Write an equation that represents the area of the cross section obtained when a horizontal plane cuts the slanted cone at a height of H units from its base.

Q: Find the distance between each pair of points.

A: The given line is:

Q: Given the equation x2+z2=7, write an equation for the cross section at y = −7 using x and z. Can you…

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Q: Determine the imaginary part

A: In this question, we have to find the imaginary part of the given complex number.

Q: Write the distance d between the point (3, 1) and the line y = mx + 4 in terms of m. Use a graphing…

A: We have given a point (3,1) and an equation of line y=mx+4.

Q: Find the distance from the point to the line.

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Q: Find the distance between each pair of points 3)

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Q: State the coordinates of the image of point B after a dilation with a scale factor of 2 and centered…

A: Use the coordinate rule for dilation with k=2(scalar factor). A',B',C' are the dilation point.

Q: Find the inclination (in radians and degrees) of the line with slope m: m = square root of negative…

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Q: Find the point on the line 3x – 4y –1 = 0 which are at a distance of 5 units from the point (3,2)

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Q: Find the distance between the points

A: Given,          The two points are A2,8 and B-8,2.

Q: Find the angle between the curves 4. у%3Dх and у%3х° +х-8

A: First find the intersection point of the curve then calculate slope of tangents of both the curve at…

Q: Find the standard form of the equation of the circle. Center (4, - 2) and tangent to the line x = 1

A: Center (4,- 2) and tangent to the line x=1we have to find equation of circle

Q: 35. Write an equation of the circle that is tangent to both axes with radius V7 and center in…

A: Let a circle be tangent to the x-axis at point (x,0). Then the line perpendicular to x-axis at this…

Q: Solve for x. Assume that lines which appear to be diameters are diameters. 114x +1 O d

A: Any two angle that form a straight line are supplementary angles.

Q: Write the standard equation for the circle of radius 2v3 and centered at point (-2, 4)

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Q: What equation can Pam use to determine x, then distance up the tree trunk from the fork at which she…

A: The length of the wooden platform is BC=10 in. The height of AB=x units. An angle m∠A=52∘

Q: The figure above shows a right triangle with dimensions in centimeters. If 0 = 41°, what is the…

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Q: Find the coordinates of the points that are 13 units away from the origin and have an x-coordinate…

A: Solution: Find the coordinates of the points that are 13 units away from the origin and have an…

Q: Reflect across the y-axis. R

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Q: Describe how to locate the foci for x2/25 + y2/16 = 1.

A: We have to describe how to locate the foci forx225+y216=1

Q: Graph the dilated image of Quadrilateral ABCD using a scale factor of ½ and center of dilation (1,…

A: We measure the distance between center to all points and scale by 2 to get the dilation…

Q: Describe the cross section of the figure to the right.

A: Observe that the plane is parallel  to the triangular face of the prism. The cross section will be…

Q: 3) Write the equation of a circle that models the shock wave ( seismic wave) from an earthquake, 30…

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Q: Find the slope of the circle x2 + y2 = 25 at the point (3, -4).

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Q: Find the net change in the height of the ball as the horizontal distance changes from 10 to 100 feet

A: We have given  Initial horizontal distance h1=10 ft Final horizontal distance h2=100 ft Net change…

Q: Find the midpoint between the two points A

A: To calculate the mid point,   X coordinate of the mid point is the half of sum of x coordinates of…

Q: Graph the equations and shade the area of the region between the curves. y = 20 − x, y = sqrtx, and…

A: The region is bounded by the curves y=20-x, y=x,y=1

Q: State the coordinates of the image of point B after a dilation with a scale factor of 2 and centered…

A: Mark the coordinates of the triangle.

Q: Write the equation for the above surface.

A: The surface represents the cylinder; with circle in the xz-plane. x2 + z2 = 1  (radius of the circle…

Q: Drag the points to create a copy of the original figure with a scale factor of 3.

A: The figures can be changed using the transformation. There are 4 types of transformations. The…

Q: The center of a circle lies on the line y= 6x +2 and is tangent to the x-axis at (-2,0). What is the…

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Q: Find a linear speed of a tip of minute hand if a length of the minute hand is 28 cm long. Hint: W =-…

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Q: Find the length of the slant height l of a right circular cone with r = 4 cm and h = 6 cm.

A: The slant height l for a right circular cone is calculated by using the formula given below:-l=r2+h2…

Q: The height y (in feet) of a ball thrown by a child is 1 x+2x +3 14 y 3= where a is the horizontal…

A: The height y (in feet) of a ball thrown by a child is y=-114x2+2x+3where x is the horizontal…

Q: Determine whether the following equation represents a sphere.

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Q: Reflect over the y-axis.

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Q: Find the area of the shaded segment of the circle. 5 m 300°

A: Area of the segment=θ360°πr2-12r2sinθ  Substitute θ=60° , r=5⇒Area of…

Q: Among all triangles in the first quadrant formed by the x-axis, the y-axis, and tangent lines to the…

A: First of all, consider function y given.Plot the graph for the function y.The triangle can be formed…

Q: Which equation correctly describes the relationship between segment lengths in the given figure?

A: Solve the following

Q: Find the distance between each pair of points 4)

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Q: 4) 3)

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Q: Write the equation in standard form for the circle passing through (0, centered at the origin. (0)

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Q: Reflect the figure across the y-axis. Which is most likely the new figure?

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Q: Graph the first-octant portion of each plane.x + y = 4

A: Consider the given plane. x+ y=4⇒y=4-x Assume some test points and make a table of values as…

Q: Find the angle between y=5x2-3 and 3xy-9x2-x

A: Given y=5x2-3 --- Eq 1 and 3xy=9x2-x      --- Eq 2We know that angle between y1=k1x+b1 and y2=k2x+b2…