The equation of a circle exists:
, where (h, k) be the center.
The center of the circle exists at (16, 30).
<h3>What is the equation of a circle?</h3>
Let, the equation of a circle exists:
, where (h, k) be the center.
We rewrite the equation and set them equal :


We solve for each coefficient meaning if the term on the LHS contains an x then its coefficient exists exactly as the one on the RHS containing the x or y.
-2hx = -32x
h = -32/-2
⇒ h = 16.
-2ky = -60y
k = -60/-2
⇒ k = 30.
The center of the circle exists at (16, 30).
To learn more about center of the circle refer to:
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Answer:
5 carnations in each arrangement
Total of 60 carnations used
Step-by-step explanation:
First calculate how many flowers are in each arrangement by dividing the total number of flowers by the number of arrangements:
96 ÷ 12 = 8
Given each arrangement has 3 roses, subtract 3 from 8 to find the number of carnations in each arrangement:
8 - 3 = 5
Therefore, there are 5 carnations in each arrangement
Total number of carnations used = 5 x 12 = 60
K=14 i think thats right im not sure
-18f - 34 - 14f = 11
-32f - 34 = 11
-32f = 45
f = -32/45
Simplify the fraction if needed!
Hope this helps, and please mark brainliest!