Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the equations of hyperbolas to their corresponding pairs of vertices.
Answers
Answer:
The corresponding pair are
Step-by-step explanation:
(0,_4) and (6,_4),(4,0) and (4,_10)
please mark BRAINLIST
The solution is,
(x - 3)²/3² - (y + 4)²/2² = 1 ⇒ (0 , -4) , (6 , -4)
(x - 4)²/7² - (y + 6)²/5² = 1 ⇒ (-3 , -6) , (11 , -6)
(y + 5)²/5² - (x - 4)²/8² = 1 ⇒ (4 , 0) , (4 , -10)
(y + 7)²/7² - (x + 2)²/4² = 1 ⇒ (-2 , 0) , (-2 , -14)
(x + 1)²/9² - (y - 1)²/11² = 1 ⇒ (8 , 1) , (-10 , 1)
What is hyperbola?We know that, the standard form of the equations of the hyperbola
- The standard form of the equation of a hyperbola with center (h , k)
and transverse axis parallel to the x-axis is (x - h)²/a² - (y - k)²/b² = 1
- The coordinates of the vertices are (h ± a , k)
- The standard form of the equation of a hyperbola with center (h , k)
and transverse axis parallel to the y-axis is (y - k)²/a² - (x - h)²/b² = 1
- The coordinates of the vertices are (h , k ± a)
here, we have,
Lets solve the problem
# (x - 3)²/3² - (y + 4)²/2² = 1
∵ (x - h)²/a² - (y - k)²/b² = 1
∴ a = 3 , b = 2 , h = 3 , k = -4
∵ The coordinates of the vertices are (h ± a , k)
∴ The coordinates of the vertices are (3 - 3 , -4) , (3 + 3 , -4)
∴ The coordinates of the vertices are (0 , -4) , (6 , -4)
* (x - 3)²/3² - (y + 4)²/2² = 1 ⇒ (0 , -4) , (6 , -4)
# (y - 1)²/2² - (x - 7)²/6² = 1
∵ (y - k)²/a² - (x - h)²/b² = 1
∴ a = 2 , b = 6 , h = 7 , k = 1
∵ The coordinates of the vertices are (h , k ± a)
∴ The coordinates of the vertices are (7 , 1 - 2) , (7 , 1 + 2)
∴ The coordinates of the vertices are (7 , -1) , (7 , 3)
* No answer for this equation
# (x - 4)²/7² - (y + 6)²/5² = 1
equation of hyperbola:
∵ (x - h)²/a² - (y - k)²/b² = 1
∴ a = 7 , b = 5 , h = 4 , k = -6
∵ The coordinates of the vertices are (h ± a , k)
∴ The coordinates of the vertices are (4 - 7 , -6) , (4 + 7 , -6)
∴ The coordinates of the vertices are (-3 , -6) , (11 , -6)
* (x - 4)²/7² - (y + 6)²/5² = 1 ⇒ (-3 , -6) , (11 , -6)
# (y + 5)²/5² - (x - 4)²/8² = 1
equation of hyperbola is:
∵ (y - k)²/a² - (x - h)²/b² = 1
∴ a = 5 , b = 8 , h = 4 , k = -5
∵ The coordinates of the vertices are (h , k ± a)
∴ The coordinates of the vertices are (4 , -5 + 5) , (4 , -5 - 5)
∴ The coordinates of the vertices are (4 , 0) , (4 , -10)
* (y + 5)²/5² - (x - 4)²/8² = 1 ⇒ (4 , 0) , (4 , -10)
# (y + 7)²/7² - (x + 2)²/4² = 1
∵ (y - k)²/a² - (x - h)²/b² = 1
∴ a = 7 , b = 4 , h = -2 , k = -7
∵ The coordinates of the vertices are (h , k ± a)
∴ The coordinates of the vertices are (-2 , -7 + 7) , (-2 , -7 - 7)
∴ The coordinates of the vertices are (-2 , 0) , (-2 , -14)
* (y + 7)²/7² - (x + 2)²/4² = 1 ⇒ (-2 , 0) , (-2 , -14)
# (x + 1)²/9² - (y - 1)²/11² = 1
∵ (x - h)²/a² - (y - k)²/b² = 1
∴ a = 9 , b = 11 , h = -1 , k = 1
∵ The coordinates of the vertices are (h ± a , k)
∴ The coordinates of the vertices are (-1 + 9 , 1) , (-1 - 9 , 1)
∴ The coordinates of the vertices are (8 , 1) , (-10 , 1)
