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masha68 [24]
3 years ago
11

Factor. 2v^2-11v-63

Mathematics
1 answer:
Tatiana [17]3 years ago
5 0

Answer:

  (2v +7)(v -9)

Step-by-step explanation:

Factors of 2·(-63) = -126 that have a sum of -11 are 7 and -18, so we can rewrite the middle term to -18v+7v. Then we can factor by grouping.

  2v^2 -18v +7v -63 = 2v(v -9) +7(v -9)

  = (2v +7)(v -9)

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Adrian says that 4(-9)= 36. Why is Adrian incorrect?
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Answer:

4(-9)= -36

Step-by-step explanation:

Since there's a negative on the 9 it will affect the product. So the answer is supposed to be a - 36.

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2 years ago
Y=3x-1 y=-2x+4 what is the sum of x and y in the solution to the system​
prohojiy [21]

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Step-by-step explanation:

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A rotating sprinkler sprays a steady stream of water that is 9 feet long. If the sprinkler makes a full rotation, what is the ap
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3 years ago
Find the vertices and foci of the hyperbola with equation quantity x plus one squared divided by sixteen minus the quantity of y
katrin2010 [14]

Answer:

The vertices are (3 , -5) , (-5 , -5)

The foci are (4 , -5) , (-6 , -5)

Step-by-step explanation:

* Lets study the equation of the hyperbola

- The standard form of the equation of a hyperbola with  

  center (h , k) and transverse axis parallel to the x-axis is

  (x - h)²/a² - (y - k)²/b² = 1

- The length of the transverse axis is 2 a

- The coordinates of the vertices are  (h  ±  a  ,  k)

- The coordinates of the foci are (h ± c , k), where c² = a² + b²

- The distance between the foci is  2c

* Now lets solve the problem

- The equation of the hyperbola is (x + 1)²/16 - (y + 5)²/9 = 1

* From the equation

# a² = 16 ⇒ a = ± 4

# b² = 9 ⇒ b = ± 3

# h = -1

# k = -5

∵ The vertices are (h + a , k) , (h - a , k)

∴ The vertices are (-1 + 4 , -5) , (-1 - 4 , -5)

* The vertices are (3 , -5) , (-5 , -5)

∵ c² = a² + b²

∴ c² = 16 + 9 = 25

∴ c = ± 5

∵ The foci are (h ± c , k)

∴ The foci are (-1 + 5 , -5) , (-1 - 5 , -5)

* The foci are (4 , -5) , (-6 , -5)

4 0
3 years ago
Read 2 more answers
Please can anyone help me?
hoa [83]
i’m pretty sure the answer would be 1) linear :D
6 0
3 years ago
Read 2 more answers
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