What is the slope of the line represented by the equation y = = 4x+12 2 N/P
1 answer:
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Answer:
The slope of the line must be 3
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
step 1
we know that
The volume of a rectangular prism is equal to
----> equation A
where
B is the area of the base of the prism
h is the height of the rectangular prism
step 2
The volume of a square pyramid is equal to
-----> equation B
where
B is the area of the square base of pyramid
h is the height of the pyramid
step 3
substitute equation A in equation B
Find the relationship between the volume of a rectangular prism and the volume of a square pyramid
therefore
The slope of the line must be 3
let's check it
To solve for the slope of the line, you must choose two coordinates first and use the formula
Choosing the points (2,6) and (3,9)
substitute
----> is correct
Answer:
Step-by-step explanation:
We are given the position function and need to find the value of t when h<17.
Create an inequality that represents this situation:
The "less than" sign makes this very specifically a conjunction problem as opposed to a disjunction. That's important to the solution. But we'll get there.
The simplest way to solve this is to subtract 81 from both sides:
then divide both sides by -16:
Notice now that the sign is facing the other way since we had to divide by a negative number. Now it's a disjunction. The solution set to this inequality is that t>2 or t<-2. First and foremost, time will never be negative, so we can disregard the -2. Even if that was t<2, the more time that goes by, the greater the time interval is, not the lesser. It's the "<" that doesn't make sense, not only the -2. The solution to this inequality is
t > 2 sec. That means that after 2 seconds, the height of the ball is less than 17 feet.