The shadow cast by a lampshade has a boundary in the shape of a hyperbola defined by the equation StartFraction (y minus 3) squared Over 2 EndFraction minus StartFraction x squared Over 1 EndFraction = 1. What could the center of the hyperbola represent?
the location of the light bulb
the bottom of the lampshade
the top of the lampshade
a vertex of the shadow
Answers
Answer:
A THE LOCATION OF THE LIGHT BULB
I got this right on the assignment
Step-by-step explanation:
The centre of the hyperbola represent will represent the location of the light bulb.
What is the centre of a hyperbola?The centre of a hyperbola is the midpoint of the line segment joining its foci. The transverse axis is the line segment that contains the centre of the hyperbola and whose endpoints are the two vertices of the hyperbola.
As we know that the centre of a hyperbola is the midpoint of the line segment joining its foci. Now, if we plot the hyperbola with equation
[tex]\dfrac{(y-3)^2}{2}-\dfrac{x^2}{1}=1[/tex]
The hyperbola will look like the one given in the below image, further if draw two lines to know the centre of the hyperbola, we will find that the centre of the hyperbola will lie at coordinate (0,3).
Further, the centre of the hyperbola represents the light bulb while the hyperbolas will represent the shadow cast by the lampshade.
Hence, the centre of the hyperbola represent will represent the location of the light bulb.
Learn more about Hyperbola:
https://brainly.com/question/12919612
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9514 1404 393
Answer:
(a) A'(-2, 1), B'(-4, -3), C'(-7, 0)
Step-by-step explanation:
If X is the center of rotation, the coordinates of point P are transformed like this:
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__
Your points are transformed to ...
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Answer:
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Step-by-step explanation:
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Answer:
ITS 1
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45 = 32 • 5
Answer:
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Step-by-step explanation:
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Answers
Answer:
x=8
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Step-by-step explanation:
3x=y
x=y-16
Substitute y for 3x
x=3x-16
Add 16 to each side
x+16=3x
Subtract x
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Divide each side by 2
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Here we have been given with two equations and we have to calculate the values of x and y. So we would be using substitution method for it.
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>> x = y - 16
>> x = 3x - 16
>> x - 3x = -16
>> -2x = -16
>> 2x = 16
>> x = 16 / 2
>> x = 8
★ Finding out value of y:-
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Answers
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
As 6 is 2 less than 8 so height of smallest doll would be 10cm
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
You divide 57.30 by the number of tickets(6).
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Given data
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Answers
Answer: 4/5 (first choice)
=========================================
Work Shown:
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Answers
Answer:
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answers
9514 1404 393
Answer:
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Step by step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Answers
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Step-by-step explanation:
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Answers
Step-by-step explanation:
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Answer:
solution given:
length[l]=xcm(let)
breadth [b]=(x-10)cm
perimeter of rectangle [P]=100cm
we have
P=2[l+b]
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At the football game, 3 hamburgers and 6 soft drinks cost $27, and 3 hamburgers and 3 soft drinks cost $18. Which two equations can be used to determine the price of a hamburger and the price of a soft drink?
Let x represent the cost of a hamburger and y represent the cost of a soft drink.
Answers
Answer:
Let be "x" the cost in dollars of a hamburger and "y" the cost in dollars of a soft drink.
The cost of 4 hamburguers can be represented with this expression:
4x4x
And the cost of 6 soft drinks can be represented with this expression:
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Since the total cost for 4 hamburgers and 6 soft drinks is $34, you can write the following equation:
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The following expression represents the the cost of 3 soft drinks:
3y3y
According to the information given in the exercise, the total cost for 4 hamburgers and 3 soft drinks is $25. Then, the equation that represents this is:
4x+3y=254x+3y=25 [Equation 2]
Therefore, the Equation 1 and the Equation 2 can be used to determine the price of a hamburger and the price of a soft drink
Answer:
3x + 6y = 27
3x + 3y = 18
x = $3, y = $3
Step-by-step explanation:
I will solve by using the elimination method.
3x + 6y = 27
3x + 3y = 18
Subtract top equation by bottom.
3x + 6y = 27
- (3x + 3y = 18)
_____________
0 + 3y = 9
3y = 9
y = 3
Plug y in for three
3x + 6*3 = 27
3x + 18 = 27
3x = 9
x = 3
So, your solution is x = $3, y = $3