Answer:
2x2−3y2=6or2x26−3y26=1 or. x23−y22=1or(x−0)2(√3)2−(y−0)2(√2)2=1. This is standard form of the equation of a hyperbola with center.
Step-by-step explanation:
c2 = a2 + b2. Every hyperbola has two asymptotes. A hyperbola with a horizontal transverse axis and center at (h, k) has one asymptote with equation y = k + (x - h) and the other with equation y = k - (x - h).
The slopes of the asymptotes of the hyperbola are +3 and -3.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
The standard equation for a hyperbola with a horizontal transverse axis is:
[tex](x-h)^2/a^2 - (y-k)^2/b^2 = 1[/tex]
where (h,k) is the center of the hyperbola, "a" is the distance from the center to the vertices along the x-axis, and "b" is the distance from the center to the vertices along the y-axis.
Comparing this to the given equation:
[tex]x^2/2^2 - y^2/6^2 = 1[/tex]
We can see that h = k = 0, a = 2, and b = 6.
The slopes of the asymptotes are given by:
±(b/a)
So, the slopes of the asymptotes are:
±(6/2) = ±3
Therefore,
The slopes of the asymptotes of the hyperbola are +3 and -3.
Learn more about equations here:
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Solve this equation with ÷, ×, -, or +.
18 _ 2 × 4 = 26
Answer:
+
Step-by-step explanation:
b/c
18+2×4
18+8
26
hope it's helpful ❤❤❤
THANK YOU.
Write an expression for the sequence of operations described below.
q more than the quotient of 10 and p
Do not simplify any part of the expression.
9. What is the best model for the data?
Answer choices:
Linear
Exponential
Quadratic
Answer:
Exponential
Step-by-step explanation:
I think this is the answer but not correct me if I'm wrong
Please help I’ll mark you as brainliest if correct!
Answer:
304
Step-by-step explanation:
The area of the square is 12 x 8 = 96.
There are two triangles with area (11x8)/2=44. 44x2=88.
There are two triangles with area (10x12)/2=60. 60x2=120.
96+88+120=304
Hope I helped!
Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood. Assume this estimate is
correct. Suppose researchers choose 7 baby elk at random to monitor. Let X = the number that survive to adulthood.
What is the probability that more than 4 elk in the sample to survive to adulthood?
O 0.6294
O 0.2304
0.8598
0.1402
O 0.3706
Answer:
0.1402
Step-by-step explanation:
For each baby elk, there are only two possible outcomes. Either they survive adulthood, or they do not survive. The probability of an elk surviving adulthood is independent of other elks. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood.
This means that [tex]p = 0.44[/tex]
Suppose researchers choose 7 baby elk at random to monitor.
This means that [tex]n = 7[/tex]
What is the probability that more than 4 elk in the sample to survive to adulthood?
This is:
[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{7,5}.(0.44)^{5}.(0.56)^{2} = 0.1086[/tex]
[tex]P(X = 6) = C_{7,6}.(0.44)^{6}.(0.56)^{1} = 0.0284[/tex]
[tex]P(X = 7) = C_{7,7}.(0.44)^{7}.(0.56)^{0} = 0.0032[/tex]
[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) = 0.1086 + 0.0284 + 0.0032 = 0.1402[/tex]
0.1402 probability that more than 4 elk in the sample to survive to adulthood.
Using the concept of binomial probability, the probability that more than 4 survive is 0.1402
Using the binomial probability formula :
[tex] P(x = x) = nCx \times p^{x} \times q^{(n-x)} [/tex] p = probability of success = 0.44q = 1 - p = 1 - 0.44 = 0.56 n = number of trials = 7The probability that more than 4 survive can be defined thus :
[tex] P(x > 4) = p(x = 5) + p(x = 6) + p(x = 7) [/tex]Using a binomial probability calculator :
[tex] P(x > 4) = 0.1086 + 0.0284 + 0.0032 [/tex]
[tex] P(x > 4) = 0.1402 [/tex]
Hence, the probability that more than 4 survive is 0.1402
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I will give brainiest to whoever answers correctly !!
