a counterclockwise rotation about the origin of 90°
The coordinates of P(3, 3), Q(5, 3), R(5, 7)
The coordinates of P'(- 3, 3 ), Q'(- 3, 5), R'(- 7, 5)
Note that the y-coordinate of the image is the negative of the original, while the x-coordinate of the original becomes the y-coordinate of the image
The rotation which does this is a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x )
I believe the answer is ×^3 +8x-10 over x + 2
The correct answer is option a) revitalizes . . consign to.
In her poems, Alice Walker retrieves and revitalizes parts of Black culture that some have been all too quick to consign to the past as fossilized artifacts.
The meaning of "revive" is "to strengthen," whereas "retrieve" is "to recuperate or regain."
Furthermore, the phrase "consign to the past" refers to sending something into the past in order to get rid of or get away from it, therefore Option A is the best fit for the statement.
As a result, by removing its ancient, fossilized objects, the poet is attempting to reclaim or reinforce some aspects of black culture.
Learn more about Alice Walker
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Answer:
A) Radius: 3.44 cm.
Height: 6.88 cm.
B) Radius: 2.73 cm.
Height: 10.92 cm.
Step-by-step explanation:
We have to solve a optimization problem with constraints. The surface area has to be minimized, restrained to a fixed volumen.
a) We can express the volume of the soda can as:
This is the constraint.
The function we want to minimize is the surface, and it can be expressed as:
To solve this, we can express h in function of r:
And replace it in the surface equation
To optimize the function, we derive and equal to zero
The radius that minimizes the surface is r=3.44 cm.
The height is then
The height that minimizes the surface is h=6.88 cm.
b) The new equation for the real surface is:
We derive and equal to zero
The radius that minimizes the real surface is r=2.73 cm.
The height is then
The height that minimizes the real surface is h=10.92 cm.
Answer:
18 centimeters
Step-by-step explanation:
Divide the circumference by π, or 3.14 for an estimation. The result is the circle's diameter.
Divide the diameter by 2.
There you go, you found the circle's radius