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Luda [366]
3 years ago
8

Find the slope of the line that passes through the points (3, 6) and (5, 3).

Mathematics
2 answers:
Gekata [30.6K]3 years ago
7 0

Answer:-3/2


Step-by-step explanation:

The slope is Y/X so it goes down from 6 to 3 on Y that’s -3,and it goes right 3 to 5 that’s +2 so -3/+2

FromTheMoon [43]3 years ago
3 0
The slope of the line is -3/2
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Solve by the elimination method
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There is one solution. The solution of the system is (9,-5)

Option A is correct.

Step-by-step explanation:

We need to solve the system of equations by elimination method

6x= 64+2y\\2x= -7-5y

Rearranging the equations:

6x-2y=64\,\,\,eq(1)\\2x+5y=-7\,\,\,eq(2)

Eliminating y to find value of x:

Multiply eq(1) by 5 and eq(2) by 2 and add both equations:

30x-10y=320\,\,\,\\4x+10y=-14\\--------\\34x=306\\x=\frac{306}{34}\\ x=9

So, value of x= 9

Eliminating x to find value of y:

Multiply eq(1) by 2 and eq(2) by 6 and subtract both equations:

12x-4y=128\\12x+30y=-42\\-\,\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,+\\---------\\-34y=170\\y=\frac{170}{-34}\\ y=-5

So, value of y = -5

There is one solution. The solution of the system is (9,-5)

Option A is correct.

Keywords: Solving system of equations

Learn more about Solving system of equations at:

  • brainly.com/question/13168205
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5 0
3 years ago
Look at pic and answer plzzzzz its a DLA (7th)
Zigmanuir [339]

Answer: 187.96 cm

Step-by-step explanation: First you need to convert all of the units into centimeters. To do this you need to convert the 6 feet into inches. Since there are 12 inches in a foot, 6 feet is equal to 72 inches. Next add the 2 inches to 72, and now this means Tyson is 74 inches tall. Lastly convert the inches into centimeters by multiplying 74 by 2.54, which equals 187.96.

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The mean is 102 and the standard deviation is 2.

The sample mean is equal to the population mean; the sample standard deviation is equal to

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3 years ago
A rope is 12 meters long. You cut off 15/6 of the rope. How much is left?
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Answer:

4.8

Step-by-step explanation:

15/6 is 2.5 whitch when divided by 12 is 4.8 so 12 divided by 2.5 is 4.8

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3 years ago
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A city averages 14 hours of daylight in June (the longest days) and 10 in December (the shortest days). Assume that the number o
UNO [17]

The equation is given as

y = 12 sin (6t - \pi /2) + 2

<h3>The Amplitude </h3>

The Amplitude can be calculated as

amplitude = \frac{max + min}{2}\\ amplitude = \frac{10+14}{2} = 12

<h3>The Vertical Shift</h3>

The vertical shift is the average difference between the maximum and minimum.

Vertical Shift = \frac{Max - Min}{2} = \frac{14-10}{2} = 2

For b value

The Time Period will be twice the distance between max and min.

time period = \frac{2\pi }{b} \\time period = 2 * distance between max and min\\b = \frac{2\pi }{2}*\frac{1}{b} = \frac{\pi }{6}

<h3>The Period</h3>

The period is calculated as

T = \frac{2\pi }{b} \\T = \frac{2\pi }{\frac{\pi }{b} } = 12

The equation is given as

y = 12 sin (6t - \pi /2) + 2

Learn more on time period and amplitude here;

brainly.com/question/15531840

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