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BaLLatris [955]
3 years ago
11

Carpet costs $12 per square yard. How much will it cost to carpet a room that is 180 square feet? Please help me 

Mathematics
1 answer:
Tom [10]3 years ago
5 0
$2,160. Need an explanation?
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oksano4ka [1.4K]

Answer: Distance is 14.6

Step-by-step explanation:

d = √((x2-x1)2 + (y2-y1)2)

(x2-x1) = (7 - 3) = 4

(y2-y1) = (-6 - 8) = -14

add it all together

(4)2 + (-14)2 = 16 + 196 = 212

Square 212

\sqrt{212} =14.5602

round to the nearest tenth

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Complete the equation for the standard form of the line that has an x-intercept of –4 and a y-intercept of 3
Kazeer [188]

Answer:

The equation for the standard form of the line will be:

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Step-by-step explanation:

Given

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  • y-intercept = 3

The equation of a line in standard form

  • Ax + By = C

where A is a positive integer and B, C are integers

We know the equation of a line in  slope-intercept form

y = mx+b

where m is the slope and b the y-intercept

To calculate the slope, use the gradient formula

m = y₂-y₁ / x₂-x₁

let  

(x₁, y₁) = (-4, 0)             ∵ x-intercept = (-4, 0)

(x₂, y₂) = (0, 3)              ∵ y-intercept = (0, 3)

m = y₂-y₁ / x₂-x₁

    = (3 - 0) / (0 - (-4))

    = 3 / 4

Thus, the equation in slope-intercept form:

y = mx+b

y = 3/4x + 3

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Multiply y = 3/4x + 3 by 4

4y = 3x + 12

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Thus, the equation for the standard form of the line will be:

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