jackfrost5
17.11.2019 •
Mathematics
The diagram shows a sliced pizza . the largest slice shown is what fraction of the pizza .
a ( 1/2
b ( 1/4
c ( 1/5
d ( 1/8
Solved
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Ответ:
Ответ:
Explanation:
The line y = 2 is a horizontal line passing through 2 on the y axis. Every point on this line has a y coordinate of 2. Since both A and B are on this line, this means AB is horizontal as well. This can be thought of as the base of the triangle. AB = 6 is the length of the base.
We don't know the height, so we'll call that h.
We do know the triangle area is 9 square units
The formula we'll use is
area = (base*height)/2
Plug in the given values and solve for h
9 = (6*h)/2
9*2 = 6h
18 = 6h
6h = 18
h = 18/6
h = 3
The height of the triangle is 3. This means that point C is either 3 units below y = 2 or point C is 3 units above y = 2.
If points C is 3 units below y = 2, then its y coordinate would be 2-3 = -1. But this isn't an answer choice. So we ignore this scenario.
If point C is 3 units above y = 2, then this point has a y coordinate of 2+3 = 5.
Below is one possible diagram of how the triangle could look like. Point C is always fixed at (-3,5); however point A is allowed to slide around as long as it has a y coordinate of y = 2. Point B is a similar story as point A. Furthermore, segment AB must always be 6 units long.