Answer:
it is not clear .... please add the question and send the link of the question
Answer:
$712.79
Step-by-step explanation:
What is the distance between the points (-9,5) and (8,5)
Answer:
17 units
Step-by-step explanation:
Use distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex], to find the distance between (-9, 5) and (8, 5):
Let,
[tex] (x_1, y_1) = (-9, 5) [/tex]
[tex] (x_2, y_2) = (8, 5) [/tex]
Plug in the values into the distance formula:
[tex] d = \sqrt{(8 - (-9))^2 + (5 - 5)^2} [/tex]
[tex] d = \sqrt{(17)^2 + (0)^2} [/tex]
[tex] d = \sqrt{(289 + 0)} [/tex]
[tex] d = \sqrt{289} [/tex]
[tex] d = 17 [/tex]
Plz help due tomorrow
Answer:
Step-by-step explanation:
1/6 x 1/5 + 1/30
= 1/30 + 1/30
= 2/30
=1/15
Which one is a better deal? Deal 1: $7.65 for 9 iTunes songs Deal 2: $6.93 for 7 iTunes songs
Answer:
yeah I would say deal #1 is better
which of the following are functions.
Answer:
Graph ii and iii
Step-by-step explanation:
In graph ii and iii, every input has one and only output. Another way to check is by doing the vertical line test.
https://brainly.com/question/20659247 Someone please help I seriously need it just use the link know what here you go if you dont wanna use the link
Ana completed 40% of her math test yesterday. She completed 12 math problems. How many math problems are on her test?
Answer: 30
Step-by-step explanation:
as you see i kinda need help lol
Answer:
i believe the answer is C
Step-by-step explanation:
Question 5
Evaluate:
Five cubed.
Write the numerical answer only.
Answer:
125
Step-by-step explanation:
..................
Answer:
pretty sure it's 125
Step-by-step explanation:
hope this helps!
i need help with finding area whats the area of a 3m an 7m regtangle
Answer:
34
Step-by-step explanation:
Answer:
Area of rectangle =LXB
L=7m
B=3m
so 7m multiply by 3m gives 21 so the area is 21
solve the equation 1/2x+7=18
Answer: 22
Step-by-step explanation:
Solve for x
1/2x + 7 = 18
Combine 1/2 and x.
x/2+ 7 = 18
Move all terms not containing x to the right side of the equation.
Subtract 7 from both sides of the equation.
x/2= 18 − 7
x/2 = 11
Multiply both sides of the equation by 2.
2 ⋅ x/2 = 2 ⋅ 11
Simplify both sides of the equation.
Cancel the common factor of 2.
x = 2 ⋅ 11
Multiply 2 by 11.
x = 22
Find the rule and the graph of the function whose graph can be obtained by performing the translation 2 units left and 3
units up on the parent function f(x)=x?
Answer:
b.
Step-by-step explanation:
1. You have the following parent function given in the problem above:
f(x)=x³ (This is the simplest form. We need to translate it 3 units left and 2 units down)
2. If you take the parent function and make y=f(x+3), then you have:
(The function is shifted 3 units left on the x-axis).
3. Then you if you make y=f(x+3)-2, as following, you obtain:
(The function is shifted 2 units down on the y-axis).
4. Therefore, that is how you obtain the final function.
The answer is the graph shown in .b
Please help. The few questions I need help with are in the image below. Thanks.
Answer:
3) 21/60= 0.35
4) 5/4= 1.25
5) 9/15= 0.6 or 2/3
6) 378/15= 25.2 or 25 and 1/5
7) 1 1/2/ 2/3= 2.5
8) 28 1/3 / 3 1/3= 8.5
Step-by-step explanation:
hope this helps!
mark me brainliest please!
