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
"The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly one location."
Polynomial functions are equations such as quadratic and cubic equations that take only the non-negative integer power of a variable or a positive integer exponent. For example, 2x + 5 is a polynomial with an exponent equal to 1.
A polynomial function is an expression that is a combination of variables of different degrees, non-zero coefficients, positive exponents (of variables), and constants. For example, f (b) = 4b2 – 6 is a polynomial of'b'and has a degree of 2.
Learn more about polynomial function here:brainly.com/question/2833285
#SPJ4
Five more than the quotient of a number and three
Answer:
C
Step-by-step explanation:
Area of a circle = pi × r²
Area = 3.14 × 16²
803.84 cm²
To graph a linear equation:
1. Find the x-intercept
The x-intercedpt is the point when the line cross the x-axis (when y=0)
First point (-1 ,0)
2. Find the y-intercept
The y-intercept is the point when the line cross the y-axis (when x=0)
Second point (0 , -3)
3. Put in the plane the x and y-intercepts and draw a line that pass through these points:
Besides the x- and y-intercepts you can identify point (-2,3)