When the radius is doubled, the volume of a cylinder quadruple
Answer:
Step-by-step explanation:
So, we started out with 128 ounces of milk.
Each day, Joann drinks 14 ounces of milk.
Therefore, the amount of milk left over after x days is 14 times x subtracted from 128.
Therefore, our function is:
And we're done!
Answer:
Step-by-step explanation:
The segment joining an original point with its rotated image forms a chord of the circle of rotation containing those two points. The center of the circle is the center of rotation.
This means you can find the center of rotation by considering the perpendicular bisectors of the segments joining points with their images. Here, the only proposed center that is anywhere near the perpendicular bisector of DE is point M.
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Segment AD is perpendicular to corresponding segment FE, so the angle of rotation is 90°. (We don't know which way (CW or CCW) unless we make an assumption about which is the original figure.)
Area of rectangle is the multiplication between the sides.
The first rectangle:
A = (2x + 5) . (3x - 2)
A = 2x . 3x - 2 . 2x + 5 . 3x - 2 . 5
A = 6x² - 4x + 15x - 10
A = 6x² + 11x - 10
The second rectangle:
A = (5y + 5) . (2y - 3)
A = 5y . 2y - 3 . 5y + 5 . 2y - 3 . 5
A = 10y² - 15y + 10y - 15
A = 10y² - 5y - 15