* (x + 1)²/9² - (y - 1)²/11² = 1 ⇒ (8 , 1) , (-10 , 1)
To learn more on hyperbola click:
https://brainly.com/question/16624849
#SPJ7
Related Questions
find the product -2X²×4X²y²
Answers
Answer:
-8X^4y^2
Step-by-step explanation:
-2X² × 4X²y² = -8X^4y^2
edit to add:
first: multiply the coefficients together:
-2 x 4 = -8
second: add the exponents of X together (when you multiply exponents, you just add them together):
² & ² = ^4
and you have the answer:
-8X^4y^2
Step-by-step explanation:
-2X²×4X²-y²
= -4X × 16X - y
= 64X -y
If you answer this for me you will get brainless
Answers
Answer:
50.27
Step-by-step explanation:
A=πr2=π·42≈50.26548
The number of hours, h, it takes for a block of ice to melt varies inversely as the temperature, t. If it takes 3 hours for a
square inch of ice to melt at 60 degrees, find the constant of proportionality
a. 150
c. 210
b. 180
d. 200
Answers
Answer:
180
Step-by-step explanation:
hours = constant / temperature hours varies inversely as the temperature
3 = c / 60
c (constant) = 3 * 60 = 180
Answer:
b. 180
Step-by-step explanation:
dylan has 128 prices of candy from Halloween . he eats half of his candy each week.
identify the function family .
creat a equation to model the scenario .
use equation to determine how much candy he will have after 9 weeks ?
Answers
Answer:
55.5 left over.
Step-by-step explanation:
128/2 = 64
half each week so;
1 whole = two weeks
8 weeks = 8
+ 1 = 8 1/2
so, 64/8.5
is going to be 55.5 left.
The sum of two numbers is 42. The larger number is 2 more than 4 times the smaller number. What is the smaller number?
Answers
Answer:
the lesser number is 3
Step-by-step explanation:
42÷2=21
3×7=21
yhe question states the lesser number is 2 mote than 4 times
Need Help plzzzzzzxxxz
Answers
Answer:
[tex]VW = 50[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Find VW
To find VW, we make use of the following equivalent ratios.
[tex]YX : XW = ZX : XV[/tex]
Where:
[tex]YX = ZX - ZY = 42 - 28 = 14[/tex]
[tex]XV = XW + VW = 25 + VW[/tex]
So, we have:
[tex]14 : 25 = 42 : 25 + VW[/tex]
Express as fraction
[tex]\frac{14 }{ 25 }= \frac{42 }{ 25 + VW}[/tex]
Divide both sides by 14
[tex]\frac{1}{ 25 }= \frac{3}{ 25 + VW}[/tex]
Cross multiply
[tex](25 + VW) * 1 = 3 * 25[/tex]
[tex]25 + VW = 75[/tex]
Solve for VW
[tex]VW = 75 -25[/tex]
[tex]VW = 50[/tex]
In 1960, the average cost of a gallon of milk was $0.49. In 1985, the average cost of a gallon of milk was $2.26. Which of the following represents how to calculate the percent increase in the average cost of a gallon of milk from 1960 to 1985.
A
2.26−0.490.49
B
2.26+0.490.49
C
2.26−0.492.26
D
2.26+0.492.26
Answers
Answer:
A
Step-by-step explanation:
$ 2.26- $0.49
=$1.77 increase from 1960 to 1985
7/12 x 4/6 simplest form
Answers
Jason helped his dad put plastic and aluminum items into the recycling container. The container is a large cube with a length, width, and height of 6 feet. What is the volume of the recycling container?
