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Mathematics

1 answer:

bulgar [2K]3 years ago

4 0

Answer:

its the first one

Step-by-step explanation:

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What is the distance between the points (-4, 2) and (3,-5)?

777dan777 [17]

Solution:
We are going to find the distance between points A -4; 2, B 3; -5 :
d = √ (xb - xa) 2 + (yb - ya) 2 =

= √ (3 - (-4)) 2 + (-5 - 2) 2 =

= √72 + (-7) 2 = √49 + 49 =
= √98
= 7√2 ≈ 9.899494936611665

4 0

3 years ago

In which quadrants do solutions for the inequality y ≤ 2/7x +1 exist?

viktelen [127]

All four quadrants

<h2>Explanation:</h2>

We have the following inequality:

$y \leq \frac{2}{7}x+1$

So the first step we need to perform is to plot the line:

$y = \frac{2}{7}x+1$

$If \ x=0 \\ \\ y=\frac{2}{7}(0)+1 \\ \\ y=1 \\ \\ \\ If \ y=0: \\ \\ 0=\frac{2}{7}(x)+1 \\ \\ x=-\frac{7}{2}=-3.5$

So the line passes through the points:

$(0,1) \ and \ (-3.5,0)$

To find the shaded region, let us take a point, namely, the origin and test it in the inequality:

$y \leq \frac{2}{7}x+1 \\ \\ 0\leq \frac{2}{7}(0)+1 \\ \\ 0\leq 1 \ True!$

Since this is true, then the shaded region includes this point. This is shown below and <em>as you can see the solutions exist in all four quadrants.</em>

<h2>Learn more:</h2>

Inequalities: brainly.com/question/12890742

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