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Yakvenalex [24]
3 years ago
6

which of the following is the equation of the line that goes through the point (-4,-1) and has a slope of -3?

Mathematics
1 answer:
wel3 years ago
5 0

Answer:

y = -3x - 11

Step-by-step explanation:

y - y1 = m(x-x1)

y - (-1) = -3(x-(-4))

y + 1 = -3(x+4)

y + 1 = -3x -12

y = -3x - 11

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Does the table show a direct proportional relationship? If so, what is the constant of proportionality?
lesantik [10]

Answer:

C. Yes, 3.5.

Step-by-step explanation:

If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality (k) is described by the following expression:

k = \frac{y}{x} (1)

Where:

x - Input.

y - Output.

If we know that (x_{1}, y_{1}) = (13, 45.5), (x_{2}, y_{2}) = (14, 49) and (x_{3}, y_{3}) = (15, 52.5), then the constants of proportionalities of each ordered pair are, respectively:

k_{1} = \frac{y_{1}}{x_{1}}

k_{1} = \frac{45.5}{13}

k_{1} = \frac{7}{2}

k_{2} = \frac{y_2}{x_2}

k_{2} = \frac{49}{14}

k_{2} = \frac{7}{2}

k_{3} = \frac{y_{3}}{x_{3}}

k_{3} = \frac{52.5}{15}

k_{3} = \frac{7}{2}

Since k_{1} = k_{2} = k_{3}, the constant of proportionality is 3.5.

8 0
3 years ago
Rotate the cracker either 90 degrees or 180 degrees and either CW or CCW around each of the three points A, B, C. When does the
almond37 [142]
I need a picture so that I could see the diagram
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3 years ago
Based on previous sales, Ron predicted sales of 80 pen sets. He actually sold 100 pen sets. Find the error and absolute error fo
bagirrra123 [75]

Answer:

A=-20 B=20

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Help me please I beg
valentina_108 [34]

Answer:

$8,500

Step-by-step explanation:

Interest = 5000 x 5 x 0.14

            = 1000 x 0.14 x 25

            = 140 x 25

            = 3500

5000 + 3500 = 8500

8 0
2 years ago
If takes 660 metres of fence to enclose a rectangular field. if one side is 30 metres less that twice the other side, find the d
aliina [53]

Answer:

210 by 120

Step-by-step explanation:

perimeter=2l+2w

length= 2w-30

width= w

2(2w-30+w) = 660

6w-60= 660

6w= 720

w=120

length= 2*120-30 = 210

6 0
3 years ago
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