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3 years ago

2x - y = 0 x + y = 9 What’s are the coordinates to this equation?

Mathematics

1 answer:

Elena-2011 [213]3 years ago

7 0

Answer:

( 9,9)

Step-by-step explanation:

2x - y = 9

y= 9

x= 9

(x, y) = ( 9,9)

2×9-9=0×9+9=9

9=9=9

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Which statement best explains the relationship between lines FG and HJ?

murzikaleks [220]

Answer:

(D)

Step-by-step explanation:

From the figure, we have

The coordinates of the point F are: (-4,1).

The coordinates of the point G are: (0,-2)

The coordinates of the point J are: (0,4) and

The coordinates of the point H are: (-4,-2).

Now, the slope of the line FG is :

$S=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$S=\frac{-2-1}{0+4}$

$S=\frac{-3}{4}$

And, the slope of the line HJ is:

$S=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$S=\frac{-2-4}{-4-0}$

$S=\frac{3}{2}$

Now, $the slope of FG=\frac{1}{slope of HJ}$

$\frac{-3}{4}=\frac{2}{3}$

which is not possible, thus They are not perpendicular because their slopes are not negative reciprocals.

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Answer:

$-\dfrac{3}{5}$

Step-by-step explanation:

1. Find the numerator:

$\dfrac{1}{3}-\dfrac{5}{6}=\dfrac{1\cdot 2}{3\cdot 2}-\dfrac{5}{6}=\dfrac{2}{6}-\dfrac{5}{6}=\dfrac{2-5}{6}=-\dfrac{3}{6}=-\dfrac{1}{2}.$

2. Simplify the fraction:

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