517 37/50 + 312 3/100
Answer: 829 3/4 or 829 75/100
Step-by-step explanation:
36 over 9 = g over 1
Answer:
4/1
Step-by-step explanation:
g is 4
the product of two number is 20 and the sum of square is 41 find the number
Let the two number is a and b
so,
product =ab=20
sum of square=[tex]\bold{a^2+b^2=41 }[/tex]
Then,
[tex]\bold{(a+b)^2=a^2+b^2+2ab }[/tex]
[tex]\bold{ (a+b)^2=41+2×40 }[/tex]
[tex]\bold{ (a+b)^2=81 }[/tex]
[tex]\bold{a+b=\sqrt{81} }[/tex]
[tex]\bold{a+b=9 }[/tex]•••••••••(equation I)
Now,
[tex]\bold{(a-b)^2=a^2+b^2-4ab }[/tex]
[tex]\bold{ (a-b)^2=41-4×20 }[/tex]
[tex]\bold{(a-b)^2=41-40 }[/tex]
[tex]\bold{a-b=\sqrt{1} }[/tex]
[tex]\bold{a-b=1 }[/tex]••••••••(equation II)
Now,combine the equation I and equation II
we,get
[tex]\bold{a+b+a-b=9+1 }[/tex]
[tex]\bold{a+\cancel{b}+a\cancel{-b}=10 }[/tex]
[tex]\bold{ 2a=10 }[/tex]
[tex]\bold{a=\dfrac{10}{2} }[/tex]
[tex]\blue{\boxed{ a=5 }}[/tex]
Then,
put the value of a in equation II.
we get that,
[tex]\bold{5-b=1 }[/tex]
[tex]\bold{b+1=5 }[/tex]
[tex]\bold{b=5-1 }[/tex]
[tex]\bold{\boxed{\blue{b=4}} }[/tex]
so,
The two number is 5 and 4.
Please help 30 points
Answer:
The total surface area is 973.89 ft
Step-by-step explanation:
The formula for the surface area of a cylinder is A=2πrh+2πr2.
The top cylinder has a radius of 5 ft, and height of 2 ft.
The bottom cylinder has a radius of 10 ft, and a height of 2 ft.
Plug in the numbers for each and you get:
Top Cylinder:
A=2π(5)(2)+2π(5^2)
A=2π(10)+2π(25)
A= 62.83185307 + 157.079327
A= 219.9111801
A≈ 219.91
Bottom Cylinder:
A= 2π(10)(2)+2π(10^2)
A= 2π(20)+2π(100)
A= 125.6637061 + 628.3185307
A= 753.9822368
A≈ 753.98
Combined:
753.98 + 219.91 = 973.89
Is this graph and example of sun or cos graph?
Probability! Always struggled with these Plz Help
Answer:
B) The probability that the arrow will point to blue is more than 1/4
Step-by-step explanation:
The blue area makes up 1/3 of the pie chart, and 1/3 > 1/4
PLEASE HELP!!!!
A taxi charges $4.00 for the first mile plus $1.25 for each additional mile.
On a fare of $16.50, how long was the ride?
Order 0.5 , 0.66 , -1.5 , -1.25 from least to greatest
Answer:
-1.25, -1.5, 0.5, 0.66
hope it helps you
solve for x, x+25 70 degrees
Answer:
70-25=45
45+25=70
Step-by-step explanation:
28) Solve the inequality: 12x−10>170
A. x>15
B. x<−90
C. x<−58
D. x<15
Answer:
p=5x+3y
solve for x, number of cupcakes. isolate x
5x=p-3y
divide by 5
x=(p-3y)/5
Step-by-step explanation:
D. x<15
how do i the find the slope?
(btw i know how to do [m=change in y and x] thingy, but i just cant seems to get the right answer.)
Step-by-step explanation:
[tex]x ^{1} = - 5 \\ y ^{1} = - 2 \\ x {}^{2} = - 2 \\ y {}^{2} = 1 \\ then \: you \: solve \: with \: that \: formula \: you \: know[/tex]
5. Emma, Brandy, and Damian will cut a rope that is 29.8 feet long into
3 jump ropes. Each of the 3 jump ropes will be the same length. Write a
division sentence using compatible numbers to estimate the length of
each rope
Answer:
29.8÷3=9.93333333333
Step-by-step explanation:
*note* the 3 is a repeating number