2 years ago

The area of a square poster is 987cm square.Find the perimeter of the poster, leaving your answer correct to 1 decimal place

1 answer:

3 0

√987 = 31.416556145
Length of one side: 31.416556145
31.416556145 × 4 = 125.66622458
125.66622458 to 1dp: 125.7

Perimeter: 125.7cm

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Write the equation of the line for the following table of values.

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Answer:

We conclude that the equation of the line is:

$y = 5x + 1$

Step-by-step explanation:

The slope-intercept form of the line equation

$y = mx+b$

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m is the slope

b is the y-intercept

Given the data table

x -3 -5 -7 -9 -11

y -16 -26 -36 -46 -56

From the table taking two points

(-3, -16)

(-5, -26)

Determining the slope between (-3, -16) and (-5, -26)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-3,\:-16\right),\:\left(x_2,\:y_2\right)=\left(-5,\:-26\right)$

$m=\frac{-26-\left(-16\right)}{-5-\left(-3\right)}$

$m=5$

Thus, the slope of the line is: m = 5

substituting m = 5 and (-3, -16) in the slope-intercept form of the line equation to determine the y-intercept b

$y = mx+b$

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-16 = -15 + b

b = -16+15

b = 1

Thus, the y-intercept b = 1

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$y = mx+b$

