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defon
3 years ago
5

Find the missing length indicated​

Mathematics
2 answers:
Anna71 [15]3 years ago
6 0

Answer:

Step-by-step explanation:

192

Oduvanchick [21]3 years ago
5 0

Answer:

Step-by-step explanation:

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Complete the point-slope equation of the line through (− 2 ,6 ) ( 1 , 1 )
Anon25 [30]

Answer:

y=-5/3x+8/3

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(-2,6) and (1,1).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (-2,6), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=-2 and y1=6.

Also, let's call the second point you gave, (1,1), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=1 and y2=1.

Now, just plug the numbers into the formula for m above, like this:

m=  

1 - 6

1 - -2

or...

m=  

-5

3

or...

m=-5/3

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=-5/3x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(-2,6). When x of the line is -2, y of the line must be 6.

(1,1). When x of the line is 1, y of the line must be 1.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=-5/3x+b. b is what we want, the -5/3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (-2,6) and (1,1).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(-2,6). y=mx+b or 6=-5/3 × -2+b, or solving for b: b=6-(-5/3)(-2). b=8/3.

(1,1). y=mx+b or 1=-5/3 × 1+b, or solving for b: b=1-(-5/3)(1). b=8/3.

6 0
2 years ago
Use the distributive property to create an equivalent expression to 9x+21
Romashka-Z-Leto [24]

Answer:

9(x + 3)

Step-by-step explanation:

6 0
3 years ago
When 4x^2+7x-5 is subtracted from 9 x^2-2x+3 the result is<br><br> please help me
12345 [234]

Answer:

Are u to simplify the equation it or solve it

6 0
2 years ago
I NEED HeLPn PLS PLS PLS
mr_godi [17]

Answer:

Step-by-step explanation:

Point A = 1 ,1.5

Point B = 3.5 ,0.5

Point C = 6.5 ,6

6 0
2 years ago
15 quarts=_cups how many cups???
atroni [7]

Answer:

60 cups

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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