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MAXImum [283]
3 years ago
15

Check picture to see question

Mathematics
2 answers:
Softa [21]3 years ago
7 0
This is easy! Just use the point-slope form: y - y_{1} = m(x - x_{1})

Plug in the values:

-1 - 4 = m(2 - (-3))
Combine like terms

-5 = 5m

Divide both sides by 6

m = 5/-5 or 

m = -1
rewona [7]3 years ago
4 0
Slope
= (-1-4)/(2+3)
= -5/5
= -1
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42. Which matrix represents the image of the triangle with vertices at (-2,0), (1,5), and (4,-8) when dilated by a scale factor
jasenka [17]

The second matrix \left[\begin{array}{ccc}-6&3&12\\0&15&-24\end{array}\right] represents the triangle dilated by a scale factor of 3.

Step-by-step explanation:

Step 1:

To calculate the scale factor for any dilation, we divide the coordinates after dilation by the same coordinated before dilation.

The coordinates of a vertice are represented in the column of the matrix. Since there are three vertices, there are 2 rows with 3 columns. The order of the matrices is 2 × 3.

Step 2:

If we form a matrix with the vertices (-2,0), (1,5), and (4,-8), we get

\left[\begin{array}{ccc}-2&1&4\\0&5&-8\end{array}\right]

The scale factor is 3, so if we multiply the above matrix with 3 throughout, we will get the matrix that represents the vertices of the triangle after dilation.

Step 3:

The matrix that represents the triangle after dilation is given by

3\left[\begin{array}{ccc}-2&1&4\\0&5&-8\end{array}\right] = \left[\begin{array}{ccc}3(-2)&3(1)&3(4)\\3(0)&3(5)&3(-8)\end{array}\right] = \left[\begin{array}{ccc}-6&3&12\\0&15&-24\end{array}\right]

This is the second option.

4 0
3 years ago
Suppose marginal benefit of your first cup of coffee is $4 of your second is $3, and your third is $2 . If the price of coffee i
enot [183]
I would buy 69 cups of coffee
7 0
2 years ago
I i iii ii need help
san4es73 [151]

Answer:

C or the bottom left one

Step-by-step explanation:

7 0
2 years ago
Find the geometric sum 4 + 12 + 36 + . . . + 236,196.
Zolol [24]
The answer choices are sufficiently far apart that you can work this backward. The sum will be ...
  236,196*(1 + 1/3 + 1/9 + 1/27 + ...)
so a reasonable estimate can be given by an infinite series with a common ratio of 1/3. That sum is
  236,196*(1/(1 - 1/3)) = 236,196*(3/2)

Without doing any detailed calculation, you know the best answer choice is ...
  354,292


_____
There are log(236196/4)/log(3) + 1 = 11 terms* in the series, so the sum will be found to be 4(3^11 -1)/(3-1) = 2*(3^11-1) = 354,292.

Using the above approach (working backward from the last term), the sum will be 236,196*(1-(1/3)^11)/(1-(1/3)) = 236,196*1.49999153246 = 354,292

___
* If you just compute log(236196/4)/log(3) = 10 terms, then your sum comes out 118,096--a tempting choice. However, you must realize that the last term is larger than this, so this will not be the sum. (In fact, the sum is this value added to the last term.)
3 0
3 years ago
What does y = x + 2 y = -3x
barxatty [35]
The answer is (-1/2, -3x)
7 0
3 years ago
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