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3 years ago

The slope of the line passing through(-2,5) and (4,-1) is:

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

4 0

Answer:

The slope of the line passing through (-2, 5) and (4,-1) is -1.

Step-by-step explanation:

To solve this equation, we can use the formula Δy÷Δx=s.

(Change in y divided by change in x is equal to slope)

First, plot the two points on a graph, then draw a line connecting the two points.

Then, draw a line from (-2,5) to (-2,-1). Since the line goes down by 6 units from (-2,5), this means that the change in y is -6.

Draw a line from (-2,5) to (4,5). Since the line goes right by 6 units from (-2,5), this means that the change in x is +6.

Δy÷Δx=s

-6÷6=s

-6÷6=-1

-1=s

Therefore, the slope of the line passing through (-2, 5) and (4,-1) is -1.

More Info On Finding Slopes:

https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:linear-equations-graphs/x2f8bb11595b61c86:slope/v/introduction-to-slope

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To raise funds, a school sells two kinds of raffle tickets, some for $6 and the rest for $1.50 . Sales for both amounted to $822

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4 0

3 years ago

Read 2 more answers

Help asap will give brainliest!!!!

GarryVolchara [31]

Answer:

Step-by-step explanation:

ley y = f(x) and rearrange making x the subject

y = $\frac{1}{x+5}$ - 1 ( add 1 to both sides )

y + 1 = $\frac{1}{x+5}$ ( multiply both sides by (x + 5)

(y + 1)(x + 5) = 1 ← expand factors using FOIL

xy + 5y + x + 5 = 1 , that is

xy + x + 5y + 5 = 1 ( factor first/second and third/fourth terms on left side )

x(y + 1) + 5(y + 1) = 1 ← factor out (y + 1) from each term on left side

(y + 1)(x + 5) = 1 ( divide both sides by (y + 1) )

x + 5 = $\frac{1}{y+1}$ ( subtract 5 from both sides )

x = $\frac{1}{y+1}$ - 5

Change y back into terms of x with x = $f^{-1}$ (x) , then

$f^{-1}$ (x) = $\frac{1}{x+1}$ - 5 where x ≠ - 1

7 0

3 years ago

How do I find the answers to 17, 19, and 20?

Irina18 [472]

Answer:

17. 6

18. 18 (as shown)

19. 10/3 = 3 1/3

20. 20/3 = 6 2/3

Step-by-step explanation:

17. For this, you can subtract the given length GB=12 from the length you found for problem 18, BF=18. Doing that tells you FG = 18-12 = 6, as you have marked on the diagram.

19. As with median BF, the point G divides it into two parts that have the ratio 1:2. The distance from G to D is the shorter of the distances, so you have ...

... GD = (1/3) CD = (1/3)·10 = 10/3

... GD = 3 1/3

20. You can subtract GD from CD to get CG, or you can multiply CD by 2/3. The result is the same either way.

... CG = CD -GD = 10 -3 1/3

... CG = 6 2/3

_____

<em>Comment on centroid and median</em>

The centroid (G) divides each median into parts in the ratio 1:2. Hence the shorter of those parts is half the length of the longer one, or 1/3 the total length of the median.

The longer of the parts is double the length of the shorter one, or 2/3 the total length of the median.

Your marking of median BF seems to show an understanding of these relationships. (Total length: 18; length of parts: 6 and 12.)

3 0

3 years ago

Please help if you can!!!!

storchak [24]

Answer:Well, I don't know what you got so I can't tell you if it is right.

If it works in both equations, it depends of whether your equations are set up correctly.

Here is how I would do this problem.

Let x = no. of hot dogs,y = number of sodas.

First equation is just about the number of things.

x + y = 15

Second equation is about the cost of things.

1.5 x + .75 y = 18

solve x+y = 15 for y y = 15-x substitute into second equation

1.5x + .75(15 - x) = 18

You should get the correct answer for number of hot dogs if you solve this correctly. Put your answer in the x + y =15 equation to get y. Then put both x and y into the cost equation and check your answer.

Hope this helps.

Step-by-step explanation:

5 0

2 years ago

For the equation, complete the solution. 7x + y = −18

Alex777 [14]

Answer:

x= - 18/7 - 1/7y, y

or if you are solving for y= -18-7x, x

( SEE OTHER IMAGE)

Step-by-step explanation:

See image below:)

8 0

3 years ago

Read 2 more answers