Which expression gives the length of the transverse axis of the hyperbola
shown below?
Answers
Explanation:
Length of transverse axis of hyperbola means distance between both the vertices of hyperbola which is constant given by 2a.
As definition of hyperbola:
Difference in distance of any point (x,y) from both focus is a positive constant equals to length of transverse axis.
So, distance of (x,y) from foci 1)-( distance of (x,y) from foci 2)=2a
x-y=2a
Length of transverse axis is x-y.
hope it helps....
Good luck on your assignment
The length of the transverse axis is x - y if point (x, y) is separated from either focus by a positive constant equal to the transverse axis' length option (C) x - y is correct.
What is hyperbola?It's a two-dimensional geometry curve with two components that are both symmetric. In other words, the number of points in two-dimensional geometry that have a constant difference between them and two fixed points in the plane can be defined.
We have given a hyperbola shown in the picture.
The green line indicates the transverse axis of the hyperbola.
As we know,
The distance between the two vertices of the hyperbola, which is always given by 2a, is referred to as the length of the transverse axis.
Any point (x, y) is separated from either focus by a positive constant equal to the transverse axis' length.
x-y=2a
The length of the transverse axis = x - y
Thus, the length of the transverse axis is x - y if point (x, y) is separated from either focus by a positive constant equal to the transverse axis' length option (C) x - y is correct.
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Related Questions
the angle of elevation from the bottom of a scenic gondola ride to the top of a mountain is 22 degrees. If the vertical distance from the bottom to the top of the mountain 689 feet, what is the length of the Gondola ride. Round the nearest foot.
A. 258 ft
B. 634 ft
C. 1839 ft
D. 143 ft
Answers
Answer:
C. 1839 ft.
Step-by-step explanation:
The length of the gondola is the hypotenuse of the right triangle and its opposite side is 689 feet.
sin 22 = 689 / h
h = 690 / sin 22
h = 1839.26 ft
The length of the Gondola ride is equal to 1839.26 ft
We have given that, the angle of elevation from the bottom of a scenic gondola ride to the top of a mountain is 22 degrees.
If the vertical distance from the bottom to the top of the mountain is 689 feet,
The length of the gondola is the hypotenuse of the right triangle and its opposite side is 689 feet.
What is the ratio of sin?
[tex]sin(\theta)=\frac{Opposite side}{hypotenuse}[/tex]
Therefore we get,
sin 22 = 689 / h
h = 690 / sin 22
h = 1839.26 ft
The length of the Gondola ride is equal to 1839.26 ft.
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Over the first 20 games of the season, the distribution of a basketball teams scores is bell shaped with
a mean of 94 points per game and a high of 109. Over the next 10 games, the team scored 94, 110, 102,
93, 98, 99, 121, 96, 94, and 108 points. Which statement best describes the change in the team's average
number of points per game?
Answers
The statement that most adequately recounts the change in the average of the team's no. of points per game would be:
A). The new mean is greater than the previous mean.
Given,
[tex]Mean = 94[/tex]
Now,
The points per game [tex]= 94, 110, 102, 93, 98, 99, 121, 96, 94, and 108[/tex]
New mean = (sum of observations)/No. of observations
[tex]= 1015/10[/tex]
= [tex]101.5[/tex]
Since [tex]101.5[/tex] is greater than [tex]94[/tex], the previous mean.
Thus, option A is the correct answer.
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Please help me with 2 more questions ill give good ratings please!
Answers
Answer:
3, - 6 )
Step-by-step explanation:
Since the dilatation is centred at the origin , multiply the original coordinates by the scale factor, that is
(6, - 12 ) → ([tex]\frac{1}{2}[/tex] × 6, [tex]\frac{1}{2}[/tex] × - 12 ) → (3, - 6 )
I need help cause I don’t understand the concept
Answers
Answer:
make a graph based on the equation
Step-by-step explanation:
then match the graph you made to the answer choices
the expression y-x equals 0.7 if x and y have certain values. evaluate the following expressions with the same values of x and y
Answers
Answer:
3.5
Step-by-step explanation:
Given: x-y=0.7
Finding: 5(x-y)
So we have that x-y=0.7 meaning that for this equation we only need to multiply 5×0.7 which is 3.5
The answer to the expression is 3.5
How to solve the expression?In algebra, we are taught that the two rules for solving equations are the addition rule and the multiplication/division rule.
