Question

Trying to study for my test later, working on practice questions. screenshot below! please explain and work with me to solve. :)

Answer 1

so to find the midpoint i know i gotta use the cord sets in some way. to find the distance i tthink its the same? two different equations?

Answer 2

did u find the lenght of PQ ??

Answer 3

*length

Answer 4

i dont exactly know how to do that. i think its some equation where i put the points of the two lines in and then solve it? @rishavraj

Answer 5

Yes. Look up "distance formula" on the 'Net.
You could also use the Pythagorean Theorem: x^2 + y^2 = z^2, where |z| represents the length of the hypotenuse, which in turn is the same numerical value as the distance.

Answer 6

I'd suggest you sketch a diagram.

Answer 7

distance between two points say (x1, y1) and (x2, y2) is
\[\sqrt{(x_1 - x_2)^2+(y_1-y_2)^2}\]

Answer 8

sqrt((-10)-(-3))^2+((10)-(13))^2

sqrt(-7)^2-3^2

sqrt 49-9

sqrt 40

Answer 9

@rishavraj do i need to simplify it anymore or is that far enough?

Answer 10

\[\sqrt{49 + 9} = \sqrt{58}\]

Answer 11

oh! negative and a negative! I see that now! ok so let me see if theres a sqrt of 58!

Answer 12

not a whole number one. should i leave it as a sqrt?

Answer 13

Yes, that's what the instructions say. Leave it as a radical.

Answer 14

oh! and then i have to find the midpoint. is that the midpoint formula?

Answer 15

((-10)+(-3)/2,((10)+(13))/2

-7/2,23/2

-3.5,11.5

@mathmale is that correct?