Hyperbolic Mirror A hyperbolic mirror (used in some telescopes) has the property that a light ray directed at the focus will be reflected to the other focus. The mirror in the figure has the equationx 2 36 − y 2 64 = 1.

Q: Consider the equation: x + 1la = 0 A) First, use the "completing the square" process to write this…

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Q: Change the Cartesian equation x²+ 3x + y²= 6 to potur equation (an equation that only contains r and…

A: we know that,  For converting cartesian equation into the polar equation, we will put x= rcosθ, y=…

Q: Using graphing, what is the approximate solution of this equation? 3x2 6x 4 = | I + 3 +1 O A. I 0.33…

A: you have to just plot y=-2x+3+1 and y=3x2-6x-4 then intersection point is the solution of the given…

Q: Solving x+ 8c + 3 = 0 by completing the square method produces an equation of the form (x + h)? = k.…

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Q: The surface area of a sphere with the radius r  is given by the equation shown. A=4πr2 What is the…

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Q: calculate (see image), where D is the disc with it's center out of the origin. The equation of the…

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Q: 1. Ben dives froma 10-foot platform. The equation h = -16P +271 + 10 models the dive. How long will…

A: According to guidelines of bartleby we can only solve one question at a time. Kindly upload another…

Q: Solve the equation z i. Give your answers in Cartesian form

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Q: Find numbers x and y satisfying the equation 3x + y = 12 suchthat the product of x and y is as large…

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Q: Test the equation x2 + y3 = 2x4for symmetry with respectto the x-axis, the y-axis, and the origin.

A: We have the given equation as x2+y3=2x4 The graph of a curve is said to be symmetric about x-axis if…

Q: The cost of a keyboard (k) is $40 less than the cost of a printer (p). Which of these equations…

A: We have to find equation which relate k and P.

Q: The model represents the equation 4x + 4 12. %3D What value of x makes the equation true? A 1 B 2 C…

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Q: The diagram shows a rectangle ABCD. The point A is (2, 14), B is (-2, 8) and C lies on the x axis. y…

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Q: Solve %3D The solution is x = %3D

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Q: Solve the right triangle. A 60° C Write your answers in simplified, rationalized form. D ВС - AC =…

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Q: う V- U. +2ax Solve for %3D

A: vf2=v02+2ax Here vf is the final velocity, v0 is the initial velocity a is the acceleration, x is…

Q: 2) The pre-image in red has been transformed to the image in green. Write the equation of both…

A: equation for the green curve i (r) -x-6           x⩽-3xx⩾-3 equation for red curvef (x)= x-1…

Q: Consider the equation: x + 11a = 0 A) First, use the "completing the square" process to write this…

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Q: 3+x = + 3x 1) Rewrite the equation by completing the square. Your equation should look like (I +c)²…

A: Solution:Given3+x=x2+3xTo rewrite the equation by completing square .

Q: equations

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Q: 2x +1 Solve the equation 4ª -x+2 = 6**. Leave your answer in exact form. %3D

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Q: Solve the equation. Verify your results using a graphing utility. I 3x - 1 I = 2

A: To solve the equation: |3x-1|=2 Solution: |3x-1|=2 On simplifying further we get: ⇒|3x-1|=2⇒3x-1=±2…

Q: a x = bcd x The resulting equation is: d%3D

A: Given the equation

Q: Solve for x. 2* = 32 %3D The solution is x =

A: The given equation is 2x=32.

Q: 2) The pre-image In red has been transformed to the Image in green. Write the equation of both…

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Q: Solve the problem. Find the values of a, b, and c such that the graph of the quadratic equation y =…

A: Please refer the attached image for complete solution.

Q: Howard has a scale model of the Statue of Liberty. • The model is 15 inches tall. • The scale of the…

A: Option (A) is correct

Q: Consider the equation: a – 18x + 72 = 0 A) First, use the "completing the square" process to write…

A: To find the equation by completing the square and then solve for x

Q: Solve the right triangle. 382 45° Y Write your answers in simplified, rationalized form. Do not…

A: We have to find out the values. when XY=382 and m∠Y=45∘ Given triangle is right triangle so m∠Z=90∘…

Q: 1. Ben dives from a 10-foot platform. The equation h = -16P +271 + 10 models the dive. How long will…

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Q: he pre-image in red has been transformed to the imag a)

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Q: the equation. 5)2x-3y 6 %3D

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 2) The pre-image in red has been transformed to the image in green. Write the equation of both…

A: To find the equation of red and green images in parts a) and b)

Q: Barometric Pressure Halley’s Law states that the barometric pressure (in inches of mercury) at an…

A: Balloonist altitude : p(x) = 29.92e-0.2x We need to find the he balloonist’s altitude when he…

Q: 13. The population, P, of a town, is modelled by the equation P = 6x + 7x+ 750, where x is the…

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Q: Distance (miles) Asteroid 2012 DA14 y 2. What is the equation of the given figure? (5, 24) 24 Y= mx…

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Q: The equation of circle Lis given as (a+9)2 + (y)² = 81. The area of circle L is: %3D 9T square units…

A: Equation of the circle is given by: (x-h)2+(y-k)2 = r2(h,k)→center of the circle.r→radius of the…

Q: %3D Find the coordinates of the hole, if any, of h(x) = x²-2x'

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Q: Solving x² + 4x + 5 = 0 by completing the square method produces an equation of the form (x + h)² =…

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Q: Solve the equation. Verify your results using a graphing utility. I 2x + 3 I = 5

A: 2x+3=5

Q: Consider the equation: x + 14x + 48 = 0 A) First, use the "completing the square" process to write…

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Q: 2) The pre-image in red has been transformed to the image in green. Write the equation of both…

A: Let's find.

Q: Solving z+ 6x +6 = 0 by completing the square method produces an equation of the form (z + h) = k.…

A: According to the problem, we have

Q: Solve the cubic equation. 7) x3 +64 = 0 A) {-4, 2 ± 2i/5) C) {-4, -2 ±2i} B) {-4, -2 ± 2i16} D) {-4,…

A: Given cubic equation is,

Q: Solve the equation 4 6 3x + 4 = -38 %3D The solutions are:

A: Given 4-63x+4=-38⇒-6|3x+4|=-38-4⇒-6|3x+4|=-42⇒|3x+4|=7We know either 3x+4=7 or 3x+4=-7

Q: Example: write an equation for linc passes throL 8x – 13y = 13 %3D -

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Q: 15) William uses the equation.x2 + y2 = 36 to represent the shape of a stone patio. (a) Graph the…

A: An equation of the form (x-h)2+(y-k)2=r2 is called equation of circle where (h,k) is center of the…

Q: Direction: Solve and graph 3. -2x – 4y 2 10

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Q: Direction: Solve and graph 1. 10x – 8y 2 24

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Q: Work for #4: The arch of a bridge can be modeled by y = -0.002x² + 1.06x, where x is the distance…

A: given equation of an arch of bridgey=-0.002x2+1.02xand equation of road y=52