Please help! I’m stuck!
1 answer:
Answer:
see attachments
Step-by-step explanation:
A) The graph is three horizontal line segments.
Since the domain expressions all have ≤ on the left end of the interval and < on the right end, there will be a closed dot at the left end of each graph segment and an open dot at the right end.
The first segment is at y = -5 between x = -5 and x = -1.
The second segment is at y = -1 between x = -1 and x = 2.
The third segment is at y = 2 between x = 2 and x = 5.
See the first attachment for a graph.
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B) You are given the graph for the middle segment, so you only need to graph the horizontal lines for the other two.
The first segment is a horizontal line at y = 1, extending to the left from x = -1.
The last segment is a horizontal line at y = 4, extending to the right from x = 2.
The segments of the graph connect with each other, so there is no need to indicate any discontinuities using closed/open circles.
See the second attachment for a graph.
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The <u>correct answers</u> are:
1/6πd³;
3; and
9 cm.
Explanation:
For the <u>first question</u>:
The formula for the volume of a sphere is:
We have the diameter, not the radius. The diameter is twice as much as the radius; this means to find the radius using the diameter, we divide by 2. This gives us:
When we raise a fraction to a power, we raise both the numerator and the denominator to that power. This gives us:
We start multiplying this:
For the <u>second question</u>:
The planes of symmetry are the planes through which we can fold the figure in half. These are in the middle horizontally through the figure; in the middle vertically (through the width) through the figure; and in the middle vertically (through the length) through the figure. This makes 3.
For the <u>third question</u>:
The formula for the volume of a triangular prism is:
,
where b is the base of the triangular base of the pyramid, h is the height of the triangular base of the pyramid, and H is the height of the pyramid.
We know the volume is 90; the base of the triangle is 12 and the height is 5:
We divide both sides by 10:
90/10 = 10H/10
9 = H
1/6πd³;
3; and
9 cm.
Explanation:
For the <u>first question</u>:
The formula for the volume of a sphere is:
We have the diameter, not the radius. The diameter is twice as much as the radius; this means to find the radius using the diameter, we divide by 2. This gives us:
When we raise a fraction to a power, we raise both the numerator and the denominator to that power. This gives us:
We start multiplying this:
For the <u>second question</u>:
The planes of symmetry are the planes through which we can fold the figure in half. These are in the middle horizontally through the figure; in the middle vertically (through the width) through the figure; and in the middle vertically (through the length) through the figure. This makes 3.
For the <u>third question</u>:
The formula for the volume of a triangular prism is:
where b is the base of the triangular base of the pyramid, h is the height of the triangular base of the pyramid, and H is the height of the pyramid.
We know the volume is 90; the base of the triangle is 12 and the height is 5:
We divide both sides by 10:
90/10 = 10H/10
9 = H