Find the area of the circle.
1 answer:
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Answer:
i. D:All real numbers
ii.R:
iii. Y-int:
Step-by-step explanation:
The given function is
The domain of this function are the values of x that makes the function defined.
The absolute value function is defined for all real values.
The domain is all real numbers.
ii. The range refers to the values of y for which x is defined.
The vertex of this function is
The function is reflected in the x-axis.
The vertex is therefore the maximum point on the graph of the function.
The range is therefore;
Or
![(-\infty,2]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C2%5D)
iii. To find the y-intercept, we substitute
into the funtion.
The y-intercept is
The graph is shown in the attachment.
i. D:All real numbers
ii.R:
iii. Y-int:
Step-by-step explanation:
The given function is
The domain of this function are the values of x that makes the function defined.
The absolute value function is defined for all real values.
The domain is all real numbers.
ii. The range refers to the values of y for which x is defined.
The vertex of this function is
The function is reflected in the x-axis.
The vertex is therefore the maximum point on the graph of the function.
The range is therefore;
Or
iii. To find the y-intercept, we substitute
The y-intercept is
The graph is shown in the attachment.
Answer:
- B) One solution
- The solution is (2, -2)
- The graph is below.
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Explanation:
I used GeoGebra to graph the two lines. Desmos is another free tool you can use. There are other graphing calculators out there to choose from as well.
Once you have the two lines graphed, notice that they cross at (2, -2) which is where the solution is located. This point is on both lines, so it satisfies both equations simultaneously. There's only one such intersection point, so there's only one solution.
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To graph these equations by hand, plug in various x values to find corresponding y values. For instance, if you plugged in x = 0 into the first equation, then,
y = (-3/2)x+1
y = (-3/2)*0+1
y = 1
The point (0,1) is on the first line. The point (2,-2) is also on this line. Draw a straight line through the two points to finish that equation. The other equation is handled in a similar fashion.
Answer:
They are skew and will never intersect.
Step-by-step explanation:
see attachment for the missing figure
Lines a and b are skew lines since they are not parallel and they do not intersect. The explanation that they don't intersect is on the grounds that each line is in a parallel plane. Parallel means heading off to the same direction but neither converging nor diverging.
