Hello there!
The standard form of the equation of a circle with center (h, k) and radius r is:
(x - h)² + (y - k)² = r²
So we have h = 4 and k = 3 and r = √5
So we just need to add these numbers to where they belong.
(x - 4)² + (y - 3)² = (√5)²
(x - 4)² + (y - 3)² = 5
Let me know if you have questions about the answer. As always, it is my pleasure to help students like you!
2.75 as a fraction is 25/100 then you divided which you get 11/4 which is 2 3/4 so 2 3/5 is more hope that helped
Answer:
we cant see the data
Step-by-step explanation:
Answer:
(- 1, 4 ) and (2, 7 )
Step-by-step explanation:
Given the 2 equations
y = x² + 3 → (1)
y = x + 5 → (2)
Substitute y = x² + 3 into (2)
x² + 3 = x + 5 ← subtract x + 5 from both sides
x² - x - 2 = 0 ← in standard form
(x - 2)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x + 1 = 0 ⇒ x = - 1
Substitute these values into (2) for corresponding values of y
x = 2 : y = 2 + 5 = 7 ⇒ (2, 7 )
x = - 1 : y = - 1 + 5 = 4 ⇒ (- 1, 4 )