36 cubic feet
72 cubic feet
216 cubic feet
396 cubic feet
Answers
Answer:
The answer is 216 cubic feet
Step-by-step explanation
when its in cubic it means that their talking about voulme and when dealing with voulme you need to multiply length times width times height so 6 times 6 times 6 which equals 216 cubic feets
Hope this helps^^
Answer:
216
Step-by-step explanation:
Find the area of the triangle.
26 ft
44 ft
The area of the triangle is
Answers
At many college bookstores, students can decide whether to purchase or to rent a textbook for a class. A study was conducted to investigate whether the percent of rented textbooks for all science classes in the state was greater than the percent of rented textbooks for all literature classes in the state. The following hypothesis test was done at the significance level of α=0.05α=0.05.
H0:pS=pLHa:pS>pLH0:pS=pLHa:pS>pL
In the hypotheses, pSpS represents the proportion of all science textbooks that are rented, and pLpL represents the proportion of all literature textbooks that are rented.
All conditions for inference were met, and the resulting pp-value was 0.035. Which of the following is the correct decision for the test?
The pp-value is less than αα. Since 0.035<0.050.035<0.05, the null hypothesis is rejected, and the claim is supported. There is convincing statistical evidence that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
A The pp-value is less than αα, and the null hypothesis is rejected. There is not convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
B The pp-value is less than αα, and the null hypothesis is not rejected. There is not convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
C The pp-value is greater than αα, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
D The pp-value is greater than αα, and the null hypothesis is not rejected. There is not convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
Answers
Answer:
A The p-value is less than α, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
Step-by-step explanation:
Given :
Percentage rented science textbooks = pS
Percentage rented Literature textbooks = pL
To test if percentage Science textbooks in the state was greater than percentage Literature textbooks :
H0: pS = pL
Ha: pS > pL
Pvalue = 0.035 ; α = 0.05
Decision Region :
If Pvalue < α ; We reject H0
In the scenario above,
Pvalue < α ; 0.035 < 0.05 ; Hence, we reject the Null ;
We conclude that There is convincing evidence to support the claim that the proportion of all science textbooks that are rented is greater than the proportion of all literature textbooks that are rented.
When Sandy bought a dress, she paid an 8% sales tax of $2.40.
What was the original price of the dress?
Answers
Answer:
$30.00
Step-by-step explanation:
price of dress x 8% = $2.40
price of dress = 2.40/.08
price of dress = $30.00
what is the place name of 2 in 25
Answers
Answer:
no idea
Step-by-step explanation:
bro
Answer:
20
Step-by-step explanation:
Hope this helps
Identify the rational numbers as positive or negative.
Answers
Answer:
Step-by-step explanation:
We have to follow these rules:
+/+ = +
-/- = +
+/- = -
-/+ = -
so
positive numbers:
+2/+3 ; -2/-3 ; -1/-3 ; +1/+3
negative numbers:
+2/-3 ; -2/+3 ; -1/+3 ; +1/-3
In a fruit cocktail, for every 30 ml of orange juice you need 45 ml of apple juice and 25 ml of coconut milk. What proportion of the cocktail is coconut milk?
Answers
30+45+25 =100;
One angle of a right triangle measures 51°. What is the measure of the other acute angle, in degrees?
Answers
Answer:
39 degree
Step-by-step explanation:
180-90-51=39
what is the answer to this (235-(-30) /5-100
Answers
Answer:
265/ -95 = -2.789
Step-by-step explanation:
235 - - 30 /5 - 100
two negatives equal a positive +
265/5 - 100
265/-95
-2.789
find an equation of the line that satisfies the given conditions. through (2,3); slope 5
Answers
Answer:
y = 5x - 7
Step-by-step explanation:
Here, we are given two clues:
It must pass the point (2, 3)It must have a slope of fiveLet us put the slope into the slope intercept form.
y = 5x + b
We do not know what b is. So, we can go onto Desmos (a secure, graphing website) to see what the y-intercept is. If we do so, we see that we must move the line 7 units downwards to hit the point (2, 3). This means that the equation is:
y = 5x - 7
Hope this helps!
