PLEASE HELP!!!
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Match the hyperbolas to their vertices.
Answers
Answer:
see file below.
Step-by-step explanation:
The matching of hyperbolas to their vertices is shown below.
What is Equation of 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
1. (x + 2)²/3² - (y - 5)²/4² = 1
As, the standard form (x - h)²/a² - (y - k)²/b² = 1
Here a = 3 , b = 4 , h = -2 , k = 5
So, The coordinates of the vertices are (h ± a , k)
The coordinates of the vertices are (1 , 5) , (-5 , 5)
2. (x - 4)²/8² - (y + 2)²/9² = 1
As, the standard form (x - h)²/a² - (y - k)²/b² = 1
Here a = 8 , b = 9 , h = 4 , k = -2
So, The coordinates of the vertices are (h ± a , k)
The coordinates of the vertices are (12 , -2) , (-4 , -2)
3. (y + 5)²/15² - (x - 1)²/8² = 1
As, the standard form (x - h)²/a² - (y - k)²/b² = 1
Here a = 15 , b = 8 , h = -5 , k = 1
So, The coordinates of the vertices are (h ± a , k)
The coordinates of the vertices are (-20 , 1) , (10 , 1)
4. (x - 4)²/8² - (y + 2)²/6² = 1
As, the standard form (x - h)²/a² - (y - k)²/b² = 1
Here a = 8 , b = 6 , h = 4 , k = -2
So, The coordinates of the vertices are (h ± a , k)
The coordinates of the vertices are (12 , -2) , (-4 , -2)
5. (y - 3 )²/6² - (x + 7 )²/5² = 1
As, the standard form (x - h)²/a² - (y - k)²/b² = 1
Here a = 6 , b = 5 , h = 3 , k = -7
So, The coordinates of the vertices are (h ± a , k)
The coordinates of the vertices are (-3 , -7) , (9, -7)
6. (x - 3)²/5² - (y + 7)²/10² = 1
As, the standard form (x - h)²/a² - (y - k)²/b² = 1
Here a = 5 , b = 10 , h = 3 , k = -7
So, The coordinates of the vertices are (h ± a , k)
The coordinates of the vertices are (-2 , -7) , (8 , -7)
7. (y - 5 )²/7² - (x + 2 )²/8² = 1
As, the standard form (x - h)²/a² - (y - k)²/b² = 1
Here a = 7 , b = 8 , h = -2 , k = 5
So, The coordinates of the vertices are (h ± a , k)
The coordinates of the vertices are (5 , 5) , (-9, 5)
Learn more about Hyperbola here:
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Related Questions
Type the correct answer in each box. Use numerals instead of words.
This table represents function f.
х
-3
2
3
7
у
-2
8
10
18
Complete this table to represent the inverse of function f.
Answers
Answer:
-3 2 3 7
Step-by-step explanation:
The answer is above
Help please. I need an answer quick please.
“Select all the graphs that show a proportional relationship”
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Answer:
Step-by-step explanation:
The graphs of all proportional relationships go through the origin. The first graph satisfies this criterion; the second does not.
Anyone watch anime? If you do plz answer lol, have a good day :)
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Answer:
MYSTREET AND MY INNER DEMONS YES
Step-by-step explanation:
watch them
Tanesha is mixing paint. She mixes 250 ml of white paint with 750 ml of red paint and 1200 ml of yellow paint. Work out the ratio of white to red to yellow paint. Write the answer in its simplest form
Answers
Answer: [tex]5:15:24[/tex]
Step-by-step explanation:
Given
Tanesha mixes 250 ml white, 750 ml red, and 1200 ml yellow paint
So, the ratio of white, red, and yellow paint is
[tex]\Rightarrow 250:750:1200\quad [\text{cancel by 25}]\\\Rightarrow 10:30:48\quad \text{[cancel by 2]}\\\Rightarrow 5:15:24[/tex]
The ratio of three paints is [tex]5:15:24[/tex].
The area of a square patio is 324 square feet. How long is one side of the patio?
feet
help! :)
Answers
How would you test if an equation such as 4x-2y=11 is a function?
Answers
Answer: By putting it on a graph
Step-by-step explanation:
find the value of x in the figure.
