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NeX [460]
3 years ago
7

Write the equation of the line that passes through (2, 3) and is parallel to the line 12x – 5y = 2.

Mathematics
1 answer:
zheka24 [161]3 years ago
4 0
The first thing I'd do is put this equation into standard slope - intercept form. 

12x - 5y = 2               Subtract 12x from each side
-5y = -12x + 2            Divide each side by -5 to isolate the <em>y 
</em><em />y = 12/5(x) - 2/5    
     
 The slope for this equation is 12/5, so we just take that and plug it into the slope - intercept equation with the given points (2, 3)

y = mx + b                    Fill in the variables
3 = 12/5(2) + b             Simplify
3 = 24/5 + b                 Subtract 24/5 (or 4 4/5) from each side
-9/5 = b

Now we just fill in the correct variables (m and b) in the equation to have our final answer. 

y = 12/5x - 9/5
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Which graph best represents -5y = -6x + 15
frutty [35]

Answer: Option c.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Given the equation:

-5y = -6x + 15

Solve for "y" in order to write in Slope-Intercept form:

y = \frac{-6}{-5}x + \frac{15}{-5}\\\\y = \frac{6}{5}x -3

Now you can identify that that the slope and the y-intercept are:

m=\frac{6}{5}\\\\b=-3

A posive slope means that the the line moves upward from left to right.

With this information, you can conclude that the the graph that  best represents the given equation is the graph shown in the Option c.

3 0
3 years ago
Twelve pounds of beans are distributed equally into 8 bags to give out at the food bank how many pounds of beans are in each bag
Thepotemich [5.8K]

Answer:

1.5 lbs of beans.................

7 0
3 years ago
Read 2 more answers
In the figure, AB∥CD. Find x and y.
velikii [3]

Answer:

y=131°

x=53°

Step-by-step explanation:

∠ ABD and ∠ BDC are supplementary.

The sum of the supplementary angles =180 °

thus y-4+x=180...........i

x and 37° are complementary, that  is, they add up to 90°

Thus, x=90-37=53°

Using this value in equation 1 we obtain:

y-4°+53° =180°

y= 180°-53°+4°

y=131°

8 0
3 years ago
Read 2 more answers
Given the points (2, 2) and (-1, -7) find the slope.​
Softa [21]

Slope is change in y over the change in x.

Slope = (-7 - 2) / (-1 -2)

Slope = -9/-3

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6 0
3 years ago
Gema has 4 <br> FT of wire how much wire does she need to wrap one meter of her garden?
Dmitry [639]

Answer:

3.28 feet

Step-by-step explanation:

One meter equals to 3.28 feet.

The question isn't exactly clear what Gema wants to use her wire for, because "wrap one meter" isn't correct.

You wrap something around something else...  and you can't wrap something around a meter.  You can wrap around a square meter by doing the perimeter... but then you'd need more than meter to do the perimeter of a square meter (the perimeter can be around 4 meters).

So, assuming she has a length of 1 meter to cover, she would need 3.28 feet.

4 0
3 years ago
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