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sveta [45]
3 years ago
10

What is the slope and the y-intercept of the line on the graph below?

Mathematics
1 answer:
jeka57 [31]3 years ago
6 0

The slope is the amount of change in the value of y for every one unit increase in the value of x. Thus, what we are looking for is, if the value of x increases by 1, by how much will the value of y increase (or effectively decrease, if this value is negative)?

From the graph, we can see that as x increases, y decreases, therefor we know that this will be a negative number. Furthermore, if we look at the points (0, 1) and (4, 0), we can see that there has been a decrease of 1 unit (or an increase of -1 units) in the y-value for an increase of 4 units in the x-value. Thus, if we wanted to find how much the y-value increases for a one unit increase in the x-value we would have -1/4.

This also reflects the formula for the gradient being rise/run - there has been a 'rise' of -1 (negative since it has fallen rather than risen) and a 'run' of 4 (this refers to the amount of units in the x-direction).

Now we can see that either C or D is the answer.

To find the y-intercept, we simply look at what the y-value is when x = 0; looking at the graph, we can see that y = 1 when x = 0, thus the y-intercept is 1.

Given that the gradient is -1/4 and the y-intercept is 1, we can see that the answer is C.

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<em></em>

To solve this question we would use the sine rule. The sine rule states that

<u>A/sin a = B/sin b</u>

if we take our angle a to be XZY, and b to be ZXY.

Going by angles in a triangle, ZXY = 180 - 90 - 35 = 55. This means that our angle b is 55º

applying the sine rule, we have

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11/0.5736 = B/0.8192, if we cross multiply, we have

B = (11 * 0.8192)/0.5736

B = 9.0112/0.5736

B = 15.7 ft

learn more about sine rule here brainly.com/question/9599008

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2 years ago
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nasty-shy [4]

Answer:

<h3>The number is 500</h3>

Step-by-step explanation:

Let the number be x

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That's

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Hope this helps you

3 0
3 years ago
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atroni [7]

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Answer:

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Step-by-step explanation:

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