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Vikki [24]
3 years ago
6

Need help plz what is a hole

Mathematics
1 answer:
jolli1 [7]3 years ago
8 0

Answer:

Statements 1,4&5

Step-by-step explanation:

A hole is when both, numerator and denominator, of a fraction become 0 (zero).

This would happen when the numerator and denominator have a common factor.

Example:

(2x+4)/(x+2)

= [2(x+2)]/(x+2) = 2

Although the fraction can be simplified, there's a hole at x = -2.

x = -2 will not be part of the domain.

The hole is represented by an open circle.

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3 years ago
1.This circle is centered at the origin and contains the points two units away. Write the equation for this circle.
denis-greek [22]

Answer:

1. The location of the center of the given circle = The origin (0, 0)

The given points on the circumference of the circle = (1, √3), and (0, -2)

The general form of the equation of a circle, is presented as follows

(x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center of the circle

r = The radius of the circle

∴ (h, k) = (0, 0)

The radius of the given equation is the distance from the center (0, 0) to either the point (0, -2) or (1, √3)

The distance from the center (0, 0) to the point (0, -2), which are points on the same ordinate,  r = y₂ - y₁

∴ r =  0 - (-2) = 2

r = 2

The equation of the circle is therefore;

(x - 0)² + (y - 0)² = 2²

∴ x² + y² = 2²

2. When x = 1, and y = √3, we have;

(1 - 0)² + (√3 - 0)² = 1 + 3 = 4 = 2²

When x = 0, and y = -2, we have;

(0 - 0)² + ((-2) - 0)² = (-2)² = 4 = 2²

Therefore, the points shown on the circle (1, √3), and (0, -2) satisfy the equation of the circle, x² + y² = 2² and are solutions to the equation of the circle

Step-by-step explanation:

3 0
2 years ago
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