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SpyIntel [72]
3 years ago
14

Write a measurement division story problem for 6 divide 3/4

Mathematics
1 answer:
jeka57 [31]3 years ago
7 0

Answer:

Sorry baby

SOU brasileira

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-3w^2+5x^2-5w

Step-by-step explanation:

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x plus 2 equals three x minus eight.

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For what values of b are the vectors [−9, b, 5] and [b, b2, b] orthogonal? (Enter your answers as a comma-separated list. If an
aivan3 [116]

Answer:

The values of b are [-2,0,2] for which the vectors are orthogonal.

Step-by-step explanation:

Given:

Vector [-9,b,5] and Vector [b,b^2,b].

According to the question:

Both the above vectors are orthogonal we have to find the value of b.

Orthogonal vectors:

  • Are the vectors which, are at right angles to each other.
  • Meaning they are perpendicular to each other.
  • And their,Dot product is equivalent to zero.

So we have to calculate by dot product and make it equal to zero and then have to solve the b values.

Dot Product:

For vectors a and b where a=(a_1,a_2,a_3) and b=(b_1,b_2,b_3) the dot product is (a.b)=(a_1b_1+a_2b_2+a_3b_3).

Solving.

⇒ (-9,b,5).(b,b^2,b)

⇒ (-9b+b^3+5b) =0

⇒ (b^3-4b)=0

⇒ b(b^2-4)=0  <em>...taking b as common.</em>

⇒ b(b^2-2^2)=0

⇒ b(b-2)(b+2)=0 <em>...using algebraic identity,</em>  a^2-b^2=(a-b)(a+b).

⇒ Equating with zero individually.

⇒ b=-2,0,2

So the values of b are [-2,0,2] for which the given vectors are orthogonal.

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3 years ago
Which expressions are equivalent to 5 to the 18th
Brut [27]

Answer:

sdddadaadaaadaad

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3 years ago
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