Suppose the following equation is true: 3^x=81^y What is the connection between x and y?
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Greetings!
Answer:
2y = x - 6
Step-by-step explanation:
First, we must find the slope of the current equation.
This is the number in front of the x.
Seeing as this is -2x, the slope of this line is -2
When finding the slope of a line perpendicular, you need to find the
So, in this case it is:
The negatives cancel out which leave
So the gradient is
Now, to find the equation of a line, you need to use:
y - y1 = m(x - x1)
Where ya and x1 are the values in the coordinates (2 , -2)
So y1 = -2, x1 = 2, and m is a half. Plug these values in:
y - - 2 =
We need to get rid of the half so we multiply the whole equation by 2:
2y - - 4 = (x - 2)
The minus and the negative turn into a positive:
2y + 4 = x - 2
And now simply move the +4 over to the other side, making it a negative:
2y = -2 - 4 + x
Simplify:
2y = x - 6
<h3>So the equation of the line is 2y = x - 6</h3><h2>Hope this helps!</h2>
The height is increasing at the rate of (6/5π) ft/min.
It is given that Gravel is being dumped from a conveyor belt at a rate of 40 ft3/min. Also, its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal.
For this, we need to find the volume of a cone. Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.
The volume of a cone is - V=1/3hπr²
Learn more about integers here: brainly.com/question/20521181
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