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deff fn [24]
3 years ago
15

How many quarts in a gallon

Mathematics
2 answers:
sukhopar [10]3 years ago
7 0
4 quarts are in a single gallon
sertanlavr [38]3 years ago
4 0
4 quarts are in a gallon
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Which equation represents the line that is perpendicular to graph of 4x+3y=9 and passes through (-2,3)
goldfiish [28.3K]

4y = 3x + 18

Step-by-step explanation:

NOTE THAT A line that is perpendicular to another has a negative inverse of the slope of the other line. The products of their slopes, that is, is always -1

Therefore we can begin by finding the slope of this line defined by the function 4x+3y=9

3y = -4x + 9

y = -4/3 x + 9/3

y = -4/3 x + 3

The slope of the  perpendicular line is, therefore;

¾  - this is the negative inverse of -4/3

Now that we know the slope, we need to find the y-intercept. This is where x = 0 and the line meets the y-axis;

i.e (0, y)

The other given point, where the line crosses  is (-2, 3). Remember that to get the gradient we use the formula;

Gradient = Δ y / Δ x

¾ = (3 – y) / (-2 – 0)

¾ = (3 –y) / -2  

¾ * -2 = 3 – y

-3/2 = 3 – y

-3/2 – 3 = -y

9/2 = y           ←– This is the y-intercept

Remember the function of a straight line is given;

y = mx + c (m being slope and c being y-intercept)

y = 3/4 x + 9/2

4y = 3x + 18

Learn More:

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3 years ago
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1. 3 (x + 1)2 - 3
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A is 3
h is 1
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Last month Maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. Let x re
professor190 [17]
Number of times she climbed 5-mile mountain trail = x
Number of times she climbed 10-mile trail = y
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total distance of the 10-mile mountain trail will be  = 10*y = 10y
equation  that can be used to find the number of times she hiked each trail is therefore
5x + 10y = 90
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Arnie is mixing red and yellow paints to make two different shades of orange. To make 1 cup of dark orange​ paint, he needs 7 ou
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Answer:

No conozco esta respuesta. Esta en el libro

Step-by-step explanation:

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Ben needs to buy orange juice he can buy 64 fl oz at the grocery store for $2.00 or he can buy 256 fl oz at the whole sale for $
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