A taxi driver charges a fixed rate of $2 and he charges $19.50 for a 7-mile trip

1 answer:

7 0

You will pay $2.78 per mile for a total of 7 miles you will pay $19.50, but you must remember the taxi driver charges a $2.00 fixed rate so your final total will be $21.50

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A meteorologist was accurate 90% of the time, reporting accurately for 45 days. How many days of weather did he report

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3 years ago

What is the value of x in the equation 2x+7=1

Lesechka [4]

First....we need to do inverse operation

Subtract 7 from both sides.

2x+7=1
-7 -7

2x=-6

Now, we need to divide 2 by both sides to isolate x.

2x=-6
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Factoring Polynomials: 6-13a+6a^2

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar.

Allushta [10]

Answer:

The y-intercept of AB is y=4/3, the x-coordinate of the poit C is 4, the equation of the line that goes through BC is $6x-11=y$

Step-by-step explanation:

To find the y-intercept of AB we first have to find the equation of the line that goes through this segment.

We firt compute the slope of the segement which is given by

$m_1 = \dfrac{y_B - y_A}{x_B - x_A}= \dfrac{1-(-1)}{2-14} =\dfrac{-1}{6}$

Using this we can compute the equation of the line through AB using the point B=(2,1) and the formula

$\dfrac{-1}{6}=\dfrac{1-y}{2-x}$

we solve the last equation for $y$ and so we get

$y=\dfrac{-x}{6}+\dfrac{4}{3}$

The y-intercept of AB is the point in the line with x-coordinate equals to 0. Hence, the y-intercept is

$y(0) = \frac{-0}{6}+\frac{4}{3}=\frac{4}{3}$

Now, since the segments AB and BC are perpendicular, the slope of the line that goes through the segment BC is

$m_2 = -\dfrac{1}{m_1}=-\dfrac{1}{-\frac{1}{6}}=6$

Usinge the slope $m_2$ and knowing that the line goes through the point B=(2,1), to find the equation of the line through the segmen AC we use the following formula