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

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.

answer:   b

step-by-step explanation:

x2 = 16

x can not be a negative number because 16 is positive

the only answer would be positive 8