Which of the following is the equation for the graph shown?
graph of vertical hyperbola on a coordinate plane going through about 2 and one fourth comma 0 and negative 2 and one fourth comma 0 with points at negative 3 comma 0 and 3 comma 0, lines at y equals five thirds and y equals negative five thirds
y squared over 4 minus x squared over 5 equals 1
x squared over 4 minus y squared over 5 equals 1
x squared over 5 minus y squared over 4 equals 1
y squared over 5 minus x squared over 4 equals 1
Answers
Answer:
x squared over 5 minus y squared over 4 equals 1
The required equation of the given hyperbola is y²/5 - x²/4 = 1. Option D is correct.
What is hyperbola?A curve is created when a double right circular cone meets a plane that splits the cone in half: a planar curve created by a point that is mobile enough for the distance between two stationary points to remain constant.
Here,
The given hyperbola,
Has b = √5 and a = 2
Now, the equation of the hyperbola is given as,
y²/b² - x²/a² = 1
y²/5 - x²/4 = 1
Thus, the required equation of the given hyperbola is y²/5 - x²/4 = 1. Option D is correct.
Learn more about hyperbola here:
https://brainly.com/question/28989785
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Related Questions
POR FAVOR ME AJUDE
Dê o valor da expressão algébrica: 2x + y - 6 sendo x = 3 e y = -8
preciso entregar hoje!!
Answers
Answer:
2x3+-8-6= -8
I can't explain cause I don't know a lot of Espanol
Answer:
The answer is -8.
Explanation:
You need to subsitute the x and the y with the -8 and 3. Then just solve from there.
Pls help! Will give brainliest!!
Answers
Considering area (A) of garden as 30 square feet:
30 = x(2x+7)
Now we need to expand it:
x(2x+7) = 2x^2 + 7x
2x^2 + 7x = 30
Adding this into an Algebra calculator gives us 5/2 or 2.5
So x = 2.5
To prove this:
2(2.5) + 7 = 12
14 * 2.5 = 30
(2x+7) x = 30
you can distribute to make this easier
2x^2 + 7x = 30
you can plug this into quadratic formula by setting the equation =0, so:
2x^2 +7x -30 = 0
where 2x^2 = a
7x = b
and -30 = c
you can plug this into your calculator and get an answer of
X = 2.5
The table shows the cities that experienced droughts last year due to a shortage of rainfall. Which city had the greatest shortage of rain?
Houston / -15 inches
Birmingham / -17 inches
Jackson / -9 inches
Atlanta / -11 inches
A) Atlanta
B) Birmingham
C) Houston
D) Jackson
Answers
Answer: Birmingham
Step-by-step explanation:
beep
The area of a rectangular parking lot is 24 square yards.
Which of the following could NOT be the dimensions of the lot?
12 yards by 3 yards
1 yard by 24 yards
4 yards by 6 yards
3 yards by 8 yards
Answers
12x3 is 36
1x24 is 24
4x6 is 24
3x8 is 24
The only one that isn’t 24 is 12 by 3. Hope this helps.
Explanation:
To find the answer to this problem, you should go through your list of possible solutions and determine which one will not equal 24 square yards. To determine which one will and will not equal 24, you will have to multiply each solution.
12 • 3 = 36
1 • 24 = 24
4 • 6 = 24
3 • 8 = 24
All but one of our answer is 24, therefore 12yds by 3yds is our answer, because 12 times 3 is 36.
*Side Note*
Considering the part of the question “The area of a rectangular parking lot is 24 square yards.” 1 yard is equivalent to 3 feet, so in retrospect, answer (B) 1 yard by 24 yards, or a 3 foot by 72 foot parking lot would not physically work considering that you typical car is about 5.8 feet wide. No car would be able to fit in that parking lot.
Solve the system using elimination and find the y and x coordinates
Answers
Answer:(-1,1)
Step-by-step explanation:
Answer:
Your answer is: (2,-1). I provided a picture in case you need to show your work.
A tart contains either 3 white, or 4 red, or 5 black cherries. A tray of 20 tarts contains 89 cherries. How many red cherries are on the tray if it contains 3 tarts with white cherries?
Answers
- x be the number of tarts with white cherries
- y be the number of tarts with red cherries
- z be the number of tarts with black cherries
From the problem, we know that each tart can only have one type of cherry. So we can set up the following system of equations:
x + y + z = 20 (the total number of tarts is 20)
3x + 4y + 5z = 89 (the total number of cherries is 89)
We also know from the problem that each tart with white cherries contains 3 cherries. So the total number of white cherries is 3x. We are looking for the number of red cherries, which is 4y.
To solve for y, we can use substitution. We can rearrange the first equation to get:
z = 20 - x - y
Then we substitute this expression for z in the second equation:
3x + 4y + 5(20 - x - y) = 89
Simplifying this equation, we get:
2x - y = -3
Now we can solve for y by isolating it on one side of the equation:
y = 2x + 3
We know that each tart with white cherries contains 3 cherries, so the total number of white cherries is 3x. We also know that each tart with black cherries contains 5 cherries, so the total number of black cherries is 5z. So we can rewrite the equation for the total number of cherries as:
3x + 4y + 5(20 - x - y) = 89
Simplifying this equation, we get:
2x - y = -3
Now we can solve for y by isolating it on one side of the equation:
y = 2x + 3
We know that each tart with white cherries contains 3 cherries, so the total number of white cherries is 3x. We also know that each tart with black cherries contains 5 cherries, so the total number of black cherries is 5z. So we can rewrite the equation for the total number of cherries as:
3x + 4y + 5(20 - x - y) = 89
Simplifying this equation, we get:
This text is generated by Ask AI! Download now: https://app.adjust.com/88t5kzu
The cost of
3
bags of grapes is normally
$
9.36
, but they are on sale for
$
7.59
. What is the savings for each bag?
Answers
Answer:
The answer will be one dollar and 77 cents ($1.77)
Step-by-step explanation:
$9.36
-$7.59
—————
$1.77
9.36-7.59
=$1.77
2r-5/4 = 58
I don’t understand what to do next
Answers
Hi
The aim of an equation is to have the letter on one side and a value to the pther side of the equal sign.
For achieving this goal, I can use all operation I know and all quantities I want as long as I do it to each side in the same time. I will make apparent operation in bold.
So :
2r - 5/4 = 58
if I want 2r to be alone, I need to get rid of -5/4
The best way to do that is to add 5/4 to each side as -5/4 + 5/4 = 0
so
2r -5/4 +5/4 = 58 +5/4
2r +0 = 58 +5/4
now we have :
2r = 58+5/4
I will caculate the value of 58 +5/4
best way to do that is to convert 58 into a fraction . as 58 *4 = 232 so 58 = 232/4
so now we have :
2r = 232/4 +5/4
2r = 237/4
2r = 59.25
Now we have " 2r " , but my aim is to have only one " r" . So we divide by "2" on each side :
2r /2 = 59.25 /2
r =29.625
If I want to check my result, I exchange the letter by the value I found.
2 ( 29.625 ) - 5/4 = 59.25 - 5/4 = 59.25 - 1.25 = 58
as 58 is the value given in line one for 2r - 5/4 , so my result is correct.
Answer:
r = 118.5
Explanation:
Given expression:
\(\sf \dfrac{2r-5}{4} = 58\)
Multiply Both sides by 4
\(\sf \dfrac{2r-5}{4} \times 4 = 58\times 4\)
Doing so gives:
\(\sf 2r-5 = 232\)
Add 5 on both sides
\(\sf 2r-5+5 = 232 + 5\)
Simplify following
\(\sf 2r = 237\)
Dividing Both sides by 2
\(\sf r = 118.5\)
help please its for a grade
Answers
Answer:
B
Step-by-step explanation:
5/9
Answer:
0.555555........
Step-by-step explanation:
5 divided by 9 is 0.555555.......
Please help me with this question also
Answers
Answer:
84 and £621.6
Step-by-step explanation:
You have a pizza with diameter 12
2
3 in., and a square box that is 12.65 in. across. Write 12
2
3 as a decimal. Can you fit the pizza inside the box?
What is the decimal expansion for 12
2
3?
A.12.6
B.12.65
C.12.6
D.12.66
pls help me
Answers
Answer:
D is the right choice and no you cannot fit the pizza inside the box.
Step-by-step explanation:
D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.
Answer:
I believe the answer is D.
Step-by-step explanation:
Dorian buys 2 pounds of almonds for $21.98 and 3 pounds of dried apricots for $26.25. Which is less expensive per pound? How much is less expensive?
Answers
Dried apricots are $2.24 per pound less expensive.
Step-by-step explanation:
Apricots are less expensive by $2.24 per pound.
Step-by-step explanation:
The cost of 2 pound of almonds for = $21.98
The cost of 1 pound of almonds =
= $10.99
The cost of 3 pounds dried apricots for = $26.25
The cost of 1 pound dried apricots =
= $8.75
Difference in cost per pound = 10.99 - 8.75
= $2.24
C bought 2 pens, a book and a bag from a bookstore. The book cost three times as much as the pen, and the bag cost $15 more than the book. She spent $175 altogether. What was the cost of the book?
Answers
Answer: Let penz cost be X,
Total cost=175,
》3(X)+(X+15)+2×X=175
》3X+X+15+2X=175
》6X=160
》X=$40. That’s pen’s cost.
Therefore,cost of book= 3×40
=$120.
Step-by-step explanation:
Answer:
$68 58 = book ($)
Step-by-step explanation:
bk bg p 30 (30+15) 10 60 75 20 = 155 ($) 175-155 = 20 20/7 = 2.867 *3 each part + 8.58 + 8 .58 + 2.86 68.58($) 83.58 ($) and 22.86 ($) plug in 22.86 * 3 = 68.58 proof 68.58+15 = 83.58
Use the digits 1 through 9, exactly one time each, to fill in the boxes and make three decimals whose sum is as close to one (1) as possible. 0. ??? 0. ??? + 0. ??? ----------
Answers
Answer:
0.789 + 0.631 + 0.542
Step-by-step explanation:
This is just my thought over estimate
Answer:
10x
Step-by-step explanation:
Multiple 1 and 10 add thex
If two types of matter are combined and energy is given off, what type of change is likely to have occurred?
chemical change
physical change
particle change
shape change
Answers
Answer:
Chemical change
Explanation:
If two types of matter reacts or are combined and energy is given off, the type of change that might have occurred is a chemical change. A chemical change is one in which a new kind of matter is formed. It is always accompanied by energy changes. The process is not easily reversible. When an exothermic reaction or change occurs, heat is released and it is a typical characteristic of chemical change.
PLs HElp duw in a few secs 50 points!!!!
Answers
Answer:
\(f(t)=5 \cdot 3^t\)
The following statements are true:
t = independent variablef(t) = dependent variableWhen f(5) = 1215, the "5" represents "5 years" and the 1215 represents 1215000 which is "1.215 million cars sold"hi, Im offering 50 points for this one, Pls help me, I need an explanation and a answer
Answers
Answer:24/8 cups of water
Step-by-step explanation:
I think u just add it up like, 1/8. there were 6 people that did 1/8 so 6/8 cups. or 3/4.
then 2 people did 1/4 so, that is 2/4, or 1/2. so currently 5/4 cups of water.
3 people did 3/8, so 9/8. 10/8 plus 9/8=19/8
19/8plus 5/8 = 24/8.
i dont know if correct but still try on ur own.
Answer:
(1/8*6)+(1/4*2)+(3/8*3)+5/8=
3/4+1/2+1 1/8+5/8=
6/8+4/8+1 1/8+5/8=24/8
24/8=3
Answer: 3
elect the correct answer. What is the product of (78)(-16)(-7)(-114)? A. -7 B. -916 C. -17 D. 2312
Answers
Step by step
Product is multiplication
(78)(-16)(-7)(-114) = ?
