Answer:
y=3x-9
Step-by-step explanation:
Hi there!
we are given a point (4,3), and a line (y=-1/3x+4)
Perpendicular lines have slopes that are negative and reciprocal; if they are multiplied together, the result is -1
first, let's find the slope of the new line.
we can find it with this formula: (m=slope)
-1/3m=-1
multiply both sides by -3
m=3
here's our equation so far, written in y=mx+b form, where m is the slope and b is the y intercept
y=3x+b
we need to find b
Because the line passes through the point (4,3), we can use it to find b
substitute x as 4 and y as 3
3=3(4)+b
multiply
3=12+b
-9=b
substitute into the equation
<u>y=3x-9</u>
Hope this helps!
Answer:
g(- 1) = 4
Step-by-step explanation:
To evaluate g(- 1) substitute x = - 1 into g(x)
g(- 1) = 
= 
= 
= 4
Pi*r^2
Where r is the radius
-√4 + √(-48) + √121 + √(-108)
= -√(2²) + √(-1 • 3 • 4²) + √(11²) + √(-1 • 2² • 3³)
= -2 + 4√3 i + 11 + 6√3 i
= 9 + 10√3 i
