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Marta_Voda [28]
4 years ago
11

Write standard form of line that is parallel to 2x + 3y= 4 and passes through the point (1, -4)

Mathematics
1 answer:
Tresset [83]4 years ago
4 0

Answer:

2x + 3y = -10

Step-by-step explanation:

First convert the line into slope intercept form to find the slope of the line.

2x + 3y = 4

3y = 4 - 2x

y = -2/3x + 4/3

The slope of the line is -2/3. Parallel lines have the same slope so the slope for a line through the point (1,-4) will be -2/3. Substitute m = -2/3 and (1,-4) into the point slope of a line.

y --4 = -\frac{2}{3}(x-1)\\y + 4 = -\frac{2}{3}(x -1)

Now convert the line into standard form by using the distributive property.

y + 4 = -\frac{2}{3}(x -1)\\y + 4 = -\frac{2}{3}x + \frac{2}{3}\\3y + 12 = -2x + 2\\2x + 3y + 12 = 2\\2x + 3y = -10

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Answer:

50% value change.

Step-by-step explanation:

A 100% increase from 10 would be 20. It's the equivalent of doing 10 times 2. We need 15 though which is half the distance in value to 10 than 20 is. Half of 100% is 50%.

Therefore, $15 is a 50% percent change from $10.

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3 years ago
You are considering purchasing either a medium or a large pizza.
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Yes it’s larger then the medium pizza. I took the test
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The class sizes of the introductory psychology courses at a college are shown below 121,134,106,93,149,130,119,128 the college a
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Center : Mean  Before the introduction of the new course, center = average(121,134,106,93,149,130,119,128) = 122.5  After the introduction of the new course, center =  average(121,134,106,93,149,130,119,128,45) = 113.9  The center has moved to the left (if plotted in a graph) because of the low intake for the new course.  Spread before introduction of the new course :  Arrange the numbers in ascending order:  (93, 106,119, 121), (128, 130,134, 149) Q1=median(93,106,119,121) = 112.5 Q3=median(128,130,134,149) = 132  Spread = Interquartile range = Q3-Q1 = 19.5  After addition of the new course,

 (45,93, 106,119,) 121, (128, 130,134, 149)
 Q1=median(45,93,106,119)=99.5
 Q3=median (128, 130,134, 149)= 132
 Spread = Interquartile range = 132-99.5 =32.5 
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3 0
3 years ago
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The regular price of a baseball hat is $14.45. If Carlos buys the baseball hat on sale for 20% off the regular price, how much c
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8 0
3 years ago
In a class room 3/10 of the students are wearing blue shirts and 3/5 are wearing white shirts there are 20 students In The class
shtirl [24]

Total number of students in the class = 36

Number of students wearing blue shirts = (1/6) * 36

                                                                = 36/6

                                                                = 6

Number of students wearing white shirts = (2/3) * 36

                                                                 = 2 * 12

                                                                 = 24

Then

Number of students not wearing blue or white shirts in the class = 36 - (6 + 24)

                                                                                                       = 36 - 30

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So 6 students in the class are wearing a shirt other than a blue or a white shirt. I hope the procedure is clear enough for you to understand.

5 0
3 years ago
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