Answer:
a = 66⁰
b = 33⁰
Step-by-step explanation:
Given;
∠ABC = 114⁰
To calculate a⁰;
a + 114 = 180⁰ (opposite angles of a quadrilateral are supplementary)
a = 180 - 114
a = 66⁰
To calculate b⁰;
Line AB = Line BC, thus, ∠BAC = ∠BCA
∠BAC = b, then ∠BCA = b
b + b + 114 = 180 (sum of angles in a triangle)
2b = 180 - 114
2b = 66
b = 66/2
b = 33⁰
The factor of f(x) is (x-(4-13i))
If a polynomial function f(x) has roots 4 – 13i and 5
One of the complex roots is 4-13i
If we have one complex root then there should be one more complex root.
<h3>What is the complex root?</h3>
complex roots come in pairs like (a+ib) and (a-ib)
so another complex root for 4-13i is 4+13i
If 'a' is a root then the factor is (x-a)
4+13i is a root
So the factor is (x-(4-13i))
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Try this solution:
1. according to the condition

2. for more details see the attached graph.
Answer: [0;+oo)
Answer:
1. Attached
2. 25 mph
Step-by-step explanation:
1. Tim travels first 15 minutes
hour at average speed of 40 mph and passed

2. Time stops for 25 minutes (distance traveled = 0 miles).
3. He then completes the journey at an average speed of 45 mph. The total journey time is 1 hour, then he was travelling at 45 mph for

and covered

The distance-time graph for his journey is attached.
Find the average speed for the whole journey:
