Answers
Answer:
((y + 2) ^ 2)/25 - ((x - 3) ^ 2)/4 = 1 O A. ( (3, - 2 plus/minus sqrt(21)) B. (3, - 2 plus/minus sqrt(29)) O B. O c. D . (3 plus/minus sqrt(21), - 2); (3 plus/minus sqrt(29), - 2)
The foci of the hyperbola will be (3, -2 + √29) and (3, -2 - √29). Then the correct option is B.
What is a hyperbola?The hyperbola is the locus of a point such that the difference of distance from point P to two non-movable points. These two points are called foci of hyperbola.
The hyperbolic equation is given as,
(y - k)² /a² - (x - h)² /b² = 1
Then the foci of the hyperbola are given as,
(h, k + c) and (h, k - c)
The equation of the hyperbola is given below.
(y + 2)² /25 - (x - 3)² / 4 = 1
Compare the equations, then we have
(h, k) = (3, -2)
a² = 25
b² = 4
Then the value of 'c' is given as,
c² = a² + b²
c² = 25 + 4
c² = 29
c = √29
Then the foci of the hyperbola will be (3, -2 + √29) and (3, -2 - √29). Then the correct option is B.
More about the hyperbola link is given below.
https://brainly.com/question/12919612
#SPJ2
Related Questions
The formula for the area of a triangle is A = = { bh. Find the area of a triangle with a base (b) of 7 feet and a height (h) of 12 feet.
Answers
Answer:
A=42ft
Step-by-step explanation:
plz brian list
5/2x + 3 = 4/x x = -1 x = -4 x = 4
Answers
Answer:
x = 0.5
Step-by-step explanation:
[tex]\frac{5}{2x} +3=\frac{4}{x}[/tex]
[tex]2x(\frac{5}{2x} +3)=2x(\frac{4}{x})[/tex]
5 + 6x = 8
5 - 5 + 6x = 8 - 5
6x = 3
[tex]\frac{6x}{6} =\frac{3}{6}[/tex]
x = 0.5
if x is directly proportional to y and x= 4.5 when y = 3 find y when x = 24.
A) 63 B) 85 C) 16
Answers
x=4.5 - - -> y=3
x=24 - - - -> y= n
4.5n= 72
n= 72/4.5
n= 16
the answer is C) 16
Y= 3
X=24
Answer: C) 16
you want to create a 99 confidence interval with a margin of error of 25 assuming that the population standard deviation is equal to 1.5 what's the minimum size of the Rams Tampa
Answers
Answer:
The minimum sample size is 239.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Population standard deviation is equal to 1.5
This means that [tex]\sigma = 1.5[/tex]
Margin of error of 0.25
This means that [tex]M = 0.25[/tex]
What's the minimum size of the sample?
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.25 = 2.575\frac{1.5}{\sqrt{n}}[/tex]
[tex]0.25\sqrt{n} = 2.575*1.5[/tex]
[tex]\sqrt{n} = \frac{2.575*1.5}{0.25}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*1.5}{0.25})^2[/tex]
[tex]n = 238.7[/tex]
Rounding up:
The minimum sample size is 239.
mentioned some good points about commerce subject in grade 12??
Answers
Answer:
You can easily be employed in the future
you can be in any profession such as bank accountant,trader, manager at business etc
Step-by-step explanation:
hope you like it
Answer:
well I like
Step-by-step explanation:
to be honest their all i don't know how to explain but their all OK i guess
Plz help me I mark you brainlylist and give point
Answers
Answer:
Step-by-step explanation:
part a ) Triangular prism
part b) 6
help with find Find the value of x
Answers
Answer:
x = 6
Step-by-step explanation:
assume those two lines are the diameters of the circle:
2x + 12 = 15 + x + 3
=> x = 6
Plz help me well mark brainliest if correct.......????
Answers
Answer:
D
Step-by-step explanation:
shows change over time
Please HELPP with this question
Answers
9514 1404 393
Answer:
551.07 yd²
Step-by-step explanation:
For radius r and height h, the total surface area of the cylinder is given by ...
SA = 2πr(r +h)
Here, the radius is 4.5 yards (half the diameter) and the height is 15 yards. That makes the surface area ...
SA = 2(3.14)(4.5 yd)(4.5 +15 yd) = 551.07 yd²
Aaron, Glenn, James, Matt and Trevor stop for pizza. The boys decide to order the same type of pizza. A whole pizza is divided into eight equal pieces and costs seventy cents a slice. Aaron says he will eat one-half of a pizza. Glenn says he will eat one-fourth of a pizza. James says he will eat three-eighths of a pizza. Matt says he will eat four-eighths of a pizza and Trevor says he will eat three-eighths of a pizza. How many whole pizzas do the boys order and what does each boy pay for his pizza slices? Show all your mathematical thinking.
