How many solutions does the following system have? 3x+2y=1 -9x-6y=3

2 answers:

6 0

3x + 2y = 1...multiply by 3
-9x - 6y = 3
--------------
9x + 6y = 3 (result of multiplying by 3)
-9x - 6y = 3
-------------add
0 = 6 (incorrect)

no solution...these r parallel lines that never intersect

guajiro [1.7K]3 years ago

3 0

Divide second equation by -3
3x+2y=1
other equatin is
3x+2y=1
since same equation, they are same line and lines are infinite so infinite solutions is answe

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Find the length of a segment with endpoints Y(2, 8) and Z(- 2, 5) .

Andrej [43]

<em>The distance the length of a segment with endpoints Y(2, 8) and Z(-2, 5) is 5 units</em>

<h2>Explanation:</h2>

Endpoints of a Line segments are places where they end or stop. Line segments are named after their endpoints. In this case, those endpoints are Y and Z, so the line segment would be:

$\overline{YZ} \ or \ \overline{ZY}$

To find the length of this segment with endpoints Y(2, 8) and Z(-2, 5), let's use the Distance Formula:

$d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}$

$Let's \ write: \\ \\ Y(x_{1},y_{1}) \rightarrow Y(2, 8) \\ \\ Z(x_{2},y_{2}) \rightarrow (-2, 5) \\ \\ \\ Substituting: \\ \\ d=\sqrt{(-2-2))^2+(5-8)}^2 \\ \\ d=\sqrt{(-4)^2+(-3)^2} \\ \\ d=\sqrt{16+9} \\ \\ d=\sqrt{25} \\ \\ \boxed{d=5}$