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
Related Questions
Please show work I will mark brainlist
Answers
Answer:
450 online tickets
200 gate tickets
Step-by-step explanation:
Let x = no. of online tickets
and y = no. of gate tickets
60x = total sales of online tickets
80y = total sales of gate tickets
x + y = 650 and 60x + 80y = 43000
y = 650 - x 60x + 80(650 - x) = 43000
60x + 52000 - 80x = 43000
-20x = -9000
x = 450 online tickets
y = 650 - 450 = 200 gate tickets
volume of the composite
Answers
Step-by-step explanation:
To find the volume of a composite 3D figure, draw any necessary planes to view the figure as basic three dimensional figures, then: add basic figure volumes belonging to the composite shape. subtract basic figure volumes NOT belonging to the composite figure.
Which sentence states the author’s point of view of microloans?
A.They help people, not communities.
B.They can change people’s lives for the better.
C.They need to be changed in order to work correctly.
D.They should be paid back quickly to make a difference
Answers
Answer:
B
Step-by-step explanation:
It is right
PLSS I NEED HELPPP .
Answers
Answer:
yes
Step-by-step explanation:
...........................
which expression is equivalent to (7x^3)^2 (x^8)
Answers
Answer:
49x^14
Step-by-step explanation:
Please hurry it’s timed
Answers
11. The scale on a map is 1: 80000. A town has an area of 37.5cm2 on the
map. What is the actual area of the town in km2? *
2 points
Answers
Explanation:
Scale = Drawing / Actual
Let x km² be the actual area of the town.
1:80000 = 37.5 / x
1 / 80000 = 37.5 / x
1x= 37.5 • 80000
x = 3 000 000
What is the recursive formula for the sequence:
1350,450, 150, 50
Answers
Answer:
It is being multiple by 3
After losing the __________, the Chinese government was forced to make reparation payments to Britain.
A.
Anglo-Chinese War
B.
Chinese Civil War
C.
Revolution of 1911
D.
Sino-Japanese War
Answers
Option A. Anglo-Chinese War.
Answer: a.anglo-chinese war in e2020
Step-by-step explanation:
please help please help
Answers
Answer:
c
Step-by-step explanation:
4000x.5=2000 which is the next table on the chart.
Answer:
Step-by-step explanation:
y=ar^t
f(x)=4000(1/2)^x
PLEASE HELP OR ELSE MOM WILL BE REALLY MAD!!!!! Two trains, one going from Boston to New York and the other going from New York to Boston, started their trips at exactly same time. Speed of the first train was 10 mph less than twice the speed of the second train.How far from Boston station to have the Met in two hours, if the total distance between cities along the railroad is 220 miles?
Answers
Answer:
140 mile
Step-by-step explanation:
[tex]d_{1} +d_{2} =220\\2(2x-10+x)=220\\x=40\\d_{1}=2*(2*40-10)=140mile[/tex]
While x is the speed of the second train.
The speed of the first train is 50 miles per hour while the second train is at 60 miles per hour.
SpeedSpeed is the ratio of total distance to total time taken. It is given by:
Speed = distance / time
Let a represent the speed of the first train. In two hours:
a = d₁/2
d₁ = 2a
a + 10 = d₂/2
d₂ = 2a + 20
d₁ + d₂ = 220
2a + 2a + 20 = 220
4a = 200
a = 50 miles per hour
The speed of the first train is 50 miles per hour while the second train is at 60 miles per hour.
Find out more on Speed at: https://brainly.com/question/4931057
ccccc
ccccc
ccccc
ccccc
ccccc
Answers
Answer:
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
Step-by-step explanation:
1.When two variables are proportional which of the following is constant?
(1) their sum
(3) their product
(2) their ratio
(4) their difference
Answers
Answer:
Their Ratio
Step-by-step explanation:
You switched the numbers 2 and 3 btw
[tex]\boldsymbol{\left ( 2 \right )}[/tex] their ratio
A ratio indicates how many times one number contains another.
Two sequences of numbers, often experimental data, are proportional or directly proportional if their corresponding elements have a constant ratio, which is called the coefficient of proportionality or proportionality constant.
When two variables are proportional, [tex]\boldsymbol{\left ( 2 \right )}[/tex] their ratio is constant.
For more information:
https://brainly.com/question/25343092?referrer=searchResults
Find product of
4xy², 2x² - 3y², x³y³
pls help me will mark u as brainliest
full explanation pls
Answers
Answer:
8x⁶y⁵ - 12x⁴y⁷
Step-by-step explanation:
→ 4xy² × 2x² - 3y² × x³y³
→ 4x⁴y⁵ × 2x² - 3y²
→ 8x⁶y⁵ - 12x⁴y⁷
HOPE THIS HELPS YOU
Follw me = 10 thanks
Mark as brainliest = 10 thanks
1 thanks to me = 2 thanks
30 POINTS!! BRAINLIEST
Answers
Answer:
the first box is 1/3
the second box is 27
Step-by-step explanation:
Answer:
thanks for 15 points
Step-by-step explanation:
y=4x+3
2x-3y=21
SHOW YOUR WORK
Answers
Step-by-step explanation:
y = 4x+3
2x-3y = 21
2x -3(4x+3) = 21
2x -12x -9 = 21
-10x = 21 + 9
-10x = 30
x = -3
Solve 12x + 6 = 102 ?????????????????