Answers
Answer:
The correct answer is -
1. 2 whole pizza
2. each boy pay for his pizza slices are -
Aaron - $2.80
Glenn - $1.40
James - $2.10,
Matt - $2.80 and
Trevor - $2.10
Step-by-step explanation:
According to the question, Aaron, Glenn, James, Matt, and Trevor are boys who ordered pizza as per their requirements.
Total slices ordered are -1/2 of pizza or 4 for Aaron, 2 for Glenn, 3 slices for James, 4 slices for Matt and 3 for Trevor,
= 4+2+3+4+3 = 16 slices
2 pizza means = 16 slices
total price = 70 cents*16
= $11.20
each boy pay for his pizza slices are -
Aaron - $2.80 - 4 slice
Glenn - $1.40 - 2
James - $2.10, -3
Matt - $2.80 - 4
Trevor - $2.10 -3
Can u help me with 1/2 plz
Answers
Answer:
1.) Yes, it is a function
2.) No, it is not a function.
Step-by-step explanation:
1.) It is a function because none of the numbers in the x-axis repeat.
2.) It is not a function because the numbers in the x-axis repeats 0 three times.
If the measure of angle A=55 degrees, b=12, and c = 7 then find the measure of angle B.
Answers
Answer:
use the sine rule
Step-by-step explanation:
Yo i need some math expert because im confused:
Is this true??:
9.06 = 9.6
Because if its true, does it mean that if you round it both to the nearest tenth, it would have the same answers.
If its false, i want to know why and what will be the answer if both numbers are rounded to the nearest tenth
MARKING BRANLIEST FOR A VALUABLE ANSWER! Anything off topic will be report.ed.
Answers
A store has two different coupons that customers can use. One coupon gives the customer $35 off their purchase, and the other coupon gives the customer 35% off of their purchase. Suppose they let a customer use both coupons and choose which coupon gets applied first. For this context, ignore sales tax.
Let f be the function that inputs a cost in dollars) and outputs the cost after applying the "$35 off" coupon, and let g be the function that inputs a cost in dollars) and outputs the cost after applying the "30% off" coupon.
Required:
What is correctly represents the fact that the cost of purchasing $190 worth of goods is $98 when the "30% oft" coupon is applied first followed by the "$35 off" coupon?
Answers
Answer:
h(x)=f[g(x)]=0.7x-35
Step-by-step explanation:
In this case function f, which inputs a cost and outputs the cost after applying the $35 off coupon looks like this:
f(x)=x-35
where x is the cost of the purchase. In this case we are subtracting the $35 from the cost x.
Function g, which inputs a cost and outputs the cost after applying the 30% off coupon looks like this:
g(x)=x-0.3x
g(x)=0.7x
in this case we are subtracting 30 percent of the cost from the cost of the purchase.
So in order to find a function that represents the cost of the purchase when first applying the 30% coupon and then the $35 coupon we will need to get a composite function f(g(x)). Which means we need to substitute function g(x) into the f(x) function so we get:
h(x)=f[g(x)]=(0.7x)-35
or:
h(x)=0.7x-35
We can prove this function works when plugging x=$190 in so we get:
h(190)=0.7(190)-35
h(190)=133-35
h(190)=98
Ani was told to write the number four and eight hundredths. She wrote
4.8. Explain whether or not you think Ani is correct. If you think she is not correct, write the number correctly.
Answers
Answer:
It would be 4.08, so Ani is wrong writing it as 4.8.
Step-by-step explanation:
So, with this, the number 4 is 4, a single-digit number. Anything below that has a decimal point before it. With the knowledge of there being 8 hundredths, first see this diagram explaining the terms for numbers after the decimal point:
0.1 --> 1 Tenth
0.01 --> 1 Hundredth
0.001 ---> 1 Thousandth
With this, we can see that it will be something of the likes of 4.01-4.09. Since there are 8 Hundredths, it would be 4.08, as 0.01 * 8 = 0.08.
Therefore, she is wrong because she wrote it as 4 and 8 tenths rather than 4 and 8 hundredths.
