Answer: See Below
<u>Step-by-step explanation:</u>
NOTES
45°- 45° - 90° sides are a - a - a√2
30° - 60° - 90° sides are b - b√3 - 2b
Solve for "a" <em>or "b"</em> and then plug that value in to find the missing side lengths.
c) 30° - 60° - 90°
30° : b = x → 5√3 = x
60° : b√3 = 15 → b = 5√3
90° : 2b = y → 10√3 = y
d) 30° - 60° - 90°
30° : b = x → 12 = x
60° : b√3 = y → 12√3 = y
90° : 2b = 24 → b = 12
e) 45° - 45° - 90°
45° : a = 5√2
45° : a = x → 5√2 = x
90° : a√2 = y → 10 = y
f) 30° - 60° - 90°
30° : b = y → 5 = y
60° : b√3 = 5√3 → b = 5
90° : 2b = x → 10 = x
g) 30° - 60° - 90°
30° : b = x → 3√3 = x
60° : b√3 = 9 → b = 3√3
90° : 2b = y → 6√3 = y
h) 45° - 45° - 90°
45° : a = 3
45° : a = (1/2)y → 3 = (1/2)y → 6 = y
90° : a√2 = x → 3√2 = x
Given:
Degree of a polynomial is 7.
To find:
The possible combination of root types for a 7th degree polynomial.
Solution:
We know that, by complex conjugate root theorem, is a complex number is a root of a polynomial, then its conjugate is also the root of that polynomial, it means number of complex roots always an even number.
Similarly,
Irrational roots are also occurs in pairs. If is a root of polynomial, then its is also the root of that polynomial, it means number of irrational roots always an even number.
In options A, B and C either complex or irrational roots are odd, which is not true.
Therefore, the correct option is D.
The slope is negative because the first y-value is 3 and then the second y-value is -2 which would make the slope negative.
1 quart is equal to 2 pints, so 3/4ths qt is equal to 1.5 pints
Answer:D because you divide it bu a common factor
Step-by-step explanation: