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HACTEHA [7]
2 years ago
15

What is the equation of the line that is perpendicular to 3x -6y =2 and contains the point (-2,--5)​

Mathematics
1 answer:
julsineya [31]2 years ago
5 0

Answer:

y=-2x-12

Step-by-step explanation:

first, putt 3x-6y=2 in standard form:

subtract 3x from both sides: -6y=-3x+2

divide both sides by -6 to isolate y: y=1/2x-1/3

if the other line is perpendicular to this, you must find the slope by finding the opposite reciprocal of 1/2x: -2

now we have 2 points a slope, so we use the point-slope formula: y-y1=m(x-x1)

y+2=-2(x+5)

Use the distributive property: y+2=-2x-10

subtract 2 for both sides to isolate y: y=-2x-12

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The amount of fat, in grams, in granola is proportional to the volume, in cups, of the granola as shown on the graph.
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4 cups = 18 g
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3 years ago
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A new movie opened in a local theater. On opening day, 985 people saw the movie. Each day after opening day, the number of peopl
zysi [14]

Answer:

About 3891 people saw that movie.

Step-by-step explanation:

Day 1: 985 people

Day 2: (985*8)/10 (20% gone) = 788

Day 3: (788*8)/10 (20% gone) = 630.4

Day 4: (630.4*8)/10 (20% gone) = 504.32

Day 5: (504.32*8)/10 (20% gone) = 403.456

Day 6: (403.456*8)/10 (20% gone) = 322.7648

Day 7: (322.7648*8)/10 (20% gone) = 258.21184

Adding this up:

985+788+630.4+504.32+403.456+322.7648+258.21184=

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4 0
3 years ago
Use the reference angles to find the exact value of the expression cot -11 pi/6. Do not use a calculator
laiz [17]

Answer:

\sqrt{3}

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320 million written out
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Now, the easiest way to do this is to get you calculator and take the square root of 18 to get 4.242641.  The problem wants it to be to the nearest tenth so 4.2 is your answer.  On a number line, if it is in four parts, you will plot it just before the first little line.

Hope this helps!  If you are using more small lines in you number line, comment me below and I would be happy to lead you in the right direction.

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3 years ago
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