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vlabodo [156]
3 years ago
10

The two triangles below are similar.

Mathematics
1 answer:
Fynjy0 [20]3 years ago
8 0
The ratio of the corresponding side lengths are 2:7:5
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Which of the following points could be the initial point of vector v if it has a magnitude of 10 an the terminal point (-1,5)?
Eddi Din [679]
Let the initial point of the vector be (x,y). Then the magnitude of the vector v can be written as:

|v|= \sqrt{ (-1-x)^{2} + (5-y)^{2} }

The magnitude of vecor v is given to be 10. So we can write:

10= \sqrt{ (-1-x)^{2} + (5-y)^{2} } \\ \\ 100=(-1-x)^{2} + (5-y)^{2}

Now from the given options, we have to check which one satisfies the above equation. That point will be the initial point of the vector. 

The point in option d, satisfies the equation.

100=(-1+7)^{2} +(5+3)^{2}  \\  \\ 
100=36+64 \\  \\ 
100=100

Thus, the answer to this question is option D
7 0
3 years ago
F(x) =
Oksana_A [137]

9514 1404 393

Answer:

  f'(x) = (-6x² -14x -23)/(x² +5x +2)²

  f''(x) = (12x³ +42x² +138x +202)/(x² +5x +2)³

Step-by-step explanation:

The applicable derivative formula is ...

  d(u/v) = (v·du -u·dv)/v²

__

  f'(x) = ((-x² -5x -2)(4x +4) -(2x² +4x -3)(-2x -5))/(-x² -5x -2)²

  f'(x) = (-4x³ -24x²-28x -8 +4x³ +18x² +14x -15)/(x² +5x +2)²

  f'(x) = (-6x² -14x -23)/(x² +5x +2)²

__

Similarly, the second derivative is the derivative of f'(x).

  f''(x) = ((x² +5x +2)²(-12x -14) -(-6x² -14x -23)(2(x² +5x +2)(2x +5)))/(x² +5x +2)⁴

  f''(x) = ((x² +5x +2)(-12x -14) +2(6x² +14x +23)(2x +5))/(x² +5x +2)³

  f''(x) = (12x³ +42x² +138x +202)/(x² +5x +2)³

4 0
3 years ago
Which of the following is most likely the next step in the series?<br>​
tankabanditka [31]

Answer:

D

Step-by-step explanation:

8 0
3 years ago
It should take 5.22 minutes to clean a shower. You have 5 showers that need to be cleaned. How many minutes should it t
Eva8 [605]
5.22min ........1s \\ x...................5s \\\\ x=\frac{5.22min*5\not s}{1\not s} \\\\ \boxed{x=26.1 \ minutes}
6 0
3 years ago
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Kelly collected $15, $15, $25, and $29 in the last 4 donations for the class fundraiser. The mean of the donations is _____?
photoshop1234 [79]

Answer:

21

Step-by-step explanation:

To find the mean, add up all the numbers

15+15+25+29 =84

Divide by the number of numbers

84/4 = 21

4 0
2 years ago
Read 2 more answers
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