The PTO is selling raffle tickets to raise money for classroom supplies. A raffle ticket costs $3. There is 1 winning ticket out of the 140 tickets sold. The winner gets a prize worth $84. Round your answers to the nearest cent.
What is the expected value (to you) of one raffle ticket?
Calculate the expected value (to you) if you purchase 8 raffle tickets?
What is the expected value (to the PTO) of one raffle ticket?
If the PTO sells all 140 raffle tickets, how much money can they expect to raise for the classroom supplies?
Answers
Answer:
A) 0.54
B) 4.32
C) 2.4
D) 336
Step-by-step explanation:
A)Expected value (you) = (84 × 3) × [tex]\frac{1}{140}[/tex] × (0.3)× [tex]\frac{139}{140}[/tex]
= 0.54
B) Expected value (you) 8 tickets = 0.54 × 8
= 4.32
C) Expected value ( for PTO) = ( 3 - 84) × [tex]\frac{1}{140}[/tex] + ( 3 - 0 ) × [tex]\frac{139}{140}[/tex]
= 2.4
D) For 140 raffle tickets = 2.4 × 140
= 336
I need help please!!
Answers
Which of the following statements is true?
Answers
Answer:
Provide the statements please
Step-by-step explanation:
If f(x) = 3x+ 5 and g(x) = – 2x2 – 5x + 3, find (f + g)(x).
Answers
Answer: 1/8
Step-by-step explanation:(f÷g)(x) =
f(x) / g(x) =
2x / 22x
When we divide expressions with like bases, we subtract the exponents.
2(x - 2x) =
2-x
Now we substitute x = 3
So (f÷g)(3)
2-3
When we have a negative exponent, we perform the reciprocal of the expression and remove the negative sign from the exponent.
1/(23) =
1/8
Solve the equation:
-3p + 10 = 1 for p
Answers
Answer:
11
Step-by-step explanation
because i added and subtrcted and minus
-3p + 10 - 10 = 1 - 10
-3p = -9
-3p/-3 = -9/-3
p = 3
First step to solve this equation x-5=7-2x
Answers
Answer:
The answer is Add 2x to both sides of the equation
Step-by-step explanation:
3x−5=7
please help! I really don't understand!
Answers
b. some clusters are.. 3,4,5, and 6 they are clusters because they are assembled around a particular value. the peak is 6 because it is the highest number it reaches. there are no gaps in this table.
c. to calculate the average with a graph you sum the numbers then divide by the total number of values in the set. for this table you add 1+2+3+3+4+4+4+5+5+5+5+5+5 then you divide by 15.
1+2+3+3+4+4+4+5+5+5+5+5+5=51
51 ÷ 15= 3.4
Find the value of x in the triangle shown below 4 3
Answers
Answer: 5
Step-by-step explanation: I took the test
One year there was a total of 59 commercial and noncommercial orbital launches worldwide. In addition, the number of noncommercial orbital launches was two more
than twice the number of commercial orbital launches. Determine the number of commercial and noncommercial orbital launches.
Answers
Answer:
The number of commercial orbital launches is equal to 19 and the number of noncommercial orbital launches is equal to 40.
Step-by-step explanation:
IMPORTANT INFORMATION: The number of noncommercial orbital launches was two more than twice the number of commercial orbital launches.
Let's say that the number of commercial orbital launches is equal to x. Now, the number of noncommercial orbital launches is equal to 2x+2.
We are told that if we add the number of commercial and noncommercial orbital launches together we will get 59.
Therefore, if we add 2x+2 with x we should get 59:
2x+2+x=59
3x+2=59
3x=57
x=19
This is how we can come to the answer that the number of commercial orbital launches is equal to 19 and the number of noncommercial orbital launches is equal to 40 (2x+2=2*19+2=38+2=40).
Hope this helps!
True or False
If you know at least one
angle on the diagram
below you can find the
other three.
Answers
Hope this helps:)
In how many ways can a committee consisting of 6 members be formed from 20 people?
Answers
I need help ASAP. Worth 20 points
Look at picture plz
Answers
hope this helps