Answers
Answer:
12x =102-6
x=96/12
x=8 is the correct answer
Answer:
Answer is x=8.
Step-by-step explanation:
12x+6=102
12x+6-6=102-6
12x=96
12x/12=96/12
x=8
I hope it's helpful!
PLS HURRY TY WILL GIVE BRAINLIEST
Answers
Answer:
i'm pretty sure its c
Step-by-step explanation:
have a great day!!
Answer:
The quadratic equations and their solutions are;
9 ± √33 /4 = 2x² - 9x + 6.
4 ± √6 /2 = 2x² - 8x + 5.
9 ± √89 /4 = 2x² - 9x - 1.
4 ± √22 /2 = 2x² - 8x - 3.
Explanation:
Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.
We have to solve all of the five equations to be able to match the equations with their solutions.
2x² - 8x + 5, here a = 2, b = -8, c = 5. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4. 24 can also be written as 4 × 6 and √4 = 2. So x = 8 ± 2√6 / 2×2= 4±√6/2.
2x² - 10x + 3, here a = 2, b = -10, c = 3. x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.
2x² - 8x - 3, here a = 2, b = -8, c = -3. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4. 88 can also be written as 4 × 22 and √4 = 2. So x = 8 ± 2√22 / 2×2 = 4± √22/2.
2x² - 9x - 1, here a = 2, b = -9, c = -1. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4. x = 9 ± √89 / 4.
2x² - 9x + 6, here a = 2, b = -9, c = 6. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4. x = 9 ± √33 / 4 .
Step-by-step explanation:
PLZ HELP ASAP! A vendor at the Saturday Market makes $9 profit on each necklace she sells and $5 profit on each bracelet. Find a combination of necklaces and bracelets that she could sell and make.
a. exactly $100 profit
b. more than $100 profit
Answers
Answer:B. more than $100 profit
Step-by-step explanation:
When the pattern continues it wont be even
Answer
b
Step-by-step explanation:
Calculate the elapsed time between:
a 9:30 a.m. and 7:30 p.m.
Answers
Draw a triangle ABC with A(6,10), B(7,6), and C(10,7).
Translate it 5 squares left and 6 squares down to get A'B'C'.
Write the coordinates of the image.
Answers
Answer:
A(1,4) B(2,0) C(5,1)
This year, a farmer planted 300 acres of corn. This was 1.5 times as many acres as he planted last year. How many acres did he plant this year?
Answers
Answer:
600 acres
Step-by-step explanation:
brainest vote pleasee
NEED HELP ASAP!!! WILL MARK BRAINLIEST!!!
A sample of 500 g of radioactive lead-210 decays to polonium-210 according to the function A(t) = 500 e ^-0.0325, where t is time in years. Find the amount of radioactive lead remaining after (a) 4 yr, (b) 8 yr, (c) 15 yr. (d) Find the half-life.
Answers
Answer:
t=4
Step-by-step explanation:
5. Alex invests $18,100 at 13.6% compounded quarterly for 10 years. How much it be worth in the end?
Answers
Answer:
It be worth in the end : ($18,100 x 13.6%) x 4 = $ 9,849.4
Step-by-step explanation:
1 quarter = 3 months => 1 year = 4 quarters
(emoji) + 3 = -6 { find the value of the emoji }
Answers
Answer:
-9
Step-by-step explanation:
x+3= -6
×= -6-3
x= -9
mark me branliest
Answer:
emojissss
Step-by-step explanation:
:3 =.= XD :7
PLEASE HELP ME!!! PLEASE HELP ME!!!!
Answers
Answer:
no le entiendo perdon no se ingles incluso estoy en clase
PWEASE HELPPP!!
Ben and Jerry are driving to Chicago and it takes 270 miles to get there. They
have already traveled 42 miles and are driving 75 mi/h. Write a function that
models the distance they drive as a function of time.
Answers
Answer:
d= 75*t
Step-by-step explanation:
Given data
We are given that the total distance = 270 miles
And that they have already traveled 42 miles
speed= 75mi/h
The remaining distance of the journey is = 270-42
= 228 miles
We know that
speed= distance/time
distance= speed*time
also
d= 75*t
Hence, we can estimate the distance they have traveled for any number of time t
point (4, 10) lies in which quadrant
Answers
Answer:
the second quadrant
Step-by-step explanation:
Answer:
itssss sooooo easy
Step-by-step explanation:
quadrant 1
this killing me pls help ♀️
Answers
Add 3 to both sides.
-6p = 12
Divide -6 by both sides.
p = -2
A dress regularly costs $70, but is on sle for $56. What is the percent discount?
Answers
Answer:
$14
Step-by-step explanation:
70-56=14
Answer:
14%
Step-by-step explanation:
I guessed.
