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cupoosta [38]
3 years ago
6

find the equation of a line through the coordinate (3,6) and parallel to the line represented by y=5/3 x-1

Mathematics
1 answer:
maw [93]3 years ago
5 0

Slope-intercept form:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0 or (0,y))


For lines to be parallel, their slopes have to be the SAME.


The given line's slope is 5/3, so the parallel line's slope is also 5/3

y = 5/3x + b

To find "b", plug in the point (3,6) into the equation

y = 5/3x + b

6 = 5/3(3) + b

6 = 5 + b

1 = b


y = 5/3x + 1

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9514 1404 393

Answer:

  -361

Step-by-step explanation:

Your calculator can tell you the result. It is -361.

Start with the inner parentheses and work outward. Do multiplication and division in the order shown, left to right, before addition or subtraction.

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8 0
3 years ago
Equation<br><img src="https://tex.z-dn.net/?f=%28z%20%2B%20%20%5Cfrac%7B6%7D%7B7%7D%20%29%20%2B%20%20%5Cfrac%7B2%7D%7B14%7D%20%2
ddd [48]

Given:

The equation is

\left(z+\dfrac{6}{7}\right)+\dfrac{2}{14}=-1

To find:

The solution of the given equation.

Solution:

We have,

\left(z+\dfrac{6}{7}\right)+\dfrac{2}{14}=-1

It can be written as

\left(z+\dfrac{6}{7}\right)+\dfrac{1}{7}=-1

\left(z+\dfrac{6}{7}\right)=-1-\dfrac{1}{7}

Multiply both sides by 7.

7z+6=-7-1

7z+6=-8

7z=-8-6

7z=-14

Divide both sides by 7.

z=\dfrac{-14}{7}

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Therefore, the value of z is -2.

5 0
2 years ago
Each morning, Stacey makes 20 cinnamon bagels for his customers at Barney's Bagels. Because of a recent increase in the populari
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Answer: Stacey now bakes 36 cinnamon bagels.

Step-by-step explanation:

Given:  Each morning, Stacey makes 20 cinnamon bagels.

She has increased the number she bakes each morning by 80%.

Number of cinnamon bagels Stacey bake = 20+80% of  20

= 20+ (0.80)x 20           [To remove % , divide number by 100, So 80%=0.08]

= 20+16   [(0.80)x 20=16 ]

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Hence, Stacey now bakes 36 cinnamon bagels.

3 0
3 years ago
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padilas [110]

Answer:

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3 years ago
Find the slope between the point (a+b,4m-n) and (a-b,m+2n)​
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Answer:

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Step-by-step explanation:

Slope is expressed as;

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m = -3m+3n/-2b

Hence the required slope is m = -3m+3n/-2b

6 0
2 years ago
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