Find the point at which the line given by the parametric equations below intersects the plane.

2x+4y-3z=-48, x=10+7t, y=-10, z=7t


Mathematics

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Solve.The electrical resistance of a given length of wire is inversely proportional to the square of the diameter of the wire:  = .If a certain length of wire with a diameter of 41.759 mils has a resistance of 8.475 ohms, what is the resistance of the same length of the same composition wire with a diameter of 30.979 mils?

A. 11.285 ohms B. 7.855 ohms C. 15.399 ohms D. 16.407 ohms

Mathematics

Write a set representing the statement.The natural-number multiples of 4 greater than 11 and less than 61

A. {12, 20, ..., 60} B. {12, 16, 20, ..., 60} C. {16, 20, ..., 60} D. {11, 61}

Mathematics

Use the discriminant to determine the number of real solutions.4x2 - 12x + 9 = 0

A. One real solution B. Two real solutions C. No real solutions

Mathematics

Identify the triangle as scalene, isosceles, or equilateral.

A. Isosceles B. Equilateral C. Scalene

Mathematics