Mathematics
27.05.2022 22:46
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There is a safety fence around a circular pool with a gate. The gate is 150 cm wide.

There is a safety fence around a circular pool with a gate. The gate is
150 cm wide.
20 m
gate
150 cm
What is the length of the fence not
including the gate?​
Show Answers
kayvontay4
kayvontay4
4,5(63 marks)

The x intercept is (\frac{18}{5} , 0)

The y intercept is (0, -2)

Solution:

Given equation is:

-5x + 9y = -18

We have to find the y intercept and x intercept

The x-intercept is the point at which the line crosses the x-axis. At this point, the y-coordinate is zero.

The y-intercept is the point at which the line crosses the y-axis. At this point, the x-coordinate is zero

Finding x - intercept:

To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'.

Substitute y = 0 in given equation

-5x + 9(0) = -18\\\\-5x = -18\\\\x = \frac{18}{5}

\text{Thus the x - intercept is } (\frac{18}{5}, 0)

Finding y - intercept:

To find the y-intercept, plug 0 in for 'x' and solve for 'y'

Substitute x = 0 in given equation

-5(0) + 9y = -18\\\\9y = -18\\\\y = -2

Thus the y intercept is (0, -2)

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