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deff fn [24]
3 years ago
5

1. (x + 2) < −3(x + 4) 2. −3x + 3 < 6

Mathematics
1 answer:
Leno4ka [110]3 years ago
7 0

number 1:

x>\frac{-7}{2}

number 2:

x>-1

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Complete the point slope equation of the line through (-5, 7) and (-4, 0).​
IgorLugansk [536]

For this case we have that by definition, the point-slope equation of a line is given by:

y = mx + b

Where:

m: It's the slope

b: It is the cut-off point with the y axis

We have two points:

(x_ {1}, y_ {1}): (- 5,7)\\(x_ {2}, y_ {2}): (- 4,0)

We found the slope:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} =  \frac {0-7} {- 4 - (- 5)} = \frac {-7} {-4 + 5} = \frac {-7} {1} = - 7

Thus, the equation is of the form:

y = -7x + b

We substitute one of the points and find "b":

0 = -7 (-4) + b\\0 = 28 + b\\b = -28

Finally, the equation is:

y = -7x-28

Answer:

y = -7x-28

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3 years ago
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2 years ago
A square blanket has a diagonal stripe. The diagonal stripe is 66 inches long. How long is each side of the square blanket?
user100 [1]

9514 1404 393

Answer:

  33√2 in ≈ 46.7 inches

Step-by-step explanation:

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There is an app called photo math it might help you
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Can someone explain to me how to do this?
elena55 [62]
In the slope intercept form equation of a line (y=ax+b) a represents the slope, and b represents the intercept, which is -5. Thus, we know y=ax-5. The slope can be found by creating a fraction with the change in y value on top, and the change of x value on the bottom. If we have two points (4, 1) and (0, -5) we can put this into a fraction - \frac{-5-1}{0-4}, which simplifies down to -6/-4, or 3/2. Thus the answer is f(x)=\frac{3}{2}x-5<span />
6 0
3 years ago
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