A = 864
w = 2/3l
A = lw
Plug in what we know:
864 = l(2/3l)
Multiply:
864 = 2/3l^2
Divide 2/3 to both sides or multiply by its reciprocal, 3/2:
864 * 3/2 = l^2
2592/2 = l^2
1296 = l^2
Find the square root of both sides:
l = 36
So the length of the basement is 36 feet.
A straight line passing through the point (-2,1) and having a gradient of -3 yields the equation y = -3x - 5.
We know that a straight line is an infinitely long line with no curves on it. A straight line's equation is
y = mx + c...(1), where m is the gradient of the straight line and c is a constant.
Given that the gradient of the given straight line = m = -3.
Putting this value in (1), we get
y = -3x + c ...(2)
Again, the given straight line passes through the point (-2,1). So, we can put x = -2 and y = 1 to get the value of the constant c.
So, 1 = (-3)(-2) + c
i.e. 6 + c = 1
i.e. c = 1 - 6 = -5
(2) can be written as
y = -3x - 5
Therefore the equation of the given straight line is
y = -3x - 5
Know more about straight lines here -
brainly.com/question/8085796
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F^-1(x) should be the answer.
Answer:
It is growth and the percentage rate of increase is 7.5%
Step-by-step explanation:
The exponential equation is as follows;
y = 550(1.075)^x
Now, I can identify that the exponential equation is that of growth.
This is because what is in the bracket i.e can be represented as 1+ 0.075
The 0.075 represents the margin of increase as we move on from one value to another
The percentage rate can be gotten by expressing 0.075 as a percentage
That would be expressing is as a fraction
This is just 7.5/100 which means what we have is 7.5%
That would be 0.2
Hope this helps. :)
