Graph the hyperbola. x2 y2 10) 9. 1 -10 -5 10 x ***

Q: Which are the foci of the hyperbola represented by 5y² - 4x² - 80 = 0? O(-8,0) and (6.0) O (0,8) and…

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Q: Draw the parabola's axis of symmetry. 6+ 5+ 3+ 2+ 1+ -7 -65 -4 -3 -2 +>ェ 3 4 56 7 -4+ -5

A: Axis of symmetry

Q: 1. What is the vertex of the parabola y = (x + 6)² - 9? O(-6,9) (6,9) O (-6,-9) (6,-9)

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Q: 2. Circle the parabolas that are stretches of the graph y = x². а) у3 1.25х? c) y = – x? b) y = 0.25…

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Q: A line r will be tangent to a hyperbola H if the intersection between r and H consists of a single…

A: Given the equation of hyperbola    25x2-16y2=400 and the equation of a tangent line is  y=mx-1

Q: 8. Find the required information and graph the conic section: 4y? +x - 32y + 68 = 0 Classify the…

A: The given equation is 4y2+x-32y+68=0. Rewrite the above equation as follows.…

Q: 3) Fit a parabola to the data. 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 y 3.1950 3.2299 3.2532 3.2611…

A: A second-degree ee equation represents a parabola. The general equation of a parabola is y =…

Q: Identify and sketch the graph of the conic section.9x2 + 9y2 + 18x − 18y + 14 = 0

A: Given Data The equation is 9x²+9y²+18x-18y+14=0.   Arrange the equation 9x²+9y²+18x-18y+14=0 in the…

Q: Q3) Using the property of Re z and Im z to show that the hyperbola x2 – y? = 1 can be written as: z2…

A: Given that: Equation of hyperbola is-             x2-y2=1

Q: 9. Consider the equation + n+ 1 n+4 1, what must be the value of n so that the graph is hyperbola?…

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Q: Using the property of Re z and Im z to show that the hyperbola x2 - y2 = 1 can be written as: z² + (…

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Q: 4.The parabola opens O A. upward O B. forward O C. backward O D. downward

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Q: Identify and sketch the graph of the conic section.5x2 + 3y2 − 15 = 0

A: On simplification, we get Now it is in the form of

Q: Which of the following lines is an asymptote of the hyperbola (2- 1) (y+1)2 = 1? 4 9. O 2x +3y-1 = 0…

A: We will find the asymptotes of the hyperbola.Below find the solution in the image.

Q: Using the property of Re z and im z to show that the hyperbola x2 z2 + (z)² = 2 = 1 can be written…

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Q: 3 3. The hyperbola with asymptotes having the equations y = x and y x and one vertex at (2, 0) has…

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Q: 10+ 4 -9 -2 -4 -6 -8 --10+ Write the standard equation for the hyperbola graphed above. 6. 2.

A: Note -  Acc. to Bartleby guidelines we are supposed to do only one question. If you want more to be…

Q: 1.) A gateway is a parabolic shape whose vertex is 20 ft. From the ground, (0,20), and the width of…

A: Given, a gateway  is a parabolic shape whose vertex  is 20 ft. From the ground, (0, 20), and the…

Q: The Vertex and the value of 'p' of the given parabola (x – 5)² = 16(y – 6) are O Vertex = (-5, –6);…

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Q: 4. What is the axis of symmetry of the parabola y = x = 7 x= -14 y = 28 Ox=28 O x²14x+28?

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Q: 3. Find the vertex form of the parabola tnat passes through the point (-1,2) and has a vertex…

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Q: Which of the following is true about the hyperbola (y – 1)2 (* + 3)2 1 ? 4 9. O The conjugate axis…

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Q: Which of the following is true about the hyperbola (y- 1)2 (x + 3)2 =1? 4. 9.

