1. The set of points 5 cm from the nearest point on a circle of radius 2 cm will be a circle with a radius 5 cm larger: a circle with a radius of 7 cm.

2. The set of points 6 in from the nearest point on a line will be a cylindrical shell 12 inches in diameter centered on the line.

If AB is a line segment, then the shell will have hollow hemispherical ends of radius 6 inches about the end points.

6 0

3 years ago

Find the real solutions of the equati<br> √7x+1 - √x-5 = 6

Juliette [100K]

The solution of this equation is x = 5 and x = 9.

<h3>What is the solution?</h3>

Let us recall that what we have here is a radical equation as follows;

√7x+1 - √x-5 = 6

When we isolate we have';

√7x+1 = √x-5+6

Taking the square of both sides;

(√7x+1)^2 = (√x-5+6)^2

Hence;

7x+1 = x-5+36+12√x-5

-12√x-5 = -7x-1+x-5+36

12√x-5 = 6x-30

Raising this equation to power 2

144x-720 = 36x^2-360x+900

When we rearrange we obtain;

36x2 - 504x + 1620 = 0

Hence;

x = 5 and x = 9

Learn more about radical equation:brainly.com/question/8606917

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5 0

8 months ago