Answer:
23.5 inches^2
Step-by-step explanation:
Area of triangle = 1/2 * base * height
area = 1/2 * (5+2) * (5+4)
area = 31.5 in^2
Area of rectangle = length * breadth
area = 4 * 2
area = 8 in^2
Area of figure = area of triangle - area of rectangle
area = 31.5 - 8
area =23.5 in^2
Answer:
Step-by-step explanation:
1.Based on the equation the y-intercept is -2(go down 2 places on the y axis)
2.Since here is only x in the equation the rise over run will be 1/-1 (go up 1 and to the left 1 from the point -2 on the y axis) keep doing that all the way down the graph marking your points, also reverse the process going down 1 and to the right 1 to mark the points on the opposite side.
3.Draw the line through the points you marked from step 2
4.In the equation it is x-2 so it is a positive slope and a negative y-intercept
m=1
b= -2
Answer:
(3, 0).
Step-by-step explanation:
dentifying the vertices of the feasible region. Graphing is often a good way to do it, or you can solve the equations pairwise to identify the x- and y-values that are at the limits of the region.
In the attached graph, the solution spaces of the last two constraints are shown in red and blue, and their overlap is shown in purple. Hence the vertices of the feasible region are the vertices of the purple area: (0, 0), (0, 1), (1.5, 1.5), and (3, 0).
The signs of the variables in the contraint function (+ for x, - for y) tell you that to maximize C, you want to make y as small as possible, while making x as large as possible at the same time.
Hence, The Answer is ( 3, 0)
Answer:

Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m∠LOM+m∠MON=m∠LON ----> by angle addition postulate
we have
m∠LOM=2x°
m∠MON=x°
m∠LON=90° ----> is a right angle
substitute the values

solve for x


3 sevenths plus 2 sevenths equals 5 sevenths
3/7 + 2/7 = 5/7 because you're adding 3 and 2 which gives you 5.