Answer: The radius of this circle is 0.5
Step-by-step explanation:
We have a circle that passes through the point (0, 0.5)
We do not know the center of the circle, so we have infinite possible radius to answer this, but let's suppose that the center of the circle is in the point (0, 0)
For a circle centered in the origin, we have the equation:
x^2 + y^2 = r^2
Where r is the radius.
Here we have that x = 0 and y = 0.5
then:
0^2 + (0.5)^2 = r^2
0.5^2 = r^2
r = 0.5
The radius of this circle is 0.5
Step-by-step explanation:
When x=-3, then
- (-3)²-5×(-3)-8
- 9+15-8
- 24-8
- 16
X = amount of 50% solution
y = total amount after mixing
Note that the amount of alcohol in the 20% solution is 80 (0.2) = 16 oz.
We have 2 unknowns, so we need 2 equations:
first, we can write the equation for the total volume:
y = x + 80
next, apply the percentages to get an equation for the amount of alcohol:
0.4 y = 0.5 x + 16
Finally, solve the pair of equations (in this case, by substitution of the 1st into the second:
0.4 (x + 80) = 0.5x + 16
0.4 x + 32 = 0.5X + 16
rearrange and combine like terms:
0.1x = 16
x = 160
from the 1st equation:
y = 160 + 80 = 240
Answer:
it would be D
Step-by-step explanation:
all other choices have a repeating x value.