Given:
x - y = 0.7
Finding: 5(x - y)
So we have that x - y = 0.7 meaning that for this equation we only need to multiply 5×0.7 which is 3.5
What is a math expression example?An example of a mathematical expression with a variable is 2x + 3. All variables ought to have a coefficient, a variety that is multiplied by means of the variable. within the expression 2x + three, the coefficient of x is the variety 2, and its method 2 instances x plus three.
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5. Kalen is trying to find the average of three measurements. The measurements are 13.8, 15.64, and 22.51. He adds the
numbers and divides by three. The result on the calculator shows 17.3167. Where should Kalen round? Explain.
Answers
Answer:
if rounding by tenths 17.3 i’d rounding by hundredths 17.31 and thousandths 17.316
Step-by-step explanation:
most teachers say but off is thousandths be careful look what it’s asking for exactly
Use the drawing tool(s) to form the correct answers on the provided graph.
In the given equation, yis a function of x.
Graph the function in the coordinate plane. Use the Mark Feature tool to indicate the x- and y-intercepts of the function.
Drawing Tools
Click on a tool to begin drawing
(90points)
Answers
Can you please send image clearly ?
Answer:
y = 2/3x + 4
Step-by-step explanation:
Use the discriminant to determine the number of real solutions to the quadratic equation. −100a2+20a−1=0 What is the number of real solutions? Select the correct answer below: 0 1 2
Answers
Answer:
1 real solution
Step-by-step explanation:
20² - 4 (-100) (-1)
400 - 400
0
When the discriminant is 0, there is one real solution.
Answer:
1 real solution
Step-by-step explanation:
20² - 4 (-100) (-1)
400 - 400
0
Solve for y: 3y + 6 = -45
Answers
Answer:
Step-by-step explanation:
solution :
y = -17
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*y+6-(-45)=0
Step by step solution :
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
3y + 51 = 3 • (y + 17)
Equation at the end of step 1 :
Step 2 :
Equations which are never true :
2.1 Solve : 3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
2.2 Solve : y+17 = 0
Subtract 17 from both sides of the equation :
y = -17
solution was found :
y = -17
M is directly proportional to r3
When r = 4, M = 160
a) Work out the value of M when r = 2.
Answers
Answer:
M = 20
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition when r = 4, M = 160, that is
160 = k × 4³ = 64k (divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of proportion
When r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
Answer:
M<varies>r³
M=kr³(k= constant)
when M=160,r=4
160=k(4)³
160=64k
k=2.5
therefore,M=2.5r³
when r=2
M=2.5r³
M=2.5(2)³
M=2.5(8)
M=20
Which phrase describes a model in science?
a structure that is always built to be an exact copy of an object
a structure that is used to represent a complex system
several structures that always represent different things
something that is unique and does not imitate an object
Answers
The correct answer is B. A structure that is used to represent a complex system
Explanation:
A scientific model is a structure or set of concepts that aim at representing a natural phenomenon or system. This means a scientific model is not created to be an exact copy of the system but rather to act as a representation, which helps scientists to explain or understand the functions and elements of a system. For example, by creating a model of a specific ecosystem, scientists can better understand the interactions between living organisms in the ecosystem, even though the model is not an exact model of the real ecosystem. According to this, a model in science is "A structure that is used to represent a complex system"
Answer:
B. a structure that is used to represent a complex system
Step-by-step explanation:
just did the quiz on ed
Is there a way to find figure out a function with just the X & Y intercepts. I know there are convertors to find the X & Y intercepts using a function that you'd already have, but I need to do the opposite.
Basically I need to find a function based off Inputs & Outputs. (If that makes sense).
