Option D: The distance between the two points is 13 units
Explanation:
It is given that the two points are 
and 
We need to determine the distance between the two points.
It is also given that the distance between the two points can be determined using the formula,
Substituting the points and for the coordinates 
and 
Thus, we get,
Simplifying, we have,
Adding the terms, we get,
Squaring the terms, we have,
Adding the terms, we get,
Simplifying and rounding off the value to the nearest tenth, we have,
Hence, the distance between the two points is 13 units.
Therefore, Option D is the correct answer.
Given y = xy + x^2 +1, first find y = f(x) = (x^2 + 1) / (1 - x). Then use the quotient rule for derivatives.
dy/dx = [( 1 - x)( 2x) - (x^2 + 1)(-1)] / (1 - x)^2. Substitute the value of x = -1 into the above derivative and get -1/2.
I think
This is your typical algebra question where you are looking for an unknown value given some information. The information can be set up as:
8 - x = 4*(x +3)
Distribute the 4:
8 - x = 4x + 12
Rearrange to get variables on one side:
8 - 12 = 4x + x
Simplifiy:
-4 = 5x
Isolate the variable:
-4/5 = x
98 x 863 = ?
Answer is 84,574
Answer:
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