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3 years ago

If a < 0 and b > 0, then the point (a, b) is in Quadrant

Mathematics

1 answer:

Archy [21]3 years ago

7 0

Answer: The answer is C) lll.

A) I.

B) II.

C) III.

D) IV.

Step-by-step explanation:

If a < 0 and b < 0, then the point (a, b) is in Quadrant

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120

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3 years ago

What is parallel to 3x-4=1

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<h2>x = a, where a is any real number</h2>

Step-by-step explanation:

$3x-4=1\qquad\text{add 4 to both sides}\\\\3x-4+4=1+4\\\\3x=5\qquad\text{divide both sides by 3}\\\\\dfrac{3x}{3}=\dfrac{5}{3}\\\\x=\dfrac{5}{3}\to\text{it's a vertical line}\\\\\text{All vertical lines are parallel to the given line.}\\\\x=a\ \text{where}\ a-any\ real\ number$

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3 years ago

A system of equations is shown below. Which of the following statements describes the graph of this system of equations in the (

ollegr [7]

The given system of equations represent a single line with positive slope. So option C is correct.

<u>SOLUTION: </u>

Given system of equations are

$\begin{array}{l}{3 y-5 x=15 \rightarrow(1)} \\\\ {6 y-10 x=30 \rightarrow(2)}\end{array}$

Now, if we observe, $(1) \times 2 \rightarrow(2)$ multiplying the $1^{st}$ equation with 2 results in $2^{nd}$ equation.

which means the two line equations represents the same line.

Now, let us find the slope of line, $\text { slope }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-3}{-5}=\frac{3}{5}=\text { positive slope }$

So, the line has a positive slope.

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3 years ago