(78)(-16) = - 1248
(-1248)(-7) = 8736
(8736)(-114) = -996,904
Answer: The correct answer is not listed
Step-by-step explanation:
I got (-995,904)
Find s(20) for the sequence s(n)=5n-2,ne {1 2, 3,... }
Answers
Answer:
Step-by-step explanation:
c
S(20)=
5*20-2=100-2=98
can someone help me with the question thats circled?
you have to answer the a, b and c questions
Answers
Answer:
Step-by-step explanation:
a. 16
b. 192
c. 242688
A doctor suspects you might have a certain strain of flu and wants to test your blood for the presence of markers for this strain of virus. Why would it be good for the doctor to take a sample of your blood rather than use the population? A.Testing all of the people in my city would be expensive and take too much time B.Testing all of the people in the hospital wouldn't tell them about my specific condition C.Testing all the blood in my body isn't really possible while keeping me alive
Answers
Answer:
B. Testing all of the people in the hospital wouldn't tell them about my specific condition
Step-by-step explanation: As explained in the answer, the doctor suspects that you have a specific strain of flu, so it is not useful to test others because the suspected patient is already near. Also, you may be the first carrier of this strain of flu so the doctor would maybe want to focus on any changes found daily.
the line plot shows the amount of milk that was in each students glass at a party.How much milk would be in each glass if the total amount in all of the glasses were redistributed equally?
I need this quickly please help ty!
Answers
Answer:
5 Pints total
Each person gets 5 pints
Step-by-step explanation:
There is a 9/10 and a 1/10 which makes 1
There are 2 2/10 and 2 8/10 which makes 2
There is a 4/10 and a 6/10 which makes 1
There are 2 5/10 which makes 1
This adds up to a total of 5 pints.
If the question is how many pints are in each drink for them all to be equal it would be 5/10 or 1/2 pints each because there are 5 pints and 10 people with milk.
Find the distance between the pair of points on the coordinate plane. Round to the nearest tenth of necessary. (-4,-3 and 2,1)
Answers
Answer:
Step-by-step explanation:
distance is 1.41421
haven't rounded
how has your last two minutes been?
Answers
Tim incorrectly rewrote the expression 1/2p - (1/4p + 4) as 1/2p + 1/2p - 4. Rewrite the expression without parentheses. What was Tim's error?
Answers
Answer:
1/2p - 1/4p - 4.
Step-by-step explanation:
1/2p - (1/4p + 4)
= 12p - 1/4p - 4
≠ 1/2p + 1/2p - 4
Instead of writing -1/4p, Tim wrote 1/2p
What are the main differences between the Greatest Common Factor and the Least Common Multiple of a pair of number? Use the numbers 10 and 15 to show the differences in finding the GCF and LCM. Explain your work.
Answers
Answer: GCF = 5 LCM = 30
Step-by-step explanation:
GCF is the biggest factor they have in common.
LCM is the smallest multiple they have in common. This can be found by multiplying the GCF by the leftover values.
10 15
∧ ∧
2 · 5 3 · 5
GCF: 5
LCM: 5 · 2 · 3 = 30
Answer:
isdk
Step-by-step explanation:
A project will take a total of 720 person-days to complete. If the project must be completed in 30 days, how many people must be employed? PLEASE HURRY
Answers
Answer:
192 hours per day / 8 hours per person per day = 24 people
Step-by-step explanation:
Assuming each person works for 8 hours a day, the total number of hours needed to complete the project is:
720 person-days x 8 hours = 5,760 hours
To complete the project in 30 days, the total number of hours needed per day is:
5,760 hours / 30 days = 192 hours per day
See the picture to solve the question 1Question=10 points
Answers
Answer:
1.5x+2.75y+33
Step-by-step explanation:
Call x: the hour of dogs keeping
y: the hour of wolves keeping
The total charge for dogs keeping: 19+ 1.5x
The total charge for wolves keeping: 14+2.75y
Total cost (19+ 1.5x)+(14+2.75y)= 1.5x+2.75y+33
What is the number, in cubic inches of the original box?
Answers
The volume of the original box is given as
V = lwh
V = 10(6)(3)
V = 180 in³
True or false? To add two fractions with x's, you add their numerators and denominators.
I need help with math, it's hard :|
Answers
Answer:
im pretty sure this is false bc if you have a fraction and you add the top and the bottom you are just getting the sum when you r supposed to be deviding the numbers
Step-by-step explanation:
im not sure if im correct so i would double check but either way have a great day dont let anyone or anything bother you. and be positive