9514 1404 393
Answer:
Rotation 90° CCW
Step-by-step explanation:
Note that Figure 1 has a small appendage off the larger rectangle. That appendage is pointing East (to the right).
In Figure 2, that same appendage is pointing North (up).
If you are facing East and you want to face North, you will find that you need to turn 90° in the counterclockwise direction. That is the transformation that was done here:
rotation 90° CCW about the origin
So for the first one... Let's just use x for months and m for minutes.
(20m)+(.15m)
20 times the number of months plus .15 times the number of minutes
Same for the next one
(35x)+ (.10m)
35 times the number of months +.10 times the minutes.
volume of the ball = 4/3 * PI *r^3 =
4/3 * 3.14 * 2.86^3 = 97.99 cubic inches
this is less than the volume of the box, so yes it will fit
Answer:
4x + 1
Step-by-step explanation:
note that (f + g)(x) = f(x) + g(x) , thus
f(x) + g(x)
= x + 3x + 1 ← collect like terms
= 4x + 1
Y=mx+b is the equation we must fill out, with x and y being their respective coordinates, m being the slope, and b being the y-intercept. The y intercept will be at (0, y), and the beginning of this problem already gives us the y-intercept: -4.
We now know y=mx-4. To find the slope, m, we’ll plug in one of the coordinates: (5, 1). The new equation is 1=m(5)-4. Solve this to get 5=m(5), and then m=1.
Now that we know the slope and y-intercept, we can conclude that the equation is y=x-4.
