For this case we have the following system of equations:

Equating both equations we have:

We must find the solutions, for this we factor. We look for two numbers that, when multiplied, result in 4 and when added, result in 5. These numbers are 4 and 1:

Then, the factorized equation is of the form:

Thus, the solutions are:

We look for solutions for the variable "y":

Thus, the system solutions are given by:
ANswer:

The answers should be: (-2,5), (-2,-2), (-6,-1), (2,1)
Hope this helped :)
9514 1404 393
Answer:
(a) one parallelogram
(b) opposite sides are 3 inches and 4 inches. Opposite angles are 45° and 135°
(c) yes, all side lengths can be determined, see (b)
Step-by-step explanation:
Opposite sides of a parallelogram are the same length, so if one side is 3 inches, so is the opposite side. Similarly, if one side is 4 inches, so is the opposite side. If sides have different lengths, they must be adjacent sides. The given numbers tell us the lengths of all of the sides.
The 4 inch sides are adjacent to the 3 inch sides. Thus the angle between a 4 inch side and a 3 inch side must be 45°. Opposite angles are congruent, and adjacent angles are supplementary, so specifying one angle specifies them all.
Only one parallelogram can be formed with these sides and angles. (The acute angle can be at the left end or the right end of the long side. This gives rise to two possible congruent orientations of the parallelogram. Because these are congruent, we claim only one parallelogram is possible. Each is a reflection of the other.)
Answer:
Relative minimum : -36
Relative maximum : 64
The rate of change is 336 greater
Step-by-step explanation:
Relative minimum are the minimum values in the interval
Looking at the graph, we find the lowest point in the interval
Relative minimum : (-3, -36) and (3,-36) y value -36
Looking at the graph, we find the highest point in the interval
Relative maximum : (0,64) y value 64
Average rate of change = f(x2) - f(x1)
---------------
x2 - x1
f(7) - f(5) 1469 - 549 920
------------- = --------------- = ------- = 460
7-5 7-5 2
f(4) - f(2) 287 - 39 248
------------- = --------------- = ------- = 124
4-2 4-2 2
We need to subtract
460-124
336