A construction elevator can carry at most 2,320 pounds. If the elevator operator weighs 195 pounds and each palette of roofing m
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Answer:
Step-by-step explanation:
First off, <em>B</em> is zero, so there is no <em>phase shift</em>, meaning that the vertex stays on the y-axis. Next, <em>A</em> is negative, so the parabola opens down, and whenever you have a parabola opening down, it does so at maximum. Finally, <em>C</em> represents our y-intercept, or in this case, our <em>vertical shift</em>. Our y-intercept is (0, −1), and so as our vertex, hence our answer.
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We presume the temperature is decreasing at midnight, so reaches a low at 6 a.m.. The amplitude of the variation is (87-63)/2 = 12 degrees. We want the period to be 24 hours, so the argument of the sine function will be 2π(t/24) = πt/12. Then we can write
... d = 75-12sin(π·t/12)
Answer:
A′B′ and AB are equal in length.
Step-by-step explanation:
Given that the location of the points are at A(1, 3) and B(5, 3).
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.
Rigid transformation are transformation that preserves the shape and size when performed. Types of rigid transformation are reflection, rotation, translation.
Hence if AB is rotated 270 degrees counterclockwise about the origin to form A′B′, both A′B′ and AB are equal in length because rotation is a rigid transformation.
If A(x,y) is rotated 270 degrees counterclockwise about the origin, it becomes A'(y,-x).
Hence if AB is rotated 270 degrees counterclockwise about the origin to form A'(3, -1), B'(3, -5)