Answers
Kevin needs 2/3 of a yard to make a pillow. he has 3 1/3 yards of fabric. How many pillows can he make?
Answers
Answer:
5 pillows
Step-by-step explanation:
3 1/3 also = 10/3
10/2 = 5
5/1 · 2/3 = 10/3
10/3 = 3 1/3
Answer:
5 pillows
Step-by-step explanation:
Divide the total amount of yards by the number of yards to make a pillow to get the number of pillows Kevin can make.
[tex]3 \frac{1}{3} /\frac{2}{3} =\frac{10}{3} /\frac{2}{3} =\frac{10}{3}*\frac{3}{2} =\frac{30}{6} =5[/tex]
DUE IN 30 MINUTES PLEASE SHOW FULL WORK :[
Answers
Answer:
-3x^2√21x * 5x^2√3x
Step-by-step explanation:
-3x√21x^3 * 5x√3x^3
-3x^2√21x * 5x^2√3x
P(A) = 7/20 P(B) = 7/20 P(A or B) = 49/80, P(A and B)= ?
Answers
Answer:
P(A and B) = 7/80
Step-by-step explanation:
The given values of the probabilities of the different events are;
P(A) = 7/20
P(B) = 7/20
P(A or B) = 49/80
P(A and B) = Required
We have by probability theory for any event;
P(A or B) = P(A) + P(B) - P(A and B)
Therefore;
P(A and B) = P(A) + P(B) - P(A or B)
Plugging in the values gives;
P(A and B) = 7/20 + 7/20 - 49/80 = 7/80
∴ P(A and B) = 7/80
Volume (look at the picture)
Answers
Answer:
108
Step-by-step explanation:
You start by finding the area of the trapezoid, which is ((3+5)/2) 3 = 12, then you multiply 12 by 9 which is 12*9 = 108
When using the ___ method to determine pricing, a manager my use an approved operating budget to choose a
desired food cost percentage.
highest price
food cost percentage markup
profit pricing
loss-leader
Answers
Answer:
2
Step-by-step explanation:
4
5
+
2
5
–
1
5
÷
1
3
Simplest form please and in a fraction
Answers
Answer:
68 11/13
Step-by-step explanation:
Answer:
68 11/13
Step-by-step explanation:
So the question wants the problem 45+25-15÷13 to be solved. With this, use the order of PENDAS to solve the problem.
First, do -15 ÷ 13
This will get you -1 2/13
Next, add 45 and 25 together to get 70.
Lastly, do 70-1 2/13 to get 68 11/13.
Please help,, I'll mark as brainliest if correct
Answers
the answer is, the number of packages of corn purchased
Answer:
C. The number of packages of corn purchased.
Step-by-step explanation:
We have been given that a store sells four 1 1/8-pound ears of corn in a package for $3.59. The expression represents the cost of the corn for a number of packages.
Since the cost of each package of corn is $3.59 and represents the cost of 'p' packages of the corn. So 'p' represents the number of packages of corn purchased.
HELP ILL GIVE BRAINLEST its my e+am <3
Answers
Answer:
Think its D
Step-by-step explanation:
Here is a list of numbers:
10, 16, 19, 16, 2, 4, 8 ,16 ,20
State the median.
Answers
Answer: the median is 16
Step-by-step explanation:
A sloth walks 1/8 mile in 1/4 of an hour. Enter the number of miles the sloth will walk in an hour
Answers
Answer:
1/2 mile.
Step-by-step explanation:
There 4 1/4 hours in 1 hour so
the answer is 4 * 1/8
= 4/8
= 1/2 mile.
find the perimeter of the triangle
Answers
Answer:
73.7
Step-by-step explanation:
14 +14 +23+22.7=73.7
Shaughn has 36 bottles of soda.
Each bottle holds 20 ounces of soda.
Shaughn will use 15-ounce paper cups to serve the soda.
How many paper cups will he need to hold
PLEASE ANSWER THIS! BYE
Answers
Answer:
48 cups will be needed thank you
A soccer field is a rectangle 160 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across the field. Use Pythagorean Theorem to determine how far the players run?
