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LekaFEV [45]
3 years ago
14

Write the slope-intercept form of the equation of each line​

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
8 0

First let's talk about the blue line.

You can see its rising so its slope is certainly positive. But by how much is it rising? You can observe that each unit it rises it goes 1 forward and 1 up so its slope is the ratio of 1 up and 1 forward which is just 1.

We have thusly,

y=x+n

Now look at where blue line intercepts y-axis, -1. That is our n.

So the blue line has the equation of,

y=x-1

Next the black lines. The black lines are axes so their equations are a bit different.

First let's deal with x-axis, does it have slope? Yes but it is 0. The x-axis is still, not rising nor falling. Where does x-axis intercept y-axis? At 0. So the equation would be,

y=0x+0=0

Now we have y-axis. Does y axis have a slope? Yes but it is \infty. The y-axis rises infinitely in no run. Where does it intercept y-axis? Everywhere! So what should the equation be? What if we ask where does y-axis intercept x-axis and write its equation in terms of x. Y-axis intercepts x-axis at 0 which means its equation is,

x=0

That is, every point of a form (0,a) lies on y-axis.

Hope this helps :)

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Answer:

14)

21√2

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Leg: 7√3

Hypotenuse: 14

Step-by-step explanation:

The hypotenuse is √2 as long as each leg. That means the leg is 42/√2. Simplified to make 21√2.

The hypotenuse is always twice as long as the shortest leg on a 30-60-90 triangle. The longer leg is √3 as long as the shortest side.

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Step-by-step explanation:

given a normal distribution with the given parameters the probability (= the % of the area of the distribution curve) for a number to be between 203 and 1803 is

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so, 99.87% of all numbers are expected to be in that range.

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Answer:

  a)  |n -11| = 5

  b)  n ∈ {6, 16}

Step-by-step explanation:

The wording of the question is ridiculous. We assume it is intended to read, "The distance between two numbers is 5. One of the numbers is 11. What are the possibilities for the other?"

a) The distance between a number (n) and 11 can be written as ...

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Since we want that distance to be 5, we can write the equation ...

  |n -11| = 5

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b) The equation resolves to two:

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  • n -11 = -5

Adding 11 to both sides of both equations gives ...

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  • n = 6

The two solutions are n=6 and n=16.

_____

<em>Comment on the question statement</em>

Increasingly, we see curriculum materials written in Pidgin English or where the words have a meaning different from that understood by a native English speaker. It appears you are the lucky recipient of such materials, so must do occasional "interpretation". Here, it seems that "two time a number" is intended to mean "two numbers."

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