Answer:
80 units ^2
Step-by-step explanation:
The semicircle that is added on to the rectangle can be translated to fit into the slot where a semicircle has been removed (both semicircles are congruent as they have the same diameter). This leaves us with a plain rectangle, with area b * h, or 8 * 10, or 80.
Answer:
on reflection on x axis
P(x,y) = P' (x, -y)
so
(-6, 7) = (-6, -7)
Step-by-step explanation:
The slope is -1/4, which is -0.25x. We know that we are exactly 8 units to the left of the y axis, so we can use the slope to determine the change within the coordinates as the line moves across the graph. The slope has a rise of -1 and a run of 4, meaning every 4 units to the right will be 1 unit up. We must move 8 units to the right, which in turn moves the graph down 8 quarter units. 8 x (1/4) is 2, so we know that the graph has moved down 2 units. (Down because the graph has a negative slope). (-8,3)->(0,1). From this coordinate, we can see the y intercept is 1. Since y=mx+b, we can write y=-1/4x+1. This is your equation. (Sorry for the length, wanted to be thorough)
Answer:
0.23333333...
Step-by-step explanation:
X+2/3 = 9/10. X = 9/10 - 2/3 = 27/30 - 20/30 = 7/30 = 0.2333333...
Answer:
2 pigs, 13 turkeys
Step-by-step explanation:
34=2t+4p (equation for legs)
t+p=15 (equation for total # of animals) --> t=15-p
substitution:
34=2(15-p)+4p
p=2
plug back in to other equation
t=15-(2)
t= 13
