Answer:
Step-by-step explanation:
<u>Given system:</u>
The solution is the common area shaded by the inequalities.
The lines are parallel because of same slope.
Both lines are solid because of equal sign in both inequalities.
The first inequality has a y-intercept of 1 and shaded area is to the left of the line since the value of y is greater as x increases.
The second inequality has a y-intercept of -2 and shaded area is to the right of the line since the value of y is greater as x increases.
The matching graph is the second picture (or attached below) and there is no solution.
Center c and a scale factor of 2
The two triangles we can see in the diagram are similar, which means that their measurements are proportional. Line MN on the larger triangle MNP is 71.5ft long, and its corresponding line, MA, on the smaller triangle is 71.5-22= 49.5ft long. This means that the scale factor from the bigger to the smaller triangle is 71.5/49.5=13/9.
If line MP on the bigger rectangle is 97.5ft long, then its corresponding line, MB, must be 97.5÷13/9=67.5 ft long.
Therefore, x=67.5 ft
Answer:
The width is 10 inches
Step-by-step explanation:
Perimeter = 2(Length + Breadth)
Length(L) = 3B + 5
Perimeter = 70
70 = 2(3B + 5)
70 = 6B + 10
70 - 10 = 6B
60 = 6B
60/6 = B
B = 10 inches
Simplified answer is 4+8i