<span>The ratio of the rise and the run, called the difference quotient, that equals the value of the tangent of the angle between the direction of the secant line and x-axis, becomes the slope (gradient) of the tangent line as the difference Dx tends to zero, and is called the instantaneous rate of change or the derivative at the point of the function.
For a given function ƒ and point (x1, ƒ (x1)), the derivative of ƒ at x = x1 is the slope of the tangent line through the point (x1, ƒ (x1)), i.e., f '(x1) = tan at
The gradient of a curve at a point on its graph, expressed as the slope of the tangent line at that point, represents the rate of change of the value of the function and is called derivative of the function at the point
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The required temperature at the height of 1200 meters is 13 degree Celcius.
Given that,
Temperature drops an average of 1 degree celsius for every 100 meters that a hot air balloon rises.
The temperature is 25 degrees celsius on the ground.
The approximate temperature is 1200 meters above the ground is to be determined.
<h3>What are functions?</h3>
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
The expression of for temperature drops an average of 1-degree celsius for every 100 meters that a hot air balloon rises.
Let x be the height in meters and y be the temperature in degrees celcius
y = -x/100 + 25
For temperature 1200 meters above ground
x = 1200
y = -1200/100 + 25
y = -12 + 25
y = 13
Thus, the required temperature at the height of 1200 meters is 13 degrees Celcius.
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The formula for finding the Volume of square pyramid is given by :
where a is base edge and,
h = height.
We are given in the figure,
base edge = 18cm
Height =12 cm
So plugging these values in the formula for volume , we have
On solving we get ,
Volume of square pyramid = 1296 cm³.
So first option is the correct choice .
Answer:
A) It can be a line of best fit because it is closest to most data points.
Step-by-step explanation:
Recall that the line of "best fit" is the line that minimizes the distance to all plotted points. It doesn't have to go through all of the date points since they may not be perfectly aligned. It also doesn't have to go through the first and last points either.
7x+(-14)
-14+7x
These two equations are both equal to 7x-14.
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