*2)= 8
There are five gymnasts so v1 = 5-1= 4 and v2= (4*2)= 8
For alpha = 0.05 we find the value of F1 and F2 from the table.
Answer:
The most absolute error is 12
Step-by-step explanation:
The formula for absolute error is given by the following relation;
Absolute error, Δx = Value measured, x₀ - Exact (actual) value, x
Δx = x₀ - x
Since the actual count is between 77 and 89, the maximum absolute error will be where the actual value = 77 and the measured value = 89 and vice versa, giving an absolute error of 89 -77 = 12.
The most absolute error = 12.
