3 years ago

Sketch the graph of the inequality. 9. 7y − 2x + 3 < 17

1 answer:

5 0

$7y-2x+3 < 17\ \ \ \ |-3\\\\7y-2x < 14\ \ \ \ |+2x\\\\7y < 2x+14\ \ \ \ |:7\\\\y < \dfrac{2}{7}x+2\\\\y=\dfrac{2}{7}x+2\\\\for\ x=0\to y=\dfrac{2}{7}(0)+2=2\to(0,\ 2)\\\\for\ x=-7\to y=\dfrac{2}{7}(-7)+2=0\to(-7,\ 0)$

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Which of the following is the equation for the graph shown?

masha68 [24]

The equation of the circle shown is:

$x^2 + y^2 = 100$

<h3>What is the equation of a circle?</h3>

The equation of a circle of center $(x_0, y_0)$ and radius r is given by:

$(x - x_0)^2 + (y - y_0)^2 = r^2$

From the graph, it can be seen that the center of the circle is (0,0), thus $(x_0, y_0) = (0,0)$ and the radius is of r = 10, hence the equation is: