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Kamila [148]
3 years ago
8

What is the equation of a line , in a slope -intercept form , that passes through (5,-3) and has a slope of 2/3? A. y-3= 2/3(x+5

) B. y-5=2/3(x+3) C.y+3=2/3(x-5) D. y+5=2/3(x-3)
Mathematics
1 answer:
zmey [24]3 years ago
8 0
Ur asking for slope intercept form, but ur answer choices are in point slope form....so I am gonna find the answer in point slope form.

y - y1 = m(x - x1)
slope(m) = 2/3
(5,-3)....x1 = 5 and y1 = -3
now we sub...but pay very close attention to ur signs
y - (-3) = 2/3(x - 5) = 
y + 3 = 2/3(x - 5) <=== ur answer in point slope form


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Answer:

\huge\boxed{\sf Area\ of\ the\ circle = 1385.4\ in.\²}

Step-by-step explanation:

We have to find out the area of the square in order to find how many square inches were cut from the squared cloth.

Diameter = 42 in.

Radius = D / 2 = 42 / 2 = 21 in.

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Where r = 21 in.

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Step-by-step explanation:

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Papaya rosette Pieces on second day = 7020

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a_1 = 5890\\a_2 = 7020\\a_3 = 8150

We can check if these numbers are part of a sequence.

In order to check, common difference will be found first.

d = a_2-a_1 = 7020-5890 = 1130\\d =a_3-a_2 = 8150-7020 = 1130

It can be observed that the common difference is same. When the common difference is same, the sequence is said to be an arithmetic sequence.

The formula for arithmetic sequence is given by:

a_n = a_1+(n-1)d

Putting the values

a_n = 5890+(n-1)(1130)\\a_n = 5890+1130n-1130\\a_n =4760+1130n

The formula for nth term can be used to find any term. As we have to find the number of papaya rosette pieces after two weeks which means that we need to find the number of pieces on 14th day.

So,

a_{14}= 4760+1130(14)\\a_{14} = 4760+15820\\a_{14} = 20580

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Mr. Dairo can produce 20580 pieces of Papaya rosette in two weeks.

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