35 POINT QUESTION!! WILL GIVE BRAINLIEST!! Is x + 2 a factor of P(x) = 2x^3 + 5x^2 + 5x + 6?
1 answer:
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Answer:
Step-by-step explanation:
we know that
The smallest cube that could circumscribe the sphere has a length side equal to the diameter of the sphere
In this problem
The radius of the sphere is
The diameter of the sphere is two times the radius
so
The length side of the cube is
Remember that
The surface area of a cube is equal to the area of its six faces
so
substitute the value of b
Step-by-step explanation:
You need to translate all the points to the right 3 and up 6
Therefore, you are going to use this formula:
(x,y) ⇾ (x + 3, y + 6)
This is the same format as the previous problem, if you have noticed.
Using this, plug in each coordinate, starting with P (5, -1)
(5, -1) ⇾ ( 5 + 3, -1 + 6)
(5, -1) ⇾ ( 8, 5 )
P = (8, 5)
Now point Q, (0, 8)
(0, 8) ⇾ (0 + 3, 8 + 6)
(0, 8) ⇾ ( 3, 14 )
Q = (3, 14)
And last but not least, the point R, (7, 5)
(7, 5) ⇾ (7 + 3, 5 + 6)
(7, 5) ⇾ ( 10, 11 )
R = (10, 11)
Therefore, P = (8, 5), Q
= (3, 14), R
= (10, 11) is your answer. This is the 4th option or D.
Hope this for you to understand this a bit more! =D