Which expression is equivalent to n5 • k5 • n-5 • k?
2 answers:
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Answer:
D. y²/5² - x²/8² = 1
Step-by-step explanation:
A and B are both incorrectly oriented, and D is the only hyperbola that contains the points (0,5) and (0,-5).
Verification (0,5) and (0,-5) are in the hyperbola:
First replace x and y with corresponding x and y values (We will start with x=0 and y=5)
Then simplify.
If the result is an equation (where both sides are equal to each other) then the original x and y values inputted are valid. The same is true with x and y inputs x=0 and y=-5, or any other point along the hyperbola.
Hello!
The figure is made up of a cylinder and a hemisphere. To the nearest whole number, what is the approximate volume of this figure?
Use 3.14 to approximate π .
Enter your answer in the box. in.³
Data: (Cylinder)
h (height) = 7 in
r (radius) = 2.5 in (The diameter is 5 being twice the radius)
Adopting:
V (volume) = ?
Solving: (Cylinder volume)
Note: Now, let's find the volume of a hemisphere.
Data: (hemisphere volume)
V (volume) = ?
r (radius) = 2.5 in (The diameter is 5 being twice the radius)
Adopting:
If: We know that the volume of a sphere is , but we have a hemisphere, so the formula will be half the volume of the hemisphere
Formula: (Volume of the hemisphere)
Solving:
Now, to find the total volume of the figure, add the values: (cylinder volume + hemisphere volume)
Volume of the figure = cylinder volume + hemisphere volume
Volume of the figure = 137.38 in³ + 32.70 in³
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I Hope this helps, greetings ... Dexteright02! =)