What is the distance between (3, 5.25) and (3, –8.75)? 6 units 8.25 units 11.75 units 14 units

D. 14 units.

Step-by-step explanation:

We have been given coordinates of two points. We are asked to find the distance between both points.

We will distance formula to solve our given problem.

, where,

= Difference between two x-coordinates,

= Difference between two y-coordinates of same x-coordinates,

Let and .

Upon substituting our given values in above formula, we will get:

Therefore, the distance between the given points is 14 units and option D is the correct choice.

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.