Answers
Answer:
Step-by-step explanation:
yes, since that are 2 points:
y-int is (0, y)
x-int is (x, 0)
since you need only two points for a function with no restrictions, we can use y and x intercepts as points
Can some text me and help me with all my e2020
Will be Marked brainliest and extra points
A. Yes
B. No do it your self
Answers
Answer:
idk what an e2020 is ....... education2020?????? and i cant give out my number bc ppl can see here on brainly
find the minimum maximum and domain and range of the functions
h(x) = -x² + 4x - 2
Answers
Domain (-infinity,infinity)
Min(?
max(2,2)
Tommy tosses a penny 100 times. He finds that when he tossed the penny it landed heads 38 times. Tommy thinks he tossed the penny the wrong way.
is this theoretical or experimental
any why?
Answers
Answer:
Experimental
Step-by-step explanation:
It is not a theory he actually tossed the penny
PLEASE HELP! ILL GIVE WHOEVER ANSWERS BRANLIEST!
Question 1). Mrs. Cruz randomly surveyed 25 of her 125 students about their pets. Her survey indicated that 14 students have a dog, 7 students have a cat, 2 students have another kind of pet, and 8 students have no pet. (Note that some students have more than one pet). What is Mrs. Cruz’s best estimate of the total number of her students who have a dog? Justify your answer.
Answers
Answer: 70 I’m almost certain
Step-by-step explanation: 14 out of the 25 kids have a dog now if you were to have 125 kids which if 5 times the first 25 kids it would be 14x5 which is 70
I’m also stuck on this .
Answers
Answer:
It's given that AB = AC and BN = NC. Also, AN = NA because of the reflexive property. So the answer to the blank is congruent. (This is because of the SSS principle.)
Answer:
bardikikinouko is the answer
Step-by-step explanation:
You are a male who has a high school diploma. You plan to attend collage and earn a bachelors degree. When you graduate from college you get a job paying $40,780/yr. how much less areyou earning per year than median?
Answers
Answer: I think it’s 20,390
Step-by-step explanation:
Answer: 11,272
Step-by-step explanation: there are 52 weeks in a year multiply that by median wage, which is 1001. Then minus 40,780.
Solve |2x + 6|<16
A {x|-11
B {x<-11 or x>5}
C {x|-5
Answers
Eric throws a biased coin 10 times. He gets 3 tails. Sue throw the same coin 50 times. She gets 20 tails. Aadi is going to throw the coin once.
1. Which one of the following statements is, cotlrrect about the probability of Aadi getting Tails?
A. Sue's estimate is best because she throws it 50 times.
B. Sue's estimate is best because she gets more Tails.
C. Sue's estimate is best because she throws it more times than Eric
2. Use Eric's and Sue's results to work out an estimate for the probability that Aadi will get Tails. Write out your fraction in the form a/b
P. S WILL MARKS AS BRAINIEST AND THANK IF YOU ANSWER DECENTLY
Answers
Answer:
(1) The correct option is (A).
(2) The probability that Aadi will get Tails is [tex]\frac{2}{5}[/tex].
Step-by-step explanation:
It is provided that:
Eric throws a biased coin 10 times. He gets 3 tails.Sue throw the same coin 50 times. She gets 20 tails.The probability of tail in both cases is:
[tex]P(\text{Tail})=\frac{3}{10}[/tex] [tex]P(\text{Tail})=\frac{20}{50}=\frac{2}{5}[/tex](1)
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
In this case we need to compute the proportion of tails.
Then according to the Central limit theorem, Sue's estimate is best because she throws it n = 50 > 30 times.
Thus, the correct option is (A).
(2)
As explained in the first part that Sue's estimate is best for getting a tail, the probability that Aadi will get Tails when he tosses the coin once is:
[tex]P(\text{Tail})=\frac{20}{50}=\frac{2}{5}[/tex]
Thus, the probability that Aadi will get Tails is [tex]\frac{2}{5}[/tex].
Answer:
Answer is C
Step-by-step explanation:
The more you throw the coin the more reliable the test becomes, therefore C is most definitely the correct answer :)
Please answer fast, dhehdhhd
Answers
I believe the answer is 142 degrees.
38 degrees and 7 are adjacent, meaning adding them up will get you 180 degrees. 180-38=142, so 7 is 142.
