Question

Find the distance between the points:
(i) (9,3) and B(15, 11)
(1) A(-6, -1) and B(9,-12)
(
(i
(v) P(a+b, a - b) and Q(a-b, a+b)​

Answer 1

Answer:

(I) 10 units

1) 18.6 units

v) √(4b^2+4a^2) units

Step-by-step explanation:

Use the distance formula :

d=√[(x2-x1)^2+(y2-y1)^2]

i) (9;3).........1 the first point in your graph

(15;11)......2 the second point

You then substitute them to your distance formula : d=√[(x2-x1)^2+(y2-y1)^2]

NB : Remember all this [(x2-x1)^2+(y2-y1)^2] is under a root( √ ).

x1= 9

y1= 3

( 9;3) from the first point

x2 = 15

y2= 11

(15;11) from the second point

You then substitute your points to the distance formula:

d=√[(x2-x1)^2+(y2-y1)^2]

=√[(15-9)^2 + (11-3)^2]

=√[(6)^2 + (8)^2]

=√(36 + 64)

=√100

= 10 units

And now that I have shown you a way to approach this problem, you can do the rest using the distance formula .

plz like if you find this helpful.