Given that g(4)=9 and g(-11)=k, find the value of k that would result in a slope of 5 between the two points.

Step-by-step explanation:

So we are given two values:

They can be interpreted as: (4,9) and (-11,k).

So, we want to find the value of k such that the slope of the line between the two points would be 5.

Recall the slope formula. It is:

Let (4,9) be x₁ and y₁ and let (-11,k) be x₂ and y₂. Substitute 5 for m. Therefore:

Simplify the denominator:

Multiply both sides by -15. The right side cancels:

Now, add 9 to both sides. The right side cancels.

Therefore, k is -66.

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

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