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The slope of y = 3x - 4 on the interval [2, 5] is 3 and the slope of y = 2x^2-4x - 2 on the interval [2, 5] is 10
<h3>How to determine the slope?</h3>The interval is given as:
x = 2 to x = 5
The slope is calculated as:
<u>16. y = 3x - 4</u>
Substitute 2 and 5 for x
y = 3*2 - 4 = 2
y = 3*5 - 4 = 11
So, we have:
Divide
m = 3
Hence, the slope of y = 3x - 4 on the interval [2, 5] is 3
<u>17. y = 2x^2-4x - 2</u>
Substitute 2 and 5 for x
y = 2 * 2^2 - 4 * 2 - 2 = -2
y = 2 * 5^2 - 4 * 5 - 2 = 28
So, we have:
Divide
m = 10
Hence, the slope of y = 2x^2-4x - 2 on the interval [2, 5] is 10
Read more about slopes at:
#SPJ1
Oblique Cone
The volume of the oblique cone is 144.49 cubic inches , if an oblique cone has a radius of 4 units, a height of 8.5 units, and a slant length of 11.7 inches.
Step-by-step explanation:
An oblique cone has a radius of 4 units
A height of 8.5 units
A slant length of 11.7 inches
We have to use the slant height to calculate actual base
So in a right angle triangle when two sides are given the third side is calculated by
Root (sqr(11,7) - sqr(8.5)) = 8.03 units
⇒ 8.03 units
Formula to calculate the volume of oblique cone,......................(1)
V =
If r is the distance of the base of the height from the center of the circle [ this is because the base of the height is outside the oblique cone]
V =
Where r is the distance if the base of the height from the center of the circle [ this is because the base of the height is outside the oblique cone]
Here r = 8.03 - 4 = 4.03 units
Volume = × 3.14 × 4.03 × 4.03 × 8.5
Volume = 144.49 cubic inches
Hence, the volume of the oblique cone is 144.49 cubic inches , if an oblique cone has a radius of 4 units, a height of 8.5 units, and a slant length of 11.7 inches.