A complex point of the form a 3i has a distance of 29 units from –9 24i. what is the value of a? –1 5 11 19.8
1 answer:
<u>The value of</u><u> a = 11</u>
What is complex numbers ?
- Complex numbers are the numbers that are expressed in the form of a+ib where, a,b are real numbers and 'i' is an imaginary number called “iota”.
- The value of i = (√-1). For example, 2+3i is a complex number, where 2 is a real number (Re) and 3i is an imaginary number (Im).
Let a + i b = (a,b)
c + i d = (c , d)
the distance between two points =
put values in the formula -
= 29
square both sides
(a + 9)² = 841 - 441 ⇒ 400
(a + 9) = √400 = <u>+ </u>20
a = <u>+</u>20 -9
So, a = -29 or 11
Therefore, the value of a = 11
Learn more about complex number
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The triangle pay $32 more for that day than it paid per day during the first period of time.
Step-by-step explanation:
The given is,
Triangle Construction pays Square Insurance $5,980
To insure a construction site for 92 days
To extend the insurance beyond the 92 days costs $97 per day
Triangle extends the insurance by 1 day
Step:1
Insurance per day from the 92 days period,
Where, Total insurance for 92 days = $ 5,980
Period = 92 days
From the values, equation becomes,
= $ 65 per day
Step:2
Insurance per day after the 92 days,
= $ 97
Amount Pay for that day than it paid per day during the first period of time,
= $32
Result:
The triangle pay $32 more for that day than it paid per day during the first period of time, if the Triangle Construction pays Square Insurance $5,980 to insure a construction site for 92 days and to extend the insurance beyond the 92 days costs $97 per day.