Answer:
h = 3V/(πr²)
Step-by-step explanation:
You are asked to solve a one-step linear equation for h.
<h3>Solution</h3>The "one step" is to divide by the coefficient of h.
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<em>Additional comment</em>
The equation is "linear" because the variable of interest is h. It has an exponent (degree) of 1. The other "variables" are treated as though they were constants. The equation is conceptually no different from ...
2 = (5/3)h
which you solve by dividing by 5/3 (or multiplying by 3/5).
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Answer:
Step-by-step explanation:
Transformation of parent function f(x) into g(x) = c·f(x-h)+k is a vertical scaling by a factor of c, and translation by (h, k) units to the right and up. If c is negative, then a reflection over the x-axis is also part of the transformation. Once you identify the parent function (here: x² or √x), it is a relatively simple matter to read the values of c, h, k from the equation and list the transformations those values represent.
For most functions, points differing from the vertex by 1 or 2 units are usually easily found. Of course, the vertex is one of the points on the function.
<h3>1.</h3>(c, h, k) = (2, -1, -5)
Points: (-1, -5), (-2, -3), (0, -3)
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<h3>2.</h3>(c, h, k) = (1/2, 3, 1)
Points: (3, 1), (1, 3), (5, 3)
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<h3>3.</h3>(c, h, k) = (-2, -3, -4)
Points: (-3, -4), (-2, -6), (1, -8)
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<em>Additional comment</em>
For finding points on the parabolas, we use our knowledge of squares and roots:
1² = 1, 2² = 4
√1 = 1, √4 = 2
