Question

Please help me with my last question no wrong answers plsss

Answer 1

Answer: (2/5, 9/5)

Step by step explanation:

To find the solutions, we are given the value of y in terms of x: y = 2x + 1. We can plug this into the circle equation to get:

(x - 1)^2 + (2x + 1 - 1)^2 = 1

Now, we can expand and simplify:

x^2 - 2x + 1 + (2x)^2 = 1

x^2 - 2x + 1 + 4x^2 = 1

5x^2 - 2x = 0

Now, we can factor:

x(5x - 2) = 0

And, using the zero product property, we get two equations which we can solve:

x = 0

5x - 2 = 0

5x = 2

x = 2/5

Since x is 0 in the first solution, we use the other solution and plug it into the equation y = 2x + 1 to find y:

y = 2(2/5) + 1

y = 4/5 + 1

y = 9/5

This means the coordinates of the point is (2/5, 9/5)

Answer 2

Answer:

(2/5, 9/5)

Step-by-step explanation:

To find the solutions, we are given the value of y in terms of x: y = 2x + 1. We can plug this into the circle equation to get:

(x - 1)^2 + (2x + 1 - 1)^2 = 1

Now, we can expand and simplify:

x^2 - 2x + 1 + (2x)^2 = 1

x^2 - 2x + 1 + 4x^2 = 1

5x^2 - 2x = 0

Now, we can factor:

x(5x - 2) = 0

And, using the zero product property, we get two equations which we can solve:

x = 0

5x - 2 = 0

5x = 2

x = 2/5

Since x is 0 in the first solution, we use the other solution and plug it into the equation y = 2x + 1 to find y:

y = 2(2/5) + 1

y = 4/5 + 1

y = 9/5

This means the coordinates of the point is (2/5, 9/5)