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3 years ago

5

N equation of a line through (0, 2) which is perpendicular to the line y=3x+3y=3x+3 has slope

1 answer:

zhannawk [14.2K]3 years ago

7 0

Something's not quite right here. What do you mean by "N?"

I could and will make assumptions regarding what you meant. (Feel free to correct me if need be.)

Find the equation of a line through (0,2) <span>which is perpendicular to the line y=3x+3. To find the slope of this perpendicular line, take the negative reciprocal of 3 (the slope of the given line). It is -1/3.

Using the point-slope form of the equation of a straight line:

y = (-1/3)x + 2 (answer)</span>

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Mike has 21 pounds of tomatoes and 9 pounds of mixed peppers from his garden that he will use to make sals.

Grace [21]

The number of batches of salsa that can be made = x = 6 batches

The number of bat tomato sauce that can be made = y = 3 batches

Step-by-step explanation:

We are given the system of equations:

$x+5y=21\\x+y=9$

where variable x represents the number of batches of salsa that can be made and y represents the number of bat tomato sauce that can be made.

We need to solve the systems to find the values of x and y.

Let:

$x+5y=21\,\,\,eq(1)\\x+y=9\,\,\,eq(2)$

Subtract both equations:

$x+5y=21\\x+y=9\\-\,\,\,-\,\,\,\,\,\,-\\------\\4y=12\\y=\frac{12}{4}\\y=3$

So, value of y=3

Putting value of y in eq(2) and finding value of x:

$x+y=9\\x+3=9\\x=9-3\\x=6$

So, value of x=6

The number of batches of salsa that can be made = x = 6 batches

The number of bat tomato sauce that can be made = y = 3 batches

Keywords: System of equations

Learn more about system of equations at:

#learnwithBrainly

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