5. If mFBA= 7x + 6y. what is mFBA 40 44 47 60
2 answers:
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<span>In a Cartesian coordinate system, a vertical line segment always is parallel to the y-axis, so we have this coordinate system in the figure below. We need to find a pair of points that is 4 units long.
So, this pair of points are in the general forms as follow:
</span>
<span>
Given that the straight line is vertical, then:
</span>
<span>
Then the point 2 is modified as:
</span>
<span>
We need to find a point which is 4 units long, so:
</span>
∴
So, we can find infinite points given a value of
, therefore if:
then:
∴
Thus, if
then a pair of points are:
So, this pair of points are in the general forms as follow:
</span>
<span>
Given that the straight line is vertical, then:
</span>
<span>
Then the point 2 is modified as:
</span>
We need to find a point which is 4 units long, so:
</span>
∴
So, we can find infinite points given a value of
∴
Thus, if
Answer:
The coordinates of P' are .
Step-by-step explanation:
The coordinates of the point P' is determined by the following expression:
(1)
Where:
- Original point.
- Translated point.
- Translation vector.
If we know that and
, then the coordinates of point P':
The coordinates of P' are .