Answer:
is the mid-point of given line segment.
Step-by-step explanation:
We have been given the coordinates of End points
To find the midpoint of the segment we will use mid point formula which is:
We have given 
Substituting the values in the formula we get:
After simplification we get:
Money left = money saved - cost of utilities.
Money left = 500 - 319.45
Money left = 180.55
Answer:
4x+3y-10=0
Step-by-step explanation:
first find the gradient of the line that is perpendicular to the line of interest.
y2-y1/x2-x1
3--3/6--6
=3+3/6+6
=9/12
3/4
The gradient of the line of interest is the negative reciprocal of 3/4. Therefore m is -4/3
next, substitute information into
y-y1=m(x-x1)
y-2=-4/3 (x-1)
multiply both sides of equation by 3
3y-6=-4 (x-1)
expand brackets
3y-6=-4x+4
rearrange in general form
4x+3y-10=0
We must graph y=x^3-9x^2+11x+21. Please, see the attached file.
Then we see were the graph cuts the x-axis, and these values of x are the real solutions of the given equation:
The real solutions of the given equation are:x = -1, 3, and 7
A. 125 is the answer to your question
