The Diameter of sphere is 2cm.
Step-by-step explanation:
Given,
Volume of sphere = 
Let,
diameter = d
As we know,
Volume of sphere = 
Therefore,
We know that,
Diameter = 2r
Diameter = 2*1
Diameter = 2 cm
The Diameter of sphere is 2cm.
Keywords: Volume, Diameter
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If <em>x</em> + 1 is a factor of <em>p(x)</em> = <em>x</em>³ + <em>k</em> <em>x</em>² + <em>x</em> + 6, then by the remainder theorem, we have
<em>p</em> (-1) = (-1)³ + <em>k</em> (-1)² + (-1) + 6 = 0 → <em>k</em> = -4
So we have
<em>p(x)</em> = <em>x</em>³ - 4<em>x</em>² + <em>x</em> + 6
Dividing <em>p(x)</em> by <em>x</em> + 1 (using whatever method you prefer) gives
<em>p(x)</em> / (<em>x</em> + 1) = <em>x</em>² - 5<em>x</em> + 6
Synthetic division, for instance, might go like this:
-1 | 1 -4 1 6
... | -1 5 -6
----------------------------
... | 1 -5 6 0
Next, we have
<em>x</em>² - 5<em>x</em> + 6 = (<em>x</em> - 3) (<em>x</em> - 2)
so that, in addition to <em>x</em> = -1, the other two zeros of <em>p(x)</em> are <em>x</em> = 3 and <em>x</em> = 2
The answer for -3/8 divided by -6/7 is 7/16
Answer:
y = -2x -4
Step-by-step explanation:
The equation of a line is y = mx + b, where m is the slope of the line, and b is the y-intercept. We are told that the slope of the line is -2, so we can start with
y = mx + b
y = -2x + b
We can figure out the value of b by plugging in the coordinates of the point given (-2, 0)
0 = -2(-2) + b
0 = 4 + b
Subtract 4 from both sides of the equation
-4 = b
Then plug that value of b back into the equation above:
y = -2x + (-4) or y = -2x -4
Answer:
10
Step-by-step explanation:
