Answer:
Thank you
Step-by-step explanation:
Use elimination.
-x = -6
X = 6
-4 (6) + 4y = 12
Y = 9
(X,y)
(6,9) is the solution
Yes, every right triangle has two complementary angles.
This is because you know that the interior angles of a triangle have to add up to 180 degrees.
A right angle is 90 degrees, so the remaining two angles have to add up to (180-90) degrees, or 90 degrees.
Two angles whose sum is 90 degrees are complementary.
There are many systems of equation that will satisfy the requirement for Part A.
an example is y≤(1/4)x-3 and y≥(-1/2)x-6
y≥(-1/2)x-6 goes through the point (0,-6) and (-2, -5), the shaded area is above the line. all the points fall in the shaded area, but
y≤(1/4)x-3 goes through the points (0,-3) and (4,-2), the shaded area is below the line, only A and E are in the shaded area.
only A and E satisfy both inequality, in the overlapping shaded area.
Part B. to verify, put the coordinates of A (-3,-4) and E(5,-4) in both inequalities to see if they will make the inequalities true.
for y≤(1/4)x-3: -4≤(1/4)(-3)-3
-4≤-3&3/4 This is valid.
For y≥(-1/2)x-6: -4≥(-1/2)(-3)-6
-4≥-4&1/3 this is valid as well. So Yes, A satisfies both inequalities.
Do the same for point E (5,-4)
Part C: the line y<-2x+4 is a dotted line going through (0,4) and (-2,0)
the shaded area is below the line
farms A, B, and D are in this shaded area.
