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Svet_ta [14]
3 years ago
8

What is the equation of a line that passes through the point (6,3) and is perpendicular to a line with a slope of -3/2

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
3 0

Answer:

  none of the above

Step-by-step explanation:

The perpendicular line will have a slope that is the negative reciprocal of the given slope, so it is ...

  m = -1/(-3/2) = 2/3

The point-slope form of the equation of the line with slope m through point (h, k) can be written ...

  y = m(x -h) +k

For this slope and the point (6, 3), the equation of the line is ...

  y = (2/3)(x -6) +3

  y = 2/3x -4 +3

  y = 2/3x -1 . . . . . matches none of the offered choices

_____

The attached graph shows this equation is the one that goes through the given point.

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Solve: −4b+4b≥6(−5b+7)−3(b+3)
Mariana [72]

Answer:

Inequality Form:

b ≥ 1

Interval Notation:

[1,∞)

Step-by-step explanation:

4 0
2 years ago
What is the midpoint of the line segment with endpoints (3.2, 2.5) and<br> (1.6, -4.5)
jok3333 [9.3K]

Answer:

(2.4, -1)

Step-by-step explanation:

Using midpoint formula plug in the info (x1+x2)/2, (y1+y2)/2

8 0
2 years ago
The company A produces products a, and the company B produces products b. It is known that 3 percent of companies that produce p
jeka94

Answer:

0.00183

Step-by-step explanation:

The two companies produce different products and the chance to go bankrupt will be different based on the product made. So, the probability of the company A and B to go bankrupt is independent.  

To find the answer of this question, we just need to multiply the probability to go bankrupt of each company. The calculation will be:

P(A=bankrupt) * P(B=bankrupt)= 3% * 6.1% =0.183%= 0.00183

5 0
3 years ago
Is this right? I feel like I’m wrong.
Arisa [49]

Answer:

no I believe you are correct

Hope This Helps! Have A Nice Day!!

4 0
3 years ago
Read 2 more answers
Let R be the event that a randomly chosen person lives in the city of Raleigh. Let O be the event that a randomly chosen person
Anit [1.1K]

Answer:

P(O|R)

Step-by-step explanation:

The conditional probability notation of two events A and B can be written as either P(A|B) or P(B|A).

The '|' sign is read as 'given'. So, P(A|B) is read as the probability of event A given event B which implies that it is the probability that event A will occur given that event B has already occurred.

In the question,

Event R = Person lives in the city of Raleigh

Event O = Person is over 50 years old

The statement says, 'given that the person lives in Raleigh' which means that event R has already occurred and we need to find the probability of event O (the randomly chosen person is over 50 years old).

Hence, this statement can be given in conditional probability notation as

P(O|R)

7 0
2 years ago
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