Answer:
a) OA = 1 unit
b) BC = 3 units
c) OD = 2 units
d) AC = 3√2 units
Step-by-step explanation:
Given function:
<h3><u>Part (a)</u></h3>
Point A is the x-intercept of the curve.
To find the <u>x-intercept</u> of the curve (when y = 0), set the function to zero and solve for x:
Therefore, A (1, 0) and so OA = 1 unit.
<h3><u>Part (b)</u></h3>
If OB = 2 units then B (-2, 0). Therefore, the x-value of Point C is x = -2.
To find the y-value of Point C, substitute x = -2 into the function:
Therefore, C (-2, -3) and so BC = 3 units.
<h3><u>Part (c)</u></h3>
<u>Asymptote</u>: a line that the curve gets infinitely close to, but never touches.
The y-value of Point D is the horizontal asymptote of the function.
The function is undefined when x = 0 and therefore when y = -2.
Therefore, D (0, -2) and so OD = 2 units.
<h3><u>Part (d)</u></h3>
From parts (a) and (c):
To find the length of AC, use the distance between two points formula:
Therefore:
Answer:
Counterclockwise
Step-by-step explanation:
The cartesian plane is divided into four quadrants. These are numbered from I through IV, starting with the upper right and going around counterclockwise. Hope this helps!
Answer:
150.72 mm^3
Step-by-step explanation:
volume = (pi)(r^2)h
volume = 3.14 * (4 mm)^2 * 3 mm
volume = 3.14 * 16 mm^2 * 3 mm
volume = 150.72 mm^3
You have not provided a diagram, therefore, I cannot provide you with the exact solution.
However, I will try to help you with the procedures on how to get the area of trapezoid and you can apply on the diagram you have.
Now, area of trapezoid can be calculated using the following rule:
area of trapezoid =
where:
b1 is the length of the first base
b2 is the length of the second base
h is the height of the trapezoid
The bases are the two parallel sides in the trapezoid
To better illustrate this, consider the attached diagram.
We have:
b1 = 5 m
b2 = 8 m
h is the perpendicular height = 4 m
Area =
= 26 m²
Hope this helps :)
Answer:
Positive
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