wastewater is filling barrels at the rate of 11 quarts per hour .the recycling facility picks up 120 full barrels on each trip ,
2 answers:
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Answer:
Step-by-step explanation:
We will first need to determine the slope of the line shown.
We know that it passes through the two points (-2, -2) and (1, 4).
Thus, we can use the slope formula to find the slope between the two points:
Let (-2, -2) be (x₁, y₁) and let (1, 4) be (x₂, y₂). Substitute:
Hence, the slope of the original line was 2.
Since we want the new line to be parallel, the slope of the new line must also be 2.
We know that the slope is 2 and it passes through the point (2, 7).
So, we can use the point-slope form:
We will substitute 2 for m. We will also let (2, 7) be (x₁, y₁). Substitute:
Solve for y. Distribute the right:
Add 7 to both sides. Hence, our equation is:
Given the function:
f(x) = x³ + 3x² - 4x + 5
The graph of the function is (taken f:
According to the graph above, the maximum and minimum are 18.13 and 3.87, respectively
Answer:
The distance from point A to the top of the building is 5 feet
The Height of the Skyscraper is 5 feet
Step-by-step explanation:
Given
Let Top point of building be point C
Also Let Base of the building be point B
Distance from point A to base B of the building AB= 5 feet
∴ It makes a Right angle triangle
Also ∠ACB = 45°
Also tan 45° = 1
Now tan ∠ACB =
∴ AB= BC =5 feet
The Height of the Skyscraper is 5 feet
Now Triangle ABC is right angle triangle with right angled at B
So by Pythagoras theorem
AC=
The distance from point A to the top of the building is 5 feet