A cross section of the parabolic mirror in a car headlight is y = 12x. Where should the bulb be placed? Express numbers as integers or fractions in simplest form. The bulb should be placed unit(s) (Choose one) v the vertex.

Q: The red dashed line y = 3x + 4 and the blue solid line are parallel. (The scales on the axes may not…

A: Solution: The objective is to find the equation of parallel line and the coordinates of point P

Q: The question is in the picture below.

A: Shortest distance

Q: For a project in her Geometry class, Morgan uses a mirror on the ground to measure the height of her…

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Q: Find the point P on the parabola y = x closest to the point (57, 0). (х, у) y y = x? P 57

A: Given parabola y=x2 The distance between two points is found by d=x2-x12+y2-y12 let a,a2 be the…

Q: A triangle monument base built by the Pythagoreans once resided on the spot where Wingbolt Casino…

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Q: Find the x-intercept(s) and the coordinates of the vertex for the parabola y=x´ +2x-3. If there is…

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Q: the height of an oak tree out in front of his castle. He places a mirror on the ground between…

A: Given query is to find the height of the three.

Q: The quadrilateral shown below is dilated by a scale factor of about the point (4, -3) then reflected…

A: Topic- scaling and dilation

Q: 6. y = x + 6x + 4 Axis of Symmetry: Vertex: Sketch:

A: Consider the equation: y=x2+6x+4 Compare the given equation with standard equation, y=ax2+bx+cAfter…

Q: A circle that is centered at the origin contains the point (y83, V17). Solve for the equation of the…

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Q: The straight line EB cuts the parabola y = 2x2 - 3z - 2 at E and B and is parallel to y + r 0 F A 0…

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Q: Quadratic: y=" fincl Hhe 2irent graph and Parent dH ributes

A: Given that y=x2 Parent functions are the simplest form of functions.  The parent graph of the given…

Q: E. Explain what a second-degree equation in tow variables, x and y, is, and how you can ell whether…

A: Please look into the next step for details

Q: Determine how they can calculate the y-coordinate of the point P. (No Need to calculate at this…

A:

Q: - y = x-4 Axis of Symmetry: Vertex: Sketch:

A: Given , y=x2-4 we have to find a) axis of symmetry  and b) vertex

Q: 3x2 − 6x − 4y + 8 = 0 identify the standard form, vertex, focus, ends of latus rectum, directrix;

A: the solution is following.

Q: The trunk of a palm tree has cylindrical tubes that carry water. Each tube is 0.0003 meters wide.…

A: width of tube = 0.0003 meters diameter fo the palm trunk= 0.5meters

Q: Find the point P on the parabola y = x² closest to the point (57, 0). (x, y) = y y = x? P 57

A: Given that, the function y = x2 To find the closest point P to the point (57,0) Let (x, x2) be the…

Q: Suppose (P, Q) is the point on the graph of y=Vx closest to (1, 0). What is the value of P+ Q?…

A: Shortest distance

Q: 3. Summarize the possible ways the following figures could intersect: a. two lines b. a line and a…

A: We have to summarize  the possible ways that following figures could intersects. a) two lines b) a…

Q: 10. Find the center and radius of the circle x + 4x + y? – 2y – 4 = 0. Graph the circle.

A:

Q: Find the x- and y-coordinates of the point C. The coordinates of C are]. Type an ordered pair.) 4-…

A: By the graph Point C=(2,1) I.e., x- coordinate is 2    y- coordinate is 1

Q: The accompanying figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse…

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Q: Janette decided to put a fence around her property. The property is in the shape of a rectangle with…

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Q: Without graphing, try to visualize the location of the point (- 92,0). Then give the location of the…

A: we try to visulize the point

Q: A window has the shape of a parabola above and a circular arc below. Find the area of the window…

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Q: The endpoints of the base of an isosceles triangle are A (-3; 5) and B (3; -1) . The equation of the…

A: Given: A isosceles triangle with A(-3, 5) and B(3, -1) and a circumscribed circle with equation…

Q: Find the point P on the parabola y = x? closest to the point (57, 0). (x, V) = ( y y =x 57

A: Let x, x2 be the point on the parabola y=x2 closest to the point 57, 0. Now the distance between x,…

Q: man holds a rope that leads a horse. The horse walks in a circular path as shown by the dashed line,…

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Q: V3 The point P = X, lies on the unit circle shown below. What is the value of 2 x in simplest form?…

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Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 25 -…

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Q: Find the point that is symmetric to the point (0, - 6) with respect to the x-axis, the y-axis, and…

A: The objective is to find the symmetric  point (0,-6) about the x-axis , y-axis and origin.

Q: lirectrix, direction of opening, min/max ntercepts of each. 8 2y2 +x+20y+51=0

A: The given parabola equation is 2y2+x+20y+51=0

Q: 6. The equation of a circle is given below. Identify the center and the rac 2 t-6x+4y- 12=0 Center:…

A: our objective is to find the centre and radius.

Q: Quarterback, Cody, throws the football in a perfect parabolic arc to a receiver 40 yards downfield.…

A: We have, y=-140x-202+16 where, x is the horizontal distance and y is the height above the ground.…

Q: 14. y = 2x- 12x + 10 Axis of Symmetry: Vertex: Sketch:

A: Given

Q: Find the points of intersection of the graphs of the equations. Sketch both graphs on the same…

A: To find the points of intersection of the two graphs: y2-4x2 =16 → 1 y - x = 4         y = 4 +x  →2…

Q: . All parabolas with x-axis as the axis and (a, 0) as focus.

A: In this question, concept of differential equation is applied. Differential Equation A differential…

Q: 3. The diagram shows a cuboid that is formed by bending a long wire of length 336 cm?. h 3x (a)…

A: Given:  The diagram shows a cuboid that is formed by bending a long wire of length 336 cm. To Find:…

Q: The point (-1,0) lies on the circle x2+y2-4x+8y+k=0 . Find the radius of the circle.

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Q: hat is the shape of the vertical cross section of this solid figure that passes through the vertex?

A: We have to identify the shape of the cross-section.

Q: Multi-Step Find the circumcenter of a triangle with the given vertices. 8. A(-7, 0), O(0, 0), B(0, –…

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Q: The point is located on the x-axis, 12 units in front of the yz-plane. Find the coordinates of the…

A: The point is located on the x-axis. Hence, y=0 and z=0. The point is located 12 units in front of…

Q: 57 Find the cartesian coordinate of the point P(r,0) = (2, ). Plot the graph

A:

Q: The base of a solid is a circle of radius 2. All cross sections that are perpendicular to the…

A: Consider the base of the solid is a circle with radius 2 and center 0,0. That is the base is the…

Q: The points of intersection of the graphs of xy = 8 and x +y = 20 are joined to form a rectangle.…

A: NOTE: Refresh your page if you can't see any equations. . the first equation is

Q: 7. y = -2x + 8x -5 Axis of Symmetry: Vertex: Sketch:

A: