When you want to find the slope of the perpendicular line, all you have to do is flip the known slope upside down and make it negative. You know that

slope is 3 and you know

is perpendicular. So, just flip 3 upside down into

and then make it negative,
-<span>

. If you look at the coordinate grid, you can see that

crosses the y-axis at 4. When you put those into slope-intercept form you get
= -</span>
x + 4.
Answer:
Step-by-step explanation:
f(x) = -1/3x + 1:
It would be half of the coefficient of x squared added to both sides:
So half of 8 ( the coefficient of 8x) is 4;
The number 4 squared is 16, so you would add that to both sides.
You do this so that you can easily factor the left side: x^2 + 8x + 16 = 4 + 16
(x + 4)(x+4) = 20
We know that
[volume of a sphere]=(4/3)*pi*r³
r=12 in
[volume of a sphere]=(4/3)*3.14*12³-----> 7234.56 in³------> 7235 in³
the answer is the option
<span>D) 7,235 in</span>³
Answer:
3:00
Step-by-step explanation:
If the minute hand is pointing straight up, it means that the time is at an exact hour (ex. 1:00, 2:00, not 1:30, etc.).
If the angle between the hour and the minute hand is 90 degrees, then we know that the time is either 3:00 or 9:00.
However, because the time must be between 1:00 and 5:30, it must be 3:00.
I hope this helps!