Can someone please help me With explanation please ty
1 answer:
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Answer:
(x-5)(x+2)
Step-by-step explanation:
Hello there!
Your expression there has a highest power of , so there will be two constants that you need to find.
Your last term is -10, so the constants will have a product of -10. Also your middle term is -3x, so the terms will add up to -3
-5 and 2 fit the mold.
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Answer:
The standard equation of the sphere is
Step-by-step explanation:
From the question, the end point are (3,-2,4) and (7,12,4)
Since we know the end points of the diameter, we can determine the center (midpoint of the two end points) of the sphere.
The midpoint can be calculated thus
Midpoint =
Let the first endpoint be represented as and the second endpoint be
.
Hence,
Midpoint =
Midpoint =
Midpoint =
Midpoint =
This is the center of the sphere.
Now, we will determine the distance (diameter) of the sphere
The distance is given by
This is the diameter
To find the radius, r
From
∴
r =
Now, we can write the standard equation of the sphere since we know the center and the radius
Center of the sphere is
Radius of the sphere is
The equation of a sphere of radius r and center is given by
Hence, the equation of the sphere of radius and center
is
This is the standard equation of the sphere