Answer:
f(2) = 2
Step-by-step explanation:
Substitute x=2 for x, but there is no x on the right side of the equation.
So since it is a straight line of f(x) =4, for any x, f(x)=2
The first thing to do is find the slope of the given line m = (y2-y1)/(x2-x1). We need to find the slope because it is required to find the slope of the perpendicular line.
m = (-7-5)/(5+11) = -12/16 = -3/4
Now we find the midpoint of the line, this is where the perpendicular bisector be. Using the Midpoint equation
M=((x1+x2)/2,(y1+y2)/2)
M=((-11+5)/2, (5-7)/2)
M=(-6/2, -2/2)
M=(-3,-1)
Now that we have the slope and midpoint we can find the perpendicular bisector. A line is perpendicular to another if, when you multiply their slopes together they equal -1. To do this we simply invert the numerator and denominator of our current slope and flip the sign from negative to positive.
So, -3/4 becomes positive 4/3 for our new line. So for our perpendicular line we now know two things, the slope and a point on it (the bisector point). To find the equation of the line we need to plug the known point and slope into the equation y = mx + b and solve for b.
-1 = 4/3(-3) + b
-1 = -4 + b
b = -1 + 4
b = 3
Now we can build our equation for our perpendicular line
y = 4/3x + 3
Tell us the value of the variable to solve
The graph is attached btw
Answer:
Re(z)=12.1,
Im(z)=14.
Step-by-step explanation:
Re(z) is the real part of the complex number. It always stands without i (imaginary unit), thus,
Re(z)=12.1.
Im(z) is the imaginary part of the complex number. It always stand with imaginary unit i. Hence,
Im(z)=14.
Answer:
The answer is 37 feet.
Step-by-step explanation:
Set up the triangle. (It is a right triangle.)
One angle is 90° and the other is 40°, with one side length of 24ft. You are trying to find the hypotenuse of the triangle. By solving sin(40) = 24/x, you get the answer of 37 feet.