A: given hyperbola is y-124-x+329=1

Q: A parabola is the collection of points (x, y) whose distance from (3, 4) is the same as the distance…

A: The given data: Distance of the point (x, y) from (3, 4) = Distance of the point (x, y) from the…

Q: 28. Sketch the graph of 2x + 4y + 3z 12.

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Q: 5.The axis of symmetry of the parabola is O A. X=9 O B. X=-2 O C. x=-9 O D. x=2

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Q: 5. 3,0) (2, 0) (0,-2) me, the graph of y J()is a parabola as shown Which of the following correctly…

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Q: 1. The circle, the ellipse, the hyperbola, and the parabola are categories of sections.

A: The circle, the ellipse, the hyperbola, and the parabola are categories of _____ sections.

Q: Which of the following is a vertex of hyperbola x2 - y2 – 2x – 4y - 4 = 0? a. (-2, 2) %3D b. (2, 0)…

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: Identify and sketch the graph of the conic section.16x2 + 36y2 − 64x − 36y + 73 = 0

A: We first complete the square to get the standard form

Q: 4 5 12 6 21 Identify the vertex of the parabola: Remember that the vertex is a point!

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Q: -8 -6 2P 6 8 Identify the axis of symmetry of the parabola. x = 5 x= 3 x = 6

A: We have to find the axis of symmetry of given parabola.

Q: 10. a) Find an equation for the parabola with vertex (1, 4) that passes through the point (3, 8).

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Q: What is the largest possible area of a rectangle inscribed in the region bounded by the parabola y =…

A: According to the figure, we have

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 1 –…

A: first we have to draw the sketch of y = 1-x2 and draw a rectangle beneath it From the graph we can…

Q: 8.44.) In Ax² + Cy² + Dx + Ey +F = 0, show that if A and C have the same signs, then the graph of…

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Q: 2. Find the dimensions of the rectangle of largest area that has its base of the x-axis and its…

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Q: 1. Which is the standard form of the parabola y =-}(x+1)² + 5 O y=D -a2 - 긍 + 5.5 O y = -a² + x+ 5.5…

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Q: History of math question dealing with projective geometry need help on please

A: To identify the lines corresponding to the two points at infinity of the given hyperpola

Q: I noticed that depending on the values for A and C,assuming that they are not both zero, the graph…

A: Depending on the values for A and C, assuming that they are not both zero, the graph of Ax2 + Cy2 +…

Q: The parabola y + 2y + 8x –7=0 has vertex at O (-1, –1) o (-1,1) о (1,-1) о (1,1)

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Q: Identify and sketch the graph of the conic section.x2 − 6y = 0

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Q: Using the property of Re z and Im z to show that the hyperbola x2 – y? = 1 can be written as: z² +…

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Q: 3- The parabola y= ax'+bx+c, mean that the cquation y = ax is .........

A: As this is a multiple question according to the Bartleby Answering rule, only first question is to…

Q: 29. Find the vertices of the hyperbola. (y-8)? 4 (+12)2 6. 3D1 O (-9, 8), (–15, 8) O (-10, 8), (–14,…

A: Given: (y−8)24−(x+12)29=1 Equation of hyperbola opening upward and downward in standard form follows…

Q: 1. The vertex of the parabola y – 5 = (x + 8)°. A. (5,-8) В. (-5,8) С. (8,-5) D. (-8,5)

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: . Find the vertices of the hyperbola. 16x2 - 9y? = 144 %3D (0, O (0, - 3) and (0, 3) O (0, - 4) and…

A: This question is related to hyperbola, We will solve it using given information.

Q: 10. Draw the parabola with the following conditions a) A zero at (1, 0) the vertex at (3, -4) and y…

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Q: -20 -15 -10 -5 5. 10 15 20 For the graph of hyperboloid of two sheets () - A`- A'-: 1, find…

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Q: 6. Find the parabola y = ax² + bx +c passing through the points (–2, –6), (1, 6), and (3, 4).

A: Lagrange polynomials are used for polynomial interpolation. For a given set of distinct points xn…

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.