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Step2247 [10]
3 years ago
9

The table shows list of walking trails in the United States. Latisha walked the KATY trail six days last week. How many miles di

d she walk in a week
Mathematics
1 answer:
Paladinen [302]3 years ago
3 0
How long is the Katy trail on your table and then multiply by 6
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Find the equation of the line that passes through the points (-5,7) and (2,3)
Olegator [25]

Answer:

y=-\frac{4}{7}x+4\frac{1}{7}

Step-by-step explanation:

So, in order to solve this problem, I started off by drawing it out. On my graph that I have attached below, I first started out by locating the points (-5,7) and (2,3). Now, this is an optional step, but I highly encourage practicing your graphing skills by solving this problem on graph paper as well. Next, I connected the two points that I just graphed. This is the line that passes through (-5,7) and (2,3).

Now, here is where the actual solving starts. If you haven't already been taught this yet, I will introduce it to you now. I am going to find the equation of this line by filling in what I know in the equation y=mx+b, where m= the slope of the line, and b= y intercept.

Slope of the line: m= \frac{y_{1} - y_{2}  }{x_{1} - x_{2}  } = \frac{7-3}{-5-2} = \frac{4}{-7}= -\frac{4}{7}

If you haven't been taught how to find the slope of a line I recommend you find out.

Substitute the slope into the equation.

y=-\frac{4}{7} x+b\\

Now, we will solve for the 'b,' or y intercept.

We already have x and y values to use: (-5,7) or (2,3). I'll use x=2 and y=3 to solve for the y intercept.

y=-\frac{4}{7} x+b\\\\3=-\frac{4}{7} *2+b\\\\3=-\frac{8}{7} +b\\b=3+\frac{8}{7} \\b=\frac{21}{7}+\frac{8}{7}=\frac{29}{7} =4\frac{1}{7} \\b=4\frac{1}{7}

Last step: substitute the slope and y intercept into y=mx+b.

y=mx+b\\y=-\frac{4}{7}x+4\frac{1}{7}

That is the answer to this problem.

I hope this helps.

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3 years ago
The blue are the two boards that you need to use.
ad-work [718]

Answer:

for what?

Step-by-step explanation:

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3 years ago
How to find the radius of a circle when given two points?
enyata [817]
With the diameter..
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2. Is the expression 2 • 4' equal to the expression 8"? Explain your answer.
liberstina [14]
Yes, this is because 2*4 equals 8
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2 years ago
A penguin walks 10 feet in 6 seconds at this speed how far does the penguin walk in 45 seconds
Bogdan [553]

Answer: 75 ft

Step-by-step explanation:

45x10 = 450

450/6=75

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