Which choices are in the solution set of the equation below? Check all that
1 answer:
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Answer:
Part a) The expression is
Part b) -51 feet
Step-by-step explanation:
<u><em>The complete question is</em></u>
A whale descends 382.5 feet in 45 seconds.
The whale's elevation changes at a constant rate.
Part a) Write an expression that can be used to find the average elevation change of the whale during its descent in feet per second
Part b) What is the elevation change of the whale after 6 seconds?
Part a)
we know that
Find out the unit rate
To find out the unit rate divide the total elevation by the total time
Remember that
The sea level represent the level zero
If a whale descends, then the elevation is negative (below the sea level)
so
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
Let
x ----> the time in seconds
y ----> the elevation in feet
In this problem we have a proportional relationship, because the line passes through the origin (For x=0, y=0)
so
The value of the constant of proportionality k is equal to the unit rate or slope of the linear equation
substitute
Part b) For x=6 sec
substitute in the linear equation
Answer:
B
Step-by-step explanation:
A rectangular door for a shed has a width of 42 in and a diagonal support of 94 in. The triangle formed by the rectangle's width (first leg), rectangle's length (second leg) and rectangle's diagonal (hypotenuse) is right triangle. By the Pythagorean theorem,
Thus,