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stira [4]
3 years ago
14

What is the equation of the line?​

Mathematics
1 answer:
kompoz [17]3 years ago
8 0

A line has an equation of a form,

y=ax+b

From a graph we can pick two points on the line, say A and B where,

A(x_1,y_2),B(x_2,y_2)\longrightarrow A(0,0),B(1,-1)

Using their coordinates we are able to calculate slope.

a=\dfrac{\Delta{y}}{\Delta{x}}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-1-0}{1-0}=-1

Hence,

y=-1\cdot x+b

The x and y terms can be replaced with coordinates of one point either A or B. I'll pick A.

0=-1\cdot0+b

And now solve for b.

0=0+b\Longrightarrow b=0

Hence,

y=-1\cdot x+0

Simply,

\boxed{y=-x}

Hope this helps.

r3t40

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Ashley’s Phone bill went from 32.25 to 18.70 what was the percent of decrease? Plz help a little confused...plz explain how you
Kruka [31]

Answer:

42%

Step-by-step explanation:

To find the percent of decrease first find the difference between 32.25 and 18.70.

32.25 - 18.70 = 13.55

Now divide this number by the original number, in this case 32.25, and then multiply the answer you get by 100.

13.55 / 32.25 = 0.42

Multiply this number by 100 to get the percentage.

0.42 * 100 = 42

5 0
3 years ago
If ƒ(x) = -4x - 7 and g(x) = 1/x ^2 , then what is the value of g(ƒ(-2))?
sergij07 [2.7K]
Answer to both is “ 1 “ !
7 0
3 years ago
Use similar triangles to calculate the height,h cm, of triangle ABE
Anton [14]

Let's assume that the diagram or image that was not attached by you is similar to the image that I attached. The answer below may not be perfect but it is to give you an idea of what is expected of you in this circumstance.

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3 0
3 years ago
Four band members, Harry, Isabel, Jose, and Karen, are all boarding a bus to attend a concert. In each arrangement below, the fi
Leto [7]

Answer:

They boarded the bus in descending alphabetical order: Karen, Jose, Isabel and Harry

Step-by-step explanation:

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If Karen was the first to board a bus, this means that Jose will be the second to board the bus, third is Isabel and Harry will be fourth.

It can be concluded that they boarded the bus in descending alphabetical order.

6 0
3 years ago
Read 2 more answers
The shape of the distribution of the time required to get an oil change at a 10 minute oil change facility is unknown. However,
lyudmila [28]

Answer:

The answer is below

Step-by-step explanation:

a) For a normal model the sample size has to be equal or greater than 30 so that it can be a normal distribution.

b) Given that:

μ = 11.2 minutes, σ = 4.8 minutes, n = 45

The z score determines how many standard deviations the raw score is above or below the mean. It is given by:

z=\frac{x-\mu}{\sigma} \\For\ a\ sample\ size(n)\\z=\frac{x-\mu}{\sigma/\sqrt{n} }

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7 0
3 years ago
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