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2 years ago

Question : Find if the coordinates given lie on the circles below: (a) Does (4,2) lie on the circle with equation

Mathematics

1 answer:

wel2 years ago

4 0

Answer:

point lies on circle

Step-by-step explanation:

Substitute the coordinates of the point into the left side of the equation and if equal to the right side then point lies on circle.

(4 - 1)² + (2 + 2)² = 3² + 4² = 9 + 16 = 25 = right side

Then point (4, 2 ) lies on the circle

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3 years ago

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den301095 [7]

Answer:

Part A)

The equation in the point-slope form is:

$y-11=\frac{4}{3}\left(x-\left(-2\right)\right)$

Part B)

The graph of the equation is attached below.

Step-by-step explanation:

Part A)

Given

The point = (-2, 11)

m = 4/3

The point-slope form of the line equation is

$y-y_1=m\left(x-x_1\right)$

Here, m is the slope and (x₁, y₁) is the point

substituting the values m = 4/3 and the point (-2, 11) in the point-slope form of the line equation

$y-y_1=m\left(x-x_1\right)$

$y-11=\frac{4}{3}\left(x-\left(-2\right)\right)$

Thus, the equation in the point-slope form is:

$y-11=\frac{4}{3}\left(x-\left(-2\right)\right)$

Part B)

As we have determined the point-slope form which passes through the point (-2, 11) and has a slope m = 4/3

The graph of the equation is attached below.

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2 years ago