The answer is yes.
this is a right isosceles triangle, so it is a 45-45-90 triangle. From the given information, we know the origin (0,0) is the vertex where the 90 degree angles is. one leg is on the x axis, the other one the y axis. Note: the triangle can be in any of the four quadrants. x and y can be both positive and negative.
the area of the triangle is 50, A=half of leg * leg, since the two legs are of equal length, each leg is √100=10
There are four possibilities for the other two vertices:
first quadrant: (10, 0) , (0, 10)
second quadrant: (-10, 0) and (0, 10)
third quadrant: (-10, 0) and (0, -10)
fourth quadrant: (10, 0) and (0, -10)
The quotient(division) of a number(x) and 9 is(equals) 3
[x represents the unknown number]
Your answer is the 4th option
To find the volume of a rectangular prism, we can use the formula [ V = l * w * h ]
V = 5 * 2 1/2 * 1 1/2
V = 12 1/2 * 1 1/2
V = 18 3/4cm³
Now that we know the volume, we can check each answer choice.
Option A:
5 ∙ 2 1/2 ∙ 1 1/2
12 1/2 * 1 1/2
18 3/4cm³
Option B:
12 1/2 ∙ 1 1/2
18 3/4cm³
Option C:
1 1/2(5 + 2 1/2)
1 1/2(7 1/2)
11 1/4cm³
Option D:
1/2(12 1/2 ∙ 1 1/2)
1/2(18 3/4)
9 3/8cm³
Therefore, the only correct options are A and B.
Best of Luck!
Answer:
Concept: Inverse Functions
- We want the inverse of a root function which is x^1/2
- Now we combine that result to get
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