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2 years ago

Find all real numbers x that satisfy the equation (x-4)(x-8) = 12.

Mathematics

1 answer:

denis-greek [22]2 years ago

7 0

Answer:

x=10

Step-by-step explanation:

(10-4)(10-8) = 12

(6)(2) =12

12 = 12

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2 years ago

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13. Classify Each Angle Pair then find the value of X

Virty [35]

Answer:

Step-by-step explanation:

As corresponding lines are equal

16x+1 = 79

16x = 80

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2 years ago

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: