Answer:
P = (2, 7)
Step-by-step explanation:
You want to find coordinates of P on segment AB such that P is 3/4 is of the way from A to B.
<h3>Equation for P</h3>
For some fraction q of the distance from A to B, the point P that lies at that fraction of the distance is given by ...
P = A +q(B -A) = (1 -q)A +qB
<h3>Application</h3>
For q = 3/4, the location of P is ...
P = (1 -3/4)A + 3/4B = (A +3B)/4
Using the given point coordinates, we have ...
P = ((-4, -2) +3(4, 10))/4 = (-4 +12, -2 +30)/4 = (8, 28)/4
P = (2, 7)
If the farmer does not want to fence along the river, what is the largest area that can be enclosed? What dimensions ...
3y = 3 * 9 = 27
4z = 4 * -12 = -48
: -48 + 27 = -21
: -21 + x = 24
: X = 45.
I hope that makes sense.
Step-by-step explanation:
The sine of an angle is the same as the cosine of its complement.
If sin 30° = ½, then cos 60° = ½.
When reflecting over the x-axis, the y value change.
When reflecting over the y-axis, the x value change.