Answer:
(a) There are two complex roots
Step-by-step explanation:
The discriminant of a quadratic function describes the nature of its roots:
- <u>negative</u>: two complex roots
- <u>zero</u>: one real root (multiplicity 2)
- <u>positive</u>: two distinct real roots.
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Your discriminant of -8 is <em>negative</em>, so it indicates ...
There are two complex roots
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<em>Additional comment</em>
We generally study polynomials with <em>real coefficients</em>. These will never have an odd number of complex roots. Their complex roots always come in conjugate pairs.
The answer is 7.
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Answer:
B. 8 times the difference of a number <em>z</em> and 6
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Translate (z - 6)
<em>z </em>= a number <em>z</em>
- = difference
6 = six
(z - 6) = The difference between a number <em>z</em> and 6
Step 2: Translate 8(z - 6)
(z - 6) = The difference between a number <em>z</em> and 6
Since we are distributing the 8, we are multiplying.
8 times the difference of a number <em>z</em> and 6
Answer:
A. a = 10
B. m<FNT = 120°
C. m<KTU = 60°
Step-by-step explanation:
A. (7a + 50)° and (14a - 20)° are corresponding angles. Therefore:
(7a + 50)° = (14a - 20)°
Use this equation to find the value of a
7a + 50 = 14a - 20
Combine like terms
7a - 14a = - 50 - 20
-7a = -70
Divide both sides by -7
-7a/-7 = -70/-7
a = 10
B. m<FNT = (14a - 20)° (alternate interior angles are congruent)
Plug in the value of a
m<FNT = 14(10) - 20
m<FNT = 140 - 20
m<FNT = 120°
C. m<KTU + (14a - 20)° = 180° (linear pair)
Plug in the value of a
m<KTU + 14(10) - 20 = 180
m<KTU + 120 = 180
m<KTU + 120 - 120 = 180 - 120
m<KTU = 60°
