Step-by-step explanation:
The figure below shows a portion of the graph of the function , hence the average rate of change (slope of the blue line) between the and is
Answer:
21 cm
Step-by-step explanation:
To find the radius, half the diameter (42cm)
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Answer:
The corresponding element in the range when 5 is an element in the domain is
Step-by-step explanation:
Given that the 5 is an element in the domain of f(x)
The function f is defined by
To find the corresponding element in the range:
That is put x=5 in the given function f(x)
Therfore f(x) becomes
Therefore corresponding element in the range when 5 is an element in the domain is
Converting angle measure of 55.45 to DMS notation we get 55 degrees 27 minutes 0 seconds
Step-by-step explanation:
We need to convert angle measure of 55.45 to DMS notation
DMS notation is Degree Minute and seconds
Solving:
We have 55.45, the value before decimal is considered as degrees and values after decimal can be minutes and seconds.
We can write it as 55 and 0.45
So, we have 55 degrees
To find minutes we will multiply 0.45 by 60
0.45*60 = 27 minutes
Since we have no decimal value in minutes so seconds will be 0
So, DMS will be 55 degrees 27 minutes 0 seconds
Hence converting angle measure of 55.45 to DMS notation we get 55 degrees 27 minutes 0 seconds
(4x + 7)² = 60
(4x + 7)(4x + 7) = 60
(4x² + 28x + 28x + 49) = 60
4x² + 56x + 49 = 60
<u> -49 -49</u>
4x² + 56x = 11
4x² + 56x - 11 = 11 - 11
4x² + 56x - 11 = 0
x = <u>-56 +/- √(56² - 4(4)(-11))</u>
2(4)
x = <u>-56 +/- √(3136 + 88)</u>
8
x = <u>-56 +/- √(3174)</u>
8
x = <u>-56 +/- 56.34</u>
8
x = -7 +/- 7.0425
x = -7 + 7.70425 x = -7 - 7.70425
x = 0.70425 x = -14.70425