Answer:
1) 
2) 





Step-by-step explanation:
The Pythagorean Theorem is:

Where a is the hypotenuse and b and c are the legs.
The missing side lenght is one of the legs, then you must solve for one of them. Therefore, this is:

MEASURE OF ANGLE:
Keep the identities on mind:



Susbstitute values, then:






Answer:
A
Step-by-step explanation:
Got it right on the quiz.
Answer:
x = -3 and x = -3/2
Step-by-step explanation:
After writing down the polynomial, split it; put a line between 3x^2 and -18x. Look and 2x^3 + 3x^2 and -18x - 27 separately and factor them both:
p(x) = 2x^3 + 3x^2 <u>- 18x -27</u>
p(x) = x^2(2x+3) <u>-9(2x+3)</u>
Now notice how x^2 and -9 have the same factor (2x+3). That means x^2 and -9 can go together:
p(x) = (x^2 - 9)(2x+3)
Factor it once more because there's a difference of squares:
p(x) = (x+3)(x-3)(2x+3)
Now just plug in whatever makes the each bracket equal 0:
x = -3, x = 3, and x = -3/2
Those are your zeros.
Answer:
Step-by-step explanation:
<u>To find it we will divide:</u>
- 4 x 10^16 / 4 x 10^6 =
- 4/4 x 10^(16 - 6) =
- 1*10^10=
- 10^10 times
The first number is 10^10 times larger
Answer:
Yes
Step-by-step explanation: