Answer:
<h2>Center: (3, 0)</h2><h2>Radius: 2√2</h2>
Step-by-step explanation:
The equation of a circle in standard form:
(h, k) - center
r - radius
We have the equation:
Therefore
the center: 
the radius: 
Answer:
The point (56, 1.75) is on the line.
Step-by-step explanation:
Given two points, we can get the slope (m) as follows:
m = (y2 - y1)/(x2 - x1)
where (x1, y1) and (x2, y2) are the points. Replacing with (8, 0.25) and (16, 0.5):
m = (0.5 - 0.25)/(16 - 8) = 0.03125
The point-slope form of a line is:
y - y1 = m(x - x1)
Replacing with data:
y - 0.25 = 0.03125(x - 8)
To know if point (56, 1.75) is on the line, we have to replace x = 56 in the obtained equation and check y-value, as follows:
y - 0.25 = 0.03125(56 - 8)
y - 0.25 = 1.5
y = 1.5 + 0.25 = 1.75
Then, the point is on the line. This means that there are 56 ounces in 1.75 quarts.
Consecutive even integers..x, x + 2, x + 4
x + (x + 2) + (x + 4) = 6216
3x + 6 = 6216
3x = 6216 - 6
3x = 6210
x = 6210/3
x = 2070
x + 2 = 2070 + 2 = 2072
x + 4 = 2070 + 4 = 2074 <===house 3
Answer:
904.75
Step-by-step explanation:
The area of a semicircle: r^2
/2