Number 7 and 5 are corresponding, so they are equal.
This means that 5 is 142 degrees.
(I think)
10) Two number cubes are rolled and the results are added. (There are 36 possible
outcomes.) What is the probability the sum is equal to 2?
Answers
Answer:
2.7%
Step-by-step explanation:
The first thing to take into account, how could the sum be and the only way is that in each numerical cube, get a 1, because the other option is 2+ 0, but it is assumed that both cubes are numerical and on each side there are number.
Therefore, the probability would be that in each die 1 appears, they tell us that there are 36 possible results in the two dice and this would be 1 of those 36 results, which means that the probability would be:
1/36 = 0.027
What 2.7% means is the probability
PLEASE HELP!! 25 POINTS
Answers
Answer:
1. f(x) and g(x)
2. g(x)
3. All
4. F(x) and H(x)
Step-by-step explanation:
graph them
A triangle on a coordinate plane is translated according to the rule T-8,4(x, y). Which is another way to write this rule?
A (x,y) - (x + 4, y - 8)
B (x,y) - (x - 4, y - 8)
C (x, y) - (x - 8, y + 4)
D (x,y) - (x + 8, y - 4)
Answers
Answer:
CStep-by-step explanation:
(x, y) → (x – 8, y + 4)A triangle on a coordinate plane translated according to the rule [tex]T_{-8,4}(x,y)[/tex]can also be written as [tex](x,y)[/tex] → [tex](x-8,y+4)[/tex] according to the translation rule.
What is translation rule ?According to translation rule [tex]T_{a,b}(x,y)[/tex] tells that translation of a point (x,y)
by (a,b) is given by [tex](x,y)[/tex]→[tex](x+a,y+b)[/tex].
How to use translation rule to find the answer?Given that [tex]T_{-8,4}(x,y)[/tex], a=-8 and b=4
Putting in the values given in the question to the translation rule we get
[tex](x,y)[/tex]→[tex](x+(-8),y+(4))[/tex]
[tex](x,y)[/tex]→[tex](x-8,y+4)[/tex]
Hence we get triangle on a coordinate plane translated according to the rule [tex]T_{-8,4}(x,y)[/tex]can also be written as [tex](x,y)[/tex] → [tex](x-8,y+4)[/tex]. Answer C is correct.
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Brian has to send 13 parcels it will be cheaper to send the parcels by the express service than by the rapid service.
Answers
Answer: £ 260.78
Step-by-step explanation:
A teacher purchased a 1-foot long sub to share amongst a group of 4 students but decided to eat 1/3 of it. after dividing the rest of the sub into equal parts how much of a sub will each student receive please an answer and a question im confused
Answers
Answer:
2 inches
Step-by-step explanation:
Answer:
2 inches each
Step-by-step explanation:
1 foot = 12 inches
1/3 of 12 =4
left over :12 - 4 = 8
8/4 =2
Which inequality is true?
5(−2)>10
3(13)<39
11+(−3)<9
5 + 12>18
Answers
Answer: 11 + (-3) < 9 is true.
Step-by-step explanation:
When there is a + in front of an expression in parentheses , the expression remains the same.
11 - 3 < 9
Now subtract.
8 < 9
I know its not 3 or 4, is it 1 or 2 pls explain how u got it ASAP i always give brainliests and thx i am really stumped
Answers
Solve for y: 4y + 4 = -8
Answers
Answer: YOUR ANSWER IS -3
Step-by-step explanation:
4y + 4 = -8
-4 -4
___________
4y = -12
Divide -12 by 4
Y = -3
shoulders knees and toes ♀️✨♀️♀️wait i forgot the head,, thats what you'll get later✨♀️♀️♀️✨✨♀️♀️✨✨
sorry i just needed to put something here
Answers
Answer:
C
Step-by-step explanation:
-3x - 2 ≥ 7
-3x ≥ 9
x ≤ -3
Answer:
c
Step-by-step explanation:
-3x-2 greater than or equal to 7
-3x greater than or equal to 9
x less than or equal to -3
(flip the inequality sign if you multiply by a negative number on both sides)
c
