Explain why |−3| + |9| represents the distance between the points (−3, −5) and (9, −5).

find the answer in the explanation

Step-by-step explanation:

The distance between the points (−3, −5) and (9, −5). Can be calculated by using the formula

L = sqrt( ( Y2 - Y1)^2 + (X2 - X1)^2)

L = sqrt ( ( -5+ 5)^2 + ( 9 +3 )^2)

L = sqrt (0 + 144)

L = sqrt ( 144 )

L = 12

|−3| + |9| = 12 because they are sum of two absolute values number.

Absolute values numbers are always positive.

The sum of the two absolute numbers therefore represents the distance between the points (−3, −5) and (9, −5).

1/5^2 = 7.56/45

solution:

as, mean is defined as sum of all the observations divided by total number of observations.

and , median is mid value of the data whether arranged in ascending order or descending order.

consider, roadsters:

2,3,4,5,6,7,8,9

mean =

also, median= , because number of observations is even, so median is mean of two mid values.

now, coming to bandits

2,3,4,5,6

mean =  

median = 4, as number of observations is odd.

so, roadsters has greater median as well mean than bandits.

→option a is true about the repairs performed on 2 types of cars:

bandits have lower median and mean than roadsters.