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3 years ago

Write an equation in slope-intercept form for the line with slope −6 and y - intercept 6 .

Mathematics

1 answer:

valkas [14]3 years ago

7 0

Answer:y=-6x+6

Step-by-step explanation:

The format is y=mx+c

m=slope c=y-intercept

Slope given=-6

y-intercept=6

Therefore they equation will be

y=-6x+6

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Fed [463]

Your max amount for this is $20. Let's say x represents the number of gallons.

20 ≥ 3.2x
x = 6.25 gallons
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3 years ago

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3 years ago

) An engineer deploys a set of sensors. Each sensor reports its location as a point in two-dimensional space. The points are (2,

r-ruslan [8.4K]

Answer:

The polygon area is $51.5 U^{2}$

Step-by-step explanation:

Points:

(2,7), (8,2), (6,11), (6,5), (11,6)

1. The area of the polygon could be calculate with the eqation:

$A=\frac{1}{2}\left[\begin{array}{ccc}x_{1} &y_{1}\\x_{2} &y_{2}\\x_{3} &y_{3}\\x_{4} &y_{4}\\x_{5} &y_{5}\end{array}\right]$

2. Replace the coordinates in equation for A:

$A=\frac{1}{2}\left[\begin{array}{ccc}2&7}\\8&2\\6&11\\6&5\\11&6\end{array}\right]$

3. Solve the determinant, and calculate A:

$A=\frac{1}{2}\left[\begin{array}{ccc}2&7}\\8&2\\6&11\\6&5\\11&6\end{array}\right]\\A=\frac{1}{2}[(6)(7)+(11)(11)+(8)(6)+(6)(2)]-[(2)(11)+(6)(6)+(11)(2)+(8)(5)]\\A=\frac{1}{2}[42+121+48+12]-[22+36+22+40]\\A=\frac{1}{2}[223]-[120]\\\\A=\frac{1}{2}[103]=51,5 U^{2}$

The polygon area is $51.5 U^{2}$

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4 years ago

Is y = 7/8x proportional or non-proportional??

kati45 [8]

Answer:

It is proportional

Step-by-step explanation:

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3 years ago

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Gnoma [55]

Answer:

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3 years ago