Find the points where the line y = x - 1 intersects the circle x2 + y2 = 13
2 answers:
Answer:
(-2,-3) and (3,2)
Step-by-step explanation:
sub in x-1 into y
x^2 + (x-1)^2 = 13
x^2 + (x-1)(x-1)=13
x^2 + x^2 -2x +1 = 13
2x^2 -2x-12=0
solve for x by factoring (quadratic formula, product sum etc..)
x= -2 and 3
plug in those values into y=x-1 and solve for y
Answer:

Step-by-step explanation:
1. Solve the equations for x


2. Calculate the corresponding values of y
Insert the values into equation (1)
(a) x = 3
y = 3 - 1 = 2
One point of intersection is (3, 2).
(b) x = -2
y = -2 - 1 = -3
The second point of intersection is (-2, -3).

The diagram shows the intersection of the two graphs.
You might be interested in
Answer:
<em>24</em>
Step-by-step explanation:
1 hour and 36 minutes = 60 minutes + 36 minutes = 96 minutes
6/24 = x/96
24x = 6 * 96
24x = 6 * 4 * 24
x = 24
Answer:
C and D
Step-by-step explanation:
the answers are C and D.
Here here here here here here here
The answer is 2 and would you like an explanation