Answer:
26 ft and 46 ft.
Step-by-step explanation:
The prime factors of 42 are 2 * 3 * 7.
Possible lengths and widths are:
L = 7, W = 6 giving a perimeter of 2*7 + 2*6 = 26 ft.
L = 14 , W = 3 giving perimeter = 34 ft.
L = 21, W = 2 giving perimeter = 46 ft.
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.
Answer:
x = 37
Step-by-step explanation:
by using vertically opp angles
2x + 1 = 75
First, you need to know what equation form you need to write: point slope, slope-intercept, etc. Considering this case, you need to know the slope, then you must know the y-intercept, and and write like this: ( my example here is for the SLOPE- INTERCEPT form) y=slope times X + y-intercept.
Hope it helps :D
