What is the square root of -1
1 answer:
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The total distance is an illustration of a linear function.
<u>(1) Why the relationship is a function</u>
The relationship is a function because all input values of h, have exactly one corresponding output value of d
<u>(2) The function type</u>
The function is a discrete function, because the number of hours is an integer, and it cannot take decimal values (in this case)
<u>(3) The domain for a drive of 8 hours</u>
The domain is the set of time the girls drive.
So, the domain is: [0,8]
<u>(4) The range</u>
The function is given as:
When h = 0,
When h = 8,
So, the range is: [10,450]
<u>(5) The graph</u>
See attachment
<u>(6) The slope</u>
A linear function is represented as:
Where:
m represents the slope.
So, by comparison:
The slope in this case represents the distance travelled per hour
<u>(7) The y-intercept</u>
In (6) above, c represents the y-intercept.
So, by comparison:
The y-intercept in this case represents the initial distance
Read more about linear functions at
Answer:
The correct answer is 61.08 foot.
Step-by-step explanation:
Length of the string of the kite, Mr. Black is flying is 65 foot. Thus the length between the kite and Mr. Black is given by 65 foot.
Angle of elevation is 70°.
We need to calculate the height of the kite above Mr. Black's head. The height is given by finding the sine of the angle of elevation.
Let the height be x foot.
Thus sin 70° =
⇒ x = sin 70° × 65
⇒ x = 61.08
Thus the height of the kite above Mr. Black head is 61.08 foot.