a. The center of the circle will be the coordinate point of the marked point inside the circle.
center: (3,-5)
The radius is the distance between the center and any point on the circle.
radius: 4 units
b. standard form for circles: (x-h)²+(y-k)²=r² where (h,k) is the center
standard form: (x-3)²+(y+5)²=16
c. Simplify equation in standard form to get general form.
(x-3)²+(y+5)²=16
x²-6x+9+y²+10y+25=16
general form: x²+y²-6x+10y+18=0
Hope u find this useful!
Answer:
$ 77.88
Step-by-step explanation:
1 Gallon = 4 Quarts
3 Gallons = 3*4=12 Quarts
thus (19.47/3)*12 =$ 77.88 (we know 3 quarts cost $19.47, so divide by 3 and multiply by 12 gives the result.
2x^3-2x^2+3x^2-3x-6x+6
2x^3+x^2-9x+6
Answer:
D. About 800 years
Step-by-step explanation:
Use the half-life equation:
A = A₀ (½)ⁿ
where A is the final amount,
A₀ is the initial amount,
and n is the number of half-lives.
0.90A₀ = A₀ (½)ⁿ
0.90 = (½)ⁿ
To solve for n, take log of both sides:
log 0.9 = n log 0.5
n = (log 0.9) / (log 0.5)
n = 0.152
It takes 0.152 half-lives. The half-life of carbon-14 is 5730 years.
0.152 × 5730 years = 871 years
The closest answer is D.
![54x = 54](https://tex.z-dn.net/?f=54x%20%3D%2054)
![x = \frac{54}{54}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B54%7D%7B54%7D%20)
![x = 1](https://tex.z-dn.net/?f=x%20%3D%201)
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