The intersection of the hyperboloid of two sheets given by z2 y? x? - - 225 49 49 with the plane z = 30, is a circle in R³. The radius of the circle is Note: give your answer in surd form.

Q: 3Q: If z₁ = 1.5 cisand z₂ = 4 cis(-7) find and express it in the rectangular form.

A:

Q: Show that the given equation represents a sphere and find its center and radius x² + y2 + z? + ax +…

A: The given equation is x2+y2+z2+ax+by+cz+d=0. The general equation of a sphere with center h,k,n and…

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Q: will give u high rating thank you :) Answer this question:  1. Determine the equation of a circle…

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Q: 10. Use any method to rewrite y = – 2x? + 12x – 14 into Vertex Form. a) Identify the vertex. b) What…

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Q: What are objects in real life that exhibit a. elliptic geometry b. hyperbolic geometry

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Q: Consider the circle with equation (x+ 5)²+y² = 121. What are the coordinates of the center of the…

A: By comparing with the standard equation of circle we solve it.

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Q: Find the angle at which the circle  x2+y2 +x+y=0 and x2 +y2 + x-y=0 intersect.

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Q: Write the equation of this circle O (x + 3)² + y² = 4 O (z - 2) + y? = 4 O (z + 2)? + y? = 2 O (z –…

A: To write the equation of the circle  To select the correct option

Q: Wendy is skiing along a circular ski trail that has a radius of 2.8 km. She starts at the 3-o'clock…

A: To determine the angle swept in radians and the number of kilometers that Wendy skied.

Q: Are the points H and L collinear? U S E H.

A: Collinear means the points which lie on the same line.  From the image, we see that H and L lie on a…

Q: Center: Radius:

A: Given query is to find centre and the radius of the circle.

Q: There are exactly two values of y that make the points A = (0, 1), B = (4, – 10) and C = (-15, y)…

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Q: The points in a rectangular waterproofed room with dimensions 20 x 20 x 20 are given coordinates by…

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Q: Find the condition if the circle whose equation a x² + y² + c² = 2ax = 0 and x² + y² + c² = 2by…

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Q: (e) Find the points of intersection between the line 3x-y+1=0 and the circle (x-2)? + (y-7)2 10.

A: The passing through points of line and circle are the point which satisfy both the line and circle.