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Andrei [34K]
3 years ago
15

Which system of linear inequalities is represented by the graph?

Mathematics
1 answer:
jeka57 [31]3 years ago
6 0
First line....solid line...means there is an equal sign in the problem....it has a y int of (0,2)....it has a slope of -1/3....and it is shaded below the line...the inequality for this line is : y < = - 1/3x + 2 <== this is one of them

2nd line...dashed line...means there is no equal sign....it has a y int of (0,3)...it has a slope of 2/3...and it is shaded above the line...so the inequality for this line is : y > 2/3x + 3 <== this is ur other inequality
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7 0
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Albie wants to build a ramp from his porch to a point on the ground 4 feet away from the base of the porch. What is the length,
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What the equation parallel to y=-1/5x +7 and containing the point(-10,-3)
Agata [3.3K]

The equation of line parallel toy=-\frac{1}{5} x +7 and containing the point(-10,-3) is y=-\frac{1}{5}x-5

Step-by-step explanation:

We need to write the equation parallel to y=-\frac{1}{5} x +7 and containing the point(-10,-3)

The standard form of point slope equation is:

y=mx+b

where m is slope and b is y-intercept

Comparing the given equation  y=-\frac{1}{5} x +7 with standard form the slope is m= -1/5

Since the lines are parallel the slope of new line is m = -1/5

Now finding b (y-intercept)

Using slope m=-1/5 and point (-10,-3)

y=mx+b\\-3=-\frac{1}{5}(-10)+b\\-3=2+b\\b=-3-2\\b=-5

So, b= -5 and slope = -1/5 the equation of new line is:

y = mx+b\\y=-\frac{1}{5}x-5

So, The equation of line parallel toy=-\frac{1}{5} x +7 and containing the point(-10,-3) is y=-\frac{1}{5}x-5

Keywords: Point Slope form

Learn more about point slope form at:

  • brainly.com/question/12954015
  • brainly.com/question/1979240
  • brainly.com/question/4097107

#learnwithBrainly

7 0
3 years ago
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Ierofanga [76]
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6 0
3 years ago
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I really need help with this question, pls help!!
Marrrta [24]

Answer:

Step-by-step explanation:

Here the average rate of change would be

                  f(6) - f(1)      162 - (-8)

a. r. of c. =  ----------- = ------------------ = 154/5 = 308/10 = 30.8 or 30 8/10

                      6-1                  5                     or  30 4/5

6 0
3 years ago
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