Which of the following sets of measurements could be the sides of a right triangle? A: 5, 12, 13
B: 2, 3, 13
C: 4, 5, 9
D: 3, 9, 12

a. 5,12,13

Step-by-step explanation:

we know in right angle triangle

AC^2 = AB^2 + BC^2

here let

AC = 13

AB = 5

BC = 12

So,

13 ^2 = 5^2+ 12^2

169 = 25 + 144

169 = 169

so,

sides of right angle triangle are 5,12,13

and only the largest value in given data can be AC as AC is hypotenuse

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

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.