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kiruha [24]
3 years ago
15

What are the slope and y-intercept of this line?

Mathematics
2 answers:
34kurt3 years ago
7 0

Answer:

m=2 b=1 aka B

Step-by-step explanation:

trust me i know

hichkok12 [17]3 years ago
3 0
<h3>Answer:  m = 2, b = 1</h3>

The y intercept is where the graph crosses the vertical y axis. In this case, it's at the point (0,-1). Focus on the y coordinate and we see y = -1. The y intercept is b = -1.

The slope is m = 2 because we start at a point like the y intercept, and do the following steps

  • go up 2
  • go over to the right 1

and arrive at the point (1,1) which is also on the graph. We can follow these steps again to go from (1,1) to (2,3) and so on.

Alternatively, you can pick two points on the graph such as (1,1) and (2,3) to use the slope formula

m = (y2 - y1)/(x2 - x1)

m = (3-1)/(2-1)

m = 2/1

m = 2

Either way, the slope is 2.

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Answer: The correct number of balls is (b) 4.

Step-by-step explanation:  Given that a single winner is to be chosen in a random draw designed for 210 participants. Also, there is an equal probability of winning for each participant.

We are using 10 balls, numbered through 0 to 9. We are to find the number of balls which needs to be picked up, regardless of order, so that each of the 210 participants can be assigned a unique set of numbers.

Let 'r' represents the number of balls to be picked up.

Since we are choosing from 10 balls, so we must have

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Now,

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If r = 2, then

^{10}C_2=\dfrac{10!}{2!(10-2)!}=\dfrac{10!}{2!8!}=\dfrac{10\times 9\times 8!}{2\times 1\times 8!}=45

If r = 3, then

^{10}C_3=\dfrac{10!}{3!(10-3)!}=\dfrac{10!}{3!7!}=\dfrac{10\times 9\times 8\times 7!}{3\times 2\times 1\times 7!}=120

If r = 4, then

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Therefore, we need to pick 4 balls so that each participant can be assigned a unique set of numbers.

Thus, (b) is the correct option.

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Step-by-step explanation:

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<u>Given</u>:

Given that RST is a right triangle.

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<u>Value of t:</u>

The value of t can be determined using the trigonometric ratio.

Thus, we have;

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sin \ R=\frac{ST}{SR}

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