Answer:
units
Step-by-step explanation:
The distance formula is
where
is the distance between points
and
. Let
and
, thus:

Therefore, the distance between points P(5,1) and Q(3,4) is
units.
Answer:
(10; -1)
the x-coordinate of the other endpoint is (x;y)
because the segment has midpoint at (3;0)
=> x - 4 = 3.2 = 6
y + 1 = 0.2 = 0
<=> x = 10
y = -1
=> the other endpoint is (10; -1)
We have been given a parent function
and we need to transform this function into
.
We will be required to use three transformations to obtain the required function from
.
First transformation would be to shift the graph to the right by 4 units. Upon using this transformation, the function will change to
.
Second transformation would be to compress the graph vertically by half. Upon using the second transformation, the new function becomes
.
Third transformation would be to shift the graph upwards by 5 units. Upon using this last transformation, we get the new function as
.