<span>We want to check how many intersections line A and B have, that is, we want to check how many common solutions do these equations have:
</span>
i) 2x + 2y = 8
ii) x + y = 4
<span>
use equation ii) to write y in terms of x as : y=4-x,
substitute y =4-x in equation i):
</span>2x + 2y = 8
2x + 2(4-x) = 8
<span>2x+8-2x=8
8=8
this is always true, which means the equations have infinitely many common solutions.
Answer: </span><span>There are infinitely many solutions.</span><span>
</span>
Answer:
C. one solution
Step-by-step explanation:
The number of solutions can be found from the number of intersection points.
There are 2 lines, a parabola (curve) and a horizontal line that is parallel to the x axis.
We see that there is 1 point of intersection between the 2 lines, at (2,1)-right 2 and up 1. Therefore, this non linear system has 1 solution.
C. one solution is the correct answer.
Answer :
and 
Step-by-step explanation:
Given : A circle with the same radius as the circle shown but with a center at (-1.1).
To find : Which equation represents a circle ?
Solution :
The equation of a circle with center (h,k) and radius r is given by :
Here, we are given (h,k)=(-1,1)
and radius r=4 units
So, equation of circle will be :
or
Therefore, the required equations of circle are
and
5 1/4 - 3 1/9
5 9/36 - 3 4/36
2 5/36 is final answer
Answer:
Step-by-step explanation:
pretty simple, i am sure you know the answer, as you add all the variables=
=4w