For a year you owe 1600 on a credit card you pay 19% interest a year how much are you paying
Answers
Step-by-step explanation:
Simple interest = Principle * time * rate of interest
= 1600 * 1 * 19%
= 1600 * (19/100)
= 304
Total amount of debt
= 1600 + 304
= 1904
Answer:
1296
Step-by-step explanation:
what is the value of b?
Answers
Answer:
24
Step-by-step explanation:
2b = b+24
2b-b = 24
b = 24
Write the numbers in order from least to greatest. *
1 point
Captionless Image
1/4; 0.4; 0.55; 3/5
0.4; 1/4; 0.55; 3/5
1/4; 3/5; 0.4; 0.55
3/5; 0.4; 1/4; 0.55
Answers
Answer:
1/4; 0.4; 0.55; 3/5
0.25, 0.40, 0.55, 0.60
Already in order.
0.4; 1/4; 0.55; 3/5
0.40, 0.25, 0.55, 0.60
1/4; 0.4; 0.55; 3/5
1/4; 3/5; 0.4; 0.55
0.25, 0.60, 0.40, 0.55
1/4; 0.4; 0.55; 3/5
3/5; 0.4; 1/4; 0.55
0.60, 0.40, 0.25, 0.55
1/4; 0.4; 0.55; 3/5
20/5 as a whole number
Answers
Answer:
4 is the answer
Step-by-step explanation:
7/10 = y/100
what is y?
Answers
Answer:
7/10= y/ 100
Well the answer is
y=70
which of the is not an example of property tax?
A) Tax paid on the value of a farm a person owns
B) Tax paid on the value of a piece of land a person owns
C) Tax paid on the value of a piece of furniture a person owns
D) Tax paid on the value of a home a person owns
Answers
Answer:
C
Step-by-step explanation:
Furniture is not counted as property that can be taxed.
pls answer pls pls hurry
Answers
Answer: This can not be answered unless you choose a bigger photo.
Step-by-step explanation:
Sorry
PLEASE HELP!!!!!!!!!!
Answers
Answer:
second
Step-by-step explanation:
[tex]\frac{2x}{5} +\frac{1x}{5} +\frac{5}{8} -\frac{2}{8} = \frac{3x}{5} +\frac{3}{8}[/tex]
Answer:
3/5 x + 3/8
remove parentheses:
2/5x + 5/8 + 1/5x - 1/4
simplify terms:
3/5x + 5/8 - 1/4
make 1/4 have a common denominator to 15/8 by multiplying 2/2.
3/5x + 5-2/8 =
3/5x + 3/8
GIVING OUT BRAINLIEST !!! HELP ME PLSS
Answers
Answer:
Step-by-step explanation:
What is the radius of an arc length of 8 m that measures 45°?
Answers
Ive been stuck on this problem for an hour, help pleaseee.
The graph of the function is given below. Give all y-intercepts and x-intercepts shown.
Answers
Answer:
y intercept: [tex]y = 1[/tex]
x intercept: [tex]x = -1[/tex] and [tex]x = -3[/tex]
Step-by-step explanation:
Given
The attached graph
Solving (a): The y intercepts
This is the point where [tex]x = 0[/tex]
From the attached graph, [tex]x = 0[/tex] when
[tex]y = 1[/tex]
Hence, the y intercept is 1
Solving (b): The x intercepts
This is the point where [tex]y = 0[/tex]
From the attached graph, [tex]y = 0[/tex] when
[tex]x = -1[/tex] and [tex]x = -3[/tex]
Hence, the x intercept are -1 and -3
z=−12i+11
What are the real and imaginary parts of z ?
Answers
Answer:
it is easy simply you can answer-12 imaginary 11 is real
Which pair of launch angles below will travel
the same range given the same initial velocity?
A) 30° and 50°
B) 25° and 35°
c) 40° and 50°
D) 30° and 70°
Answers
To Find :
Which of the given pair of launch angles below will travel the same range given the same initial velocity.
Solution :
We know, two projectile with same velocity and different angles a and b can have same initial velocity on when the following condition satisfies :
a + b = 90°
Now, putting all the given value in above condition, we get for value 40° and 50° the above condition is true.
Therefore, option c) is correct.
The following rule is used to work out the total cost, in cunos, ofhings
Total cost - 9 euros for each hour plus 20 euro
Paolo hires the room for 5 hours.
(a) Work out the total cost.
Answers
Answer:
65
Step-by-step explanation:
9+9+9+9+9
or
9×5 both = 45
45+20 euros = 65
45 euros per 5 hours , + bonus the 20 euros = 65 in total.
If x varies inversely as y and x = 24 when y = 4, find x when y = 12.
Answers
what that makes no sense