What is the distance between (3, -8) and (0, -2)

2 answers:

7 0

You would use the distance formula sqrt( (x2 - x1)^2 + (y2 - y1)^2)
sqrt( (0-3)^2 + (-2--8)^2)
sqrt( (-3)^2 + (6)^2 )
sqrt( 9 + 36 )
sqrt(45)
simplified 3sqrt5
decimal 6.71

faltersainse [42]3 years ago

3 0

The answer is 3√5. You use the distance formula: √((x2-x1)^2+(y2-y1)^2)

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a hiking path is represented by the equation y=3/8x on a coordinate map. The county would like to create a parallel path for bik

stepladder [879]

Answer:

The equation of the bike path on a coordinate map is represented by $y = \frac{3}{8}\cdot x +1$ .

Step-by-step explanation:

From Analytical Geometry, we know that resultant parallel line is a translated version of parent line. Two lines are parallel to each other when they share the same slope. The resultant line can be construted from slope-point form:

$y-y_{o} = m_{\parallel}\cdot (x-x_{o})$

Where:

$x_{o}$ , $y_{o}$ - Components of known point, dimensionless.

$m_{\parallel}$ - Slope of the parallel line, dimensionless.

In addition, a line has also this form:

$y = m\cdot x + b$

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$m$ - Slope, dimensionless.

$b$ - y-Intercept, dimensionless.

Given that parent function is $y = \frac{3}{8}\cdot x$ , the slope of the resulting line is $m_{\parallel} = \frac{3}{8}$ . Now, if $x_{o} = 16$ and $y_{o} = 7$ , we obtain the equation of the line: