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Elan Coil [88]
3 years ago
14

Giving that ai +bj 5i-2j are perpendicular find the value of a if b=3​

Mathematics
1 answer:
Nonamiya [84]3 years ago
6 0

Answer:

a = \frac{6}{5}

Step-by-step explanation:

Given

ai + bj and 5i - 2j are perpendicular and b = 3, that is

ai + 3j and 5i - 2j are perpendicular, then

The scalar product = 0 , that is

5a - 6 = 0 ( add 6 to both sides )

5a = 6 ( divide both sides by 5 )

a = \frac{6}{5}

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This graph shows a proportional relationship.
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Answer:

  9/8

Step-by-step explanation:

The equation of a proportional relationship is ...

  y = kx

The constant of proportionality, k, can be found from ...

  k = y/x . . . . . above equation divided by x

Using the given points, we find the constant of proportionality to be ...

  k = (3/4)/(2/3) = (3/4)(3/2) = 9/8

The constant of proportionality is 9/8.

3 0
3 years ago
A circle with center on (7,0) with a radius of 9.
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Answer:

The answer to your question is   (x - 7)² + y² = 81

Step-by-step explanation:

Data

Center = (7, 0)

radius = 9

Process

To find the standard equation of a circle, just substitute the values of the center and the radius.

Standar equation of a circle

                     (x - h)²  +  (y - k)² = r²

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-Substitution

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-Simplification

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7 0
3 years ago
Liza gets paid $5.50 an hour to babysit her little cousins. Last weekend, she watched them for three hours on Friday, nine hours
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Answer: B (104.50)

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4 0
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The probability of randomly selecting a name starting with the letter T from bowl of 24 names depends on the names that are in the bowl,. The number 24 says nothing about the names. There can be neither probability that the randomly selected name starts with T, if in the bowl none of the 24 names starts with T. 
It could be also unlikely to select a name starting with T if there is a really small number of names in the bowl starting with T (for example 1 or 2 from 24). And it can be likely to chose a name  that start with T if there are many names in the bowl starting with T.So, it is important to know the number of names in the bowl starting with T. 
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