Answer:
Option A.
Step-by-step explanation:
The given system of equations is
If a graph represents a system of equations which has two equation, then the intersection point of two curves is the solution of that system of equations.
It is given that, the graph of both lines intersect at (2, 3) on a coordinate plane.
Therefore, the solution of given system of equation is (2,3).
Hence, the correct option is A.
Answer:
The answer is 10x - 10y - 9
Step-by-step explanation:
14 - 3 - 20 = -9
2y - 12y = -10y
7x + 3x = 10x
14 + 2y - 3 + 7x - 12y + 3x - 20 = 10x - 10y - 9
Answer:
-14 - 11i
Step-by-step explanation:
You may be learning about the imaginary number, i. Even though i is actually the squareroot of -1, when you are doing algebra with it, it acts just like a variable does. The special thing to remember about i is that i^2 is -1. But we don't even need that right now for this problem.
(-14 + 3i) - (14i)
= -14 + 3i - 14i
Combine the i's
= -14 - 11i
That's it. The -14 is the a, and the -11 is the b in a+bi.
If necessary to fill in a computer answer that is already formatted with a plus, like:
_ + _i
then use -14 for a and -11 for b.
To solve this problem you must apply the proccedure shown below:
1. You must multiply the coordinates of
by the scale factor given in the problem above. Therefore, you have that the coordinates of
are:

2. The midpoint of
has the folllowing coordinates:

3. The center of dilation is a fixed point, with coordinates
. Therefore, the distance from the center of dilation to the midpoint of
is:

The answer is the option C: 