Option A: 3 is the right answer
Step-by-step explanation:
Given
In an ordered pair, the x-coordinate is the input to the function and y-coordinate is the output of the function on specified input.
In the given ordered pair,
x-coordinate is -2 so we will put it into the function to get the y-coordinate
So,
3 will complete the ordered pair of the point on the graph
Hence,
Option A: 3 is the right answer
Keywords: functions, variables
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Answer:
Slope Formula: 
Step-by-step explanation:
It is wise to remember this formula. It is one of the most important formulas in Algebra and is fundamental in higher level math courses.
We use this formula to determine the slope, or the average rate of change between 2 points.
The number of feet in the length of the handrail is 17.3 ft.
The easiest way to see this is to imagine that we can "unfold" the spiral to create a rectangle
The bottom side of the rectangle is just the arc length of a circle with a radius of 3 ft turned through 270°= (3/4) of a whole revolution
(3/4) (2pi) (3) = (9/2)pi ft = 4.5 pi ft
The side of the rectangle will be the rise of the staircase = 10ft
And the diagonal of the rectangle will be the length of the handrail
We can use the Pythagorean Theorem to solve this
Handrail length = √ [ (4.5 pi)^2 + 10^2 ] ≈ 17.3 ft
Pythagorean theorem is the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.
Learn more about the Pythagorean theorem here: brainly.com/question/343682
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Answer:
40
Step-by-step explanation:
The first step is to calculate the base area of the prism
= 15×30
= 450
The volume is then calculated as follows
= 450×h
= 450h
The capacity is 18 liters
= 18×1000
= 18,000
Therefore the height of the rectangular prism can be calculated as follows
450h= 18,000
h= 18,000/450
= 40
Hence the height is 40 cm
If an angle is 90 degrees its right, if it's more that 90 degrees its obtuse, if it's less it acute
