9. find the distance between the point p(-12,-2)
and q(3,6).
hint: a sketch is useful.

Distance between points and is 17 units

Step-by-step explanation:

Given points:

To determine the distance between points P and Q.

Steps to be carried out:

1) Plot the points P and Q on graph.

2) Construct a line from P towards right horizontally and a line from Q downwards vertically such that they meet at point

3) Join PQ thus forming a right triangle POQ.

4) We can find the distance of sides OP and OQ by counting the units between the points.

OP=

OQ=

4)Now, we can apply Pythagorean theorem for triangle POQ.

  [ ]

Taking square root both sides:

[We take only the positive value as distance is always positive.

∴ Distance between points and is 17 units

its an acute right triangle

step-by-step explanation:

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).