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zaharov [31]
3 years ago
8

What is the slope of a line that is parallel to the line represented by the equation 3x+4y=12?

Mathematics
1 answer:
mash [69]3 years ago
8 0

Slope-intercept form is:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0)

(there is probably another way to do this, but I will be doing it this way)


Isolate the "y" in the equation

3x + 4y = 12       Subtract 3x on both sides

4y = 12 - 3x        Divide 4 on both sides

y=3-\frac{3}{4}x  or   y=-\frac{3}{4} x+3   The slope is -3/4


For lines to be parallel, they have to have the SAME slope. The given line's slope is -3/4, so the slope of the parallel line is also -\frac{3}{4}

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olchik [2.2K]

Answer:

\frac{s}{s + 3}

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3 years ago
If (x + 7) is a factor of f(x), what is the value of f(-7)?
rewona [7]

Answer:

The answer is 0.

Step-by-step explanation:

Simply plug in -7 for x as they want to see what the value of the function is when x=-7.

You can then just add -7 and 7.

7 + -7 = 0

So the answer is 0

7 0
3 years ago
Someone Please Help Quickly! Its an Easy Question
Paul [167]

Answer:

y=\frac{2}{3}x-6

Step-by-step explanation:

Use the slope-intercept form:

y=mx+b

m is the slope and b is the y-intercept. Looking at the graph, you can find the y-intercept. The y-intercept is the point where x equals 0:

b=-6

y-intercept=(0,-6)

To find the slope, take any two points from the line:

(6,-2)(3,-4)

Use the slope formula for when you have two points:

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}

The rise over run is the change in the y-axis over the change of the x-axis. Insert the appropriate values:

(6(x_{1}),-2(y_{1})\\(3(x_{2}),-4(y_{2})

\frac{-4-(-2)}{3-6}

Simplify parentheses (two negatives makes a positive):

\frac{-4+2}{3-6}

\frac{-2}{-3}

Simplify (two negatives make a positive):

m=\frac{2}{3}

The slope is \frac{2}{3} and the y-intercept is -6. Insert these into the equation:

y=\frac{2}{3}x-6

Finito.

7 0
3 years ago
Ming plays video games online. When he signed up with the game site, Ming got 200200 points. Ming earns 2020 more points for eac
larisa86 [58]

It will take 148\frac{67}{101} hours (In decimal form its 148.66336633)


500500-200200=300300

300300÷2020=148.66336633

6 0
4 years ago
Help on question 30!!
Basile [38]
The given identity tells you ...
.. (sum of numbers) * (sum of squares - product) = (sum of cubes)

Substituting the given information, you have
.. (sum of numbers) * (29 -10) = 133
Then you can divide by (29 -10) to get
.. sum of numbers = 133/19 = 7

The sum of the two numbers is 7.
3 0
3 years ago
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