Answer:
12a + 6
Step-by-step explanation:
given 3(4a + 2)
multiply each term in the parenthesis by the 3 outside ( distributive law )
= (3 × 4a ) + (3 × 2 ) = 12a + 6
Answer:
9 hours
Step-by-step explanation:
This solution to this problem is predicated on the fact that the circumference is just: 
. A straight line going through the center of the garden would actually be the diameter, which is well known to be two times the radius of the circle, so we can say that the circumference is just:
So, solving for both the radius and the diameter gives us:
So, the length of thes traight path that goes through the center of the guardain is just 
, and we can use the radius for the next part of the problem.
The area of a circle is 
, which means we can just plug in the radius and find our area:
So, we have found our area(
) and the problem is done.
Answer:
d.
Step-by-step explanation:
Left line is defined when x < 1 (x is less than 1). The point is not full and that means that x = 1 is not included.
Right line is defined when x is greater or equal to one x ≥ 1.
Options that have x < 1 and x ≥ 1 are b and d, so the answer is one of those.
Equations of the lines are in slope-intercept form y = mx + b, where m is slope and b is y-intercept.
Right line has steeper slope than left line, so the slope of right line will have bigger absolute value. That is the case with option d. (Left line has slope -1 and right one has slope -2, absolute value of right slope is bigger.)
You could also check with y-intercepts. Left line has y-intercept at y = 2 and left line is defined when x < 1. Only option d meets these conditions.
