The equation of the line is
Explanation:
Given that the line passes through the points (-5,-3)
The slope of the line is
We need to determine the equation of the line.
<u>Equation of the line:</u>
The equation of the line can be determined using the formula,
Let us substitute the points (-5,-3) and the slope in the above formula.
Thus, we have;
Simplifying, we get;
Subtracting 3 from both sides of the equation, we get;
Hence, the equation of the line in slope - intercept form is
Answer:
Step-by-step explanation:
We are given the function:
Let's find the inverse of g.
Call y=g(x):
We need to solve for x. Multiply both sides by x-2 to eliminate denominators:
Operate:
Collect the x's to the left side and the rest to the right side of the equation:
Factor the left side and operate on the right side:
Solve for x:
Interchange variables:
Call y as the inverse function:
Answer:
x=4.63
Step-by-step explanation:
Area = (1/2) (base) (height)
20 = (1/2) (x+4) (x)
40 = x²+4x
x²+4x-40=0
Put in quadratic equation:
x=
x=
x=4.63324958071 or x=-8.63324958071
Since x can't be negative in this case we take our answer to be 4.63324958071, which rounds to 4.63
