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3 years ago

17x - y < 13 I’m slope-intercept form

Mathematics

1 answer:

stiks02 [169]3 years ago

6 0

Answer:

y > 17x - 13

Step-by-step explanation:

We want to write the inequality in slope-intercept form

The general slope intercept form is;

y = mx + b

where m is the slope and b is the y-intercept

So what we have to do to the inequality is to make y the subject

Thus, we have that;

17x -13 < y

Flipping this, we have

y > 17x-13

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Step-by-step explanation:

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We first complete the square.

y=-x^2+2x+1

y=-x^2+2x-1+1+1

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Answer:

$2\sqrt {2}$

Step-by-step explanation:

<u>Distance From a Point to a Line</u>

Given a line with an equation :

ax + by + c = 0

And the point $(x_0,y_0)$

The distance from the line to the point is given by

$\displaystyle d=\frac {|ax_{0}+by_{0}+c|}{\sqrt {a^{2}+b^{2}}}$

The triangle has a vertex at (1,-2) and the base lies on the equation

x + y = 3

Rearranging:

x + y - 3 = 0

The altitude of the triangle is the distance from the point to the line.

The values to use in the formula of the distance are: a=1, b=1, c=-3, xo=1, yo=-2:

$\displaystyle d=\frac {|1*1+1*(-2)-3|}{\sqrt {1^{2}+1^{2}}}$

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$\displaystyle d=\frac {4}{\sqrt {2}}\cdot\frac{\sqrt {2}}{\sqrt {2}}$

$\displaystyle d=2\sqrt {2}$

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Answer:

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Step-by-step explanation:

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