Answer:
Magnitude is
Step-by-step explanation:
Given that position vector of P is
(7,16) and Q is (-1,7)
Hence vector QP = coordinates of P-coordinates of Q
= (8,9)
We can write QP = 8i+9j
where 8 is the component along horizontal x axis and 9 the component along vertical y axis.
Magnitude of QP = [tex]\sqrt{8^9^2} \\=\sqrt{145} \\
The first step in graphing a linear inequality is to graph the linear equality. The equation -x + 4y = -8 is equivalent to 4y = x - 8, which is equivalent to . This is the equation for the line in slope-intercept form, so the line will have a slope of 1/4 and a y-intercept of -2 (see the first image). Notice that the line is solid, rather than dotted. This represents that points on the line are included in the solution, because the inequality sign is ≥, which is not a strict equality (< or >).
Next, we need to figure out which side to shade. To do so, simply pick any point (I like to use the point (0,0) because it makes the calculations easy) and see whether it satisfies the inequality. If it does, shade the side with that point, and if not, shade the opposite side of the graph.
Here we see that the point (0,0) does satisfy the inequality, since -(0) + 4(0) is 0, and 0 ≥ -8, so the top half of the graph should be shaded (see the second image).
Answer:
Step-by-step explanation:
We can add the two equations to eliminate and solve for
.
Now, we can find for by using substitution:
(given)
Hope this helps :)