we have the factors 2 x 2 x 3 x 5 x 7 = 420. It can also be written in exponential form as 22 x 31 x 51 x 71.
Step-by-step explanation:
Answer:
The equation for the following graph:

Step-by-step explanation:
- You first need to find the slope by using the <u>slope formula</u>:

(where
is the first point and
is the second point)
-Use the given points
and
from the graph for the formula:

Then, you solve:


After you have found the slope, use the slope
and the first point
for the <u>point-slope formula:</u>

<u>(</u>where
is the slope and
is the first point)

Then, you solve:




So, the equation for the following graph is
.
Answer:
x + 7(-5)
Step-by-step explanation:
Not sure if this is right or not...
Answer:
A = 504inch
Step-by-step explanation:
Formula = A = 2(wl + hl + hw)
or A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.
2wl = 6inch × 12inch = 72inch × 2 = 144inch
2lh = 12inch × 10inch = 120inch × 2 = 240inch
2hw = 10inch × 6inch = 60inch × 2 = 120inch
Then add all
144inch + 240inch + 120inch = 504inch
A = 504inch
Solve this as you would an equation that does not involve trig. Don't let the trig scare you. If you had to solve 2x+8=0, the first thing you would do is factor out the common 2. In our equation, we have a common cos theta. I'm going to use beta as my angle. When we factor out beta, here's what we have.

. The Zero Product Property tells us that at least one of those factors has to equal zero. So we set them both equal to zero and solve. Let's get the equations first, then we will need our unit circle. First equation set to equal zero is

. On our unit circle, cos is the value inside the parenthesis that is in the x position within our coordinate. Look at all those coordinates as you go around the unit circle once (once around is equivalent to 2pi). You will find that the the cos is 0 at

. The next equation is

. Move the 1 over by subtraction and divide by 2 to get

. Same as before, go around the unit circle one time and look to see where the coordinate in the y place is -1/2. Sin corresponds to the y coordinate. You will find that sin is -1/2 at

. And there you go! Trig is so much fun!!!