Answer:
3.5 in
Step-by-step explanation:
Circumference = 2π(radius)
7π = 2π (radius)
7π/2π = radius
Pi in numerator and denominator cancel each other.
7/2 = radius
3.2 in = radius
Step-by-step explanation:
Given
g(x) = - 2x² + 3x
g(3) = - 2 * 3² + 3 *3
= -2 * 9 + 9
= -18 + 9
= -9
Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0)
You need to find "m" and "b".
If you look at the graph, when x = 0, y is 1, so the y-intercept is 1.
y = mx + 1
To find "m", you can use the slope formula and find two points on the graph and plug it in, or you can use this:

Rise is the number of units you go up(+) or down(-)
Run is the number of units you go to the right.
If you look at the graph, from each point you go up 1 unit, and to the right 1 unit. So your slope is
or 1
y = 1x + 1
y = x + 1
8/12 is equal to 2/3 because 2 x 4 and 3 x 4 equals 8/12
Answer:
We are observing the galactic center as it was 27,000 years ago
Step-by-step explanation:
The Galactic Center, or Galactic Centre, is the rotational center of the Milky Way. It is 8,122 ± 31 parsecs (26,490 ± 100 ly) away from Earth in the direction of the constellations Sagittarius, Ophiuchus, and Scorpius where the Milky Way appears brightest. It coincides with the compact radio source Sagittarius A*