Answers
Answer:
200 meters
Step-by-step explanation:
a² + b² = c²
c² = 120² + 160²
c² = 14,400 + 25,600
c² = 40,000
√(c²) = √(40,000)
c = 200
Answer: 200 meters
The population of Arlington High School can be modeled using the equation P(t)=3,500(1.027)^t , where t represents the number of years since 2010. Is the population of Arlington High increasing or decreasing? Explain how you can tell using the equation. What would the population be after 29 years?
Answers
The population of Arlington High is increasing. Then the population of Arlington High school after 29 years will be 7579.
What is an exponent?Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as
y = a(b)ˣ
The population of Arlington High School can be modeled using the equation
[tex]\rm P(t)=3,500(1.027)^t[/tex]
Where t represents the number of years since 2010.
The population of Arlington High is increasing. Because b > 1.
Then the population of Arlington High school after 29 years will be
P(27) = 3500 (1.027)²⁹
P(27) = 7578.98
P(27) ≈ 7579
More about the exponent link is given below.
https://brainly.com/question/5497425
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guyzz pls help. my cuzzies have been arguing whether the answer is 96 or 104.
Answers
Answer:
it's 104.
mark me brainliestt :))
The Garrett family traveled 1,280 miles in 4 days on their driving vacation.
If they traveled the same number of miles each day, how many miles did they travel in 1 day?
325
330
335
320
340
Answers
Answer:
320
Step-by-step explanation:
Find x
Secant tangent angles
Answers
Answer:
148 = x
Step-by-step explanation:
Using the Secant and Tangent Intersection theorem we can say;
38 = 1/2 (x - 72)
38 = 1/2x - 36
74 = 1/2x
(74)/(1/2) = x
148 = x
Hope this helps!
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Answers
Answer:
The answer should be C
Step-by-step explanation:
I just got done calculating it and according to my calculations it should be C
explain how to graph y= -3/2 x + 4
Answers
Answer:
y = 3 x - 4
Step-by-step explanation:
Cody purchased a car for $4500 that will depreciate 28% a year. Write an exponential growth/decay equation that represents the value of Cody's car overtime. How much will the car be worth in 15 years? Round to the nearest cent.
Answers
Answer:
$32.60
Step-by-step explanation:
This question has to to do with exponential decay. The formula is given as:
y = a(1 - r)^x
y = Value of the material after x years
a = Initial value of the material
x = Time in years
r = rate of depreciation or decay
Therefore,
y = 4500 × (1 - 0.28)¹⁵
y = 4500 × 0.72¹⁵
y = $32.598675906
y = Approximately = $32.60
Therefore the of the car after 15 years = $32.60
An equation is a math sentence. Which letter(s) represent only an expression, not a complete math sentence? (Could be more than one answer.)
1. 3y=14
2. x-6
3. a/7=6
4. 3 + 5b
5. 12=0.8(5) + c
6. 6/p + 0.5-2/3(p)
Answers
Answer:
2, 4, 6 are expressions
Step-by-step explanation:
A math sentence has a verb: "is equal to" It could also be some other, similar phrase, such as "is less than" or "is not equal to," for example.
An expression has no verb!
x - 6 Say it out loud. See? No verb. It's like saying "that evil neighbor of mine" without saying anything more. Yes? Did what? Is what? Compares to what?
Consider the sets below.
A {x|x is a polygon}
B {x|x is a triangle}
Which is true?
A ⊂ B
B ⊂ A
Ac = B
Bc = A
Answers
Answer:
B ⊂ A
Step-by-step explanation:
We know that:
A {x|x is a polygon}
So set A is the set of all polygons.
B {x|x is a triangle}
Set B is the set of all triangles.
First, a polygon is a plane geometrical figure made of a finite sequence of straight segments.
For example, a triangle is a polygon, a rectangle is a polygon, etc.
Then, all triangles are polygons, but not all polygons are triangles.
So we can conclude that the whole set B is included in the set A.
Then the correct notation would be:
B ⊂ A
Answer:
B ⊂ A
Step-by-step explanation:
Mikala bought an 18-kilogram bag of dog food. Her dogs eat 2 kilograms of food every 3 days. At this rate, how many days will it take Mikala’s dogs to eat all 18 kilograms of food?
Answers
Answer:
27
Step-by-step explanation: