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3 years ago

What is the slope of the line through point (2/3, 4/7) and (2/3, 11/7)

1 answer:

6 0

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ \frac{2}{3} &,& \frac{4}{7}~) 
% (c,d)
&&(~ \frac{2}{3} &,& \frac{11}{7}~)
\end{array}
\\\\\\
% slope = m
slope \implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{\frac{11}{7}-\frac{4}{7}}{\frac{2}{3}-\frac{2}{3}}\implies \cfrac{\frac{7}{7}}{0}\implies \cfrac{1}{0}\impliedby un de fined$

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2.1 repeating as a mixed number?

Schach [20]

Answer:

2 1/10

Step-by-step explanation:

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$2\frac{1}{10}$ "

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3 years ago

Write the equation of a line in slope-intercept form that is perpendicular to the line y = 3/5 = 1 and passes through the point

4vir4ik [10]

The slope of the line $y=\frac{3}{5} x-1$ is $m=\frac{3}{5}$ .

The line perpendicular to the above line has slope $-\frac{1}{m} =-\frac{5}{3}$

Its equation is $y=-\frac{5}{3} x+c$ . Since this line passes through, $(-9,4)$ ,

$4=-\frac{5}{3} )(-9)+c\\ c=-11$

Thus the equation of the line in slope intercept form is $y=-\frac{5}{3} x-11$

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3 years ago

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Norma-Jean [14]

Answer:

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3 years ago

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2x + 22 = 4(x + 3)<br> Please help me

Annette [7]

Answer: x=5

Step-by-step explanation:

2x+22=4(x+3)

First distribute

2x+22=4x+12

Now intractable 2x from both sides

22=2x+12

Now subtract 12 from both sides

10=2x

Now divide by 2 to get x alone

5=x

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2 years ago

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What is the answer to the problem above in the picture

lana66690 [7]

Answer: Third option.

Step-by-step explanation:

Some transformations for a function f(x) are shown below:

If $f(x)+k$ , the function is translated "k" units up

If $f(x)-k$ , the function is translated "k" units down.

If $f(x+k)$ , the function is translated "k" units left.

If $f(x-k)$ , the function is translated "k" units right.

In this case you have the following function:

$f(x)=3x+2$

And you know that the function g(x) is obtained by translating the function f(x) 5 units down and 3 units left; therefore, you can conclude that g(x) is:

$g(x)=3(x+3)-3$

Finally, simplifying, you get that this is:

$g(x)=3x+9-3\\\\g(x)=3x+6$

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3 years ago