Answer:
ST=10
Step-by-step explanation:
Step-by-step explanation:
To find the y-coordinate points we need to evaluate the function for all the
values in the table. In other words, we need to replace
with each value in our given function and simplify.
- For x = 0





Since
and
, our first point is (0, -1)
- For x = 1





Our second point is (1, -4)
- For x = 2




Our third point is (2, -5)
- For x = 3





Our fourth point is (3, -4)
- For x = 4





Our fifth point is (4, -1)
Now we just need to plot each point in our coordinate plane and join them with the parabola as you can see in the attached picture.
It's a value you should probably memorize:

You can derive it using some trigonometric identities, other known values of cosine, and properties of the cosine function. For example, using the double angle identity for cosine:

If
, then

and you probably know that
, so

When we take the square root, we should take the positive root because
whenever
:

Answer:
Whole Numbers
Step-by-step explanation:
Whole numbers is the only set of numbers in the following choices that don't include negative numbers (only positive integers and zero). Therefore, since -7 is negative, it doesn't belong to whole numbers!
Answer:
w = -1
Step-by-step explanation:
- w-5-4= -8-6w+8w ⇒ simplify
- w - 9 = - 8 + 2w ⇒ add 9 - 2w to both sides
- w - 2w = - 8 + 9 ⇒ simplify
- -w = 1 ⇒ multiply both sides by -1
- w = -1 ⇒ answer