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madam [21]
3 years ago
7

Write an equation in slope intercept form for the given slope. (5,9).(6,8)

Mathematics
1 answer:
vovangra [49]3 years ago
6 0

<u>Answer: </u>

The equation in slope intercept form for (5,9) and (6,8) is y = 3x-10

<u>Solution: </u>

Given that (5,9) and (6,8)

Here, x_{1}=5 ; y_{1}=5 ; x_{2}=6 ; y_{2}=8

We know the slope of an equation is given by y = mx+c

To find the value of m, we use the below given formula

\mathrm{m}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Substituting the values we get,

\mathrm{m}=\frac{8-5}{6-5}

m = \frac{3}{1}

m = 3

Putting the value of m in the slope intercept form we get,

y = 3x+c

To find the value of c, we substitute the value of x and y from any two given point. Let’s take x = 5 and y = 5

5 = 3(5) + c

5 = 15 +c

5-15 = c

c = -10

Therefore the slope intercept equation becomes y = 3x -10

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Answer:

2\frac{2}{3}\ yards

Step-by-step explanation:

we know that

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so

6-3\frac{1}{3}

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Rzqust [24]

Answer:

\frac{180}{147}

Step-by-step explanation:

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=> \frac{(-3 \times 3) - 11}{21}

=> \frac{-9 - 11}{21}

=> \frac{-20}{21}

  • Find the additive inverse of  \frac{-20}{21} by using its property - <em>"Sum of a number & its additive inverse is always zero". </em>Assume that 'x' is an additive inverse of  \frac{-20}{21}.

=> x + \frac{-20}{21} = 0

=> x = 0 - (-\frac{20}{21}) = \frac{20}{21}

  • Simplify (\frac{9}{5} \div \frac{7}{5} )

=> \frac{9}{5} \times \frac{1}{\frac{7}{5} }

=> \frac{9}{5} \times \frac{5}{7}

=> \frac{9}{7}

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Answer:

Answer Below

Step-by-step explanation:

a. 2L+2W≥40

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3 years ago
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A rectangular prism has a length of 212 centimeters, a width of 212 centimeters, and a height of 5 centimeters. Justin has a sto
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Answer:

3.75\ cm^{3}  or  3\frac{3}{4}\ cm^{3}

Step-by-step explanation:

step 1

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we know that

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V=LWH

In this problem we have

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substitute in the formula

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step 2

Find the difference between the volume of the prism and the volume of the storage container

35\ cm^{3}-31.25\ cm^{3}=3.75\ cm^{3}

3.75=3\frac{3}{4}\ cm^{3}

3 0
3 years ago
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