Find the value of the variable y that results in congruent triangles
1 answer:
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<h3>
</h3><h3 /><h3 /><h3>The area is 7000.</h3>
The base of the cylinder = 5000 sq.cm
Height = 14cm
The volume of the cylinder = 5000× 14 = 7000
<h3>HOPE IT HELPS YOU :)</h3>Answer:
(-y, x)
Step-by-step explanation:
See the image attached.
We start with (x,y), this is, x in the abscissa axis and y in the ordinates axis. When we rotate it 90 degrees clock wise, the measure on the ordinates goes to the abscissa while the abscissa goes to the ordinates. You have to notice that this last movement is to the negative part of the ordinate axis. Here we pass from (x, y) to (y, -x).
Then you rotate again, going to a 180 degrees rotation in total. The movement is the same: ordinates values go to the abscissa value. So, the -x that was on ordinates goes to the abscissa and the y in the abscissa goes to ordinates. However this last movement implies a negative sign in the y value, as we are going from positive to negative values. So, we pass from (y, -x) yo (-x, -y).
Finally we move again for reaching the 270 degrees rotation. Similar to the last 2 movements, -x passes from abscissa to ordinates and becoming x as we the sign is positive. In the same way, the -y in the ordinates goes to the abscissa and still being -y as we still on negative values. So, we finish with (-y, x).
So, this is the final answer: (-y, x)
Here I also attach a numerical example.
<h3>Answer: Choice D</h3>
- Domain: all real numbers
- Range:
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Explanation:
The domain is the set of allowed x inputs. We can plug in any x value we want as the graph stretches on forever to the left and to the right. There aren't any division by zero errors or any issues like that to worry about, so that's why we don't kick out any x values from the domain.
The domain being all real numbers translates to the interval notation which is basically saying
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The range is the set of y outputs possible. The graph shows that y = 1 is the smallest y output, so y = 1 or y can be greater than this.
In short, is the range which converts to the interval notation
which is the same as saying
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Extra info:
The equation of this absolute value function is y = |x|+1