Why is it preferable to measure a penny in millimeters rather than centimeters or meters?
2 answers:
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Given:
The track is a square with a half circle on its left and right sides.
The area of the square is 128 square feet.
To find:
The length of the track.
Solution:
Let side length of the square be x.
Area of square is
Taking square root on both sides.
From the given table 127.7 is closed to 128. So, is 11.3.
Diameter of circle = Side of square = 11.3.
The track has 2 sides of the square and the distance around 1 complete circle(s).
Radius of circle is
Length of the truck is sum of length of square and radii of two circles.
Therefore, the total length of the truck is 22.6 feet.
Answer: h(x) = |x+10|
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Explanation:
To shift the graph 10 units to the left, we replace x with x+10. What's really going on is that the xy axis shifts 10 units to the right (because x is now x+10; eg, x = 2 ---> x+10 = 2+10 = 12) so it appears that the graph is moving to the left. The general rule is h(x) = g(x+10).
So,
g(x) = |x|
g(x+10) = |x+10| ... every x has been replaced with x+10
h(x) = g(x+10)
h(x) = |x+10|
We can use a graphing tool like GeoGebra to visually confirm we have the right answer (see attached). Note how a point like (0,0) on the green graph moves to (-10,0) on the red graph.
---------------------------------------------------------
Explanation:
To shift the graph 10 units to the left, we replace x with x+10. What's really going on is that the xy axis shifts 10 units to the right (because x is now x+10; eg, x = 2 ---> x+10 = 2+10 = 12) so it appears that the graph is moving to the left. The general rule is h(x) = g(x+10).
So,
g(x) = |x|
g(x+10) = |x+10| ... every x has been replaced with x+10
h(x) = g(x+10)
h(x) = |x+10|
We can use a graphing tool like GeoGebra to visually confirm we have the right answer (see attached). Note how a point like (0,0) on the green graph moves to (-10,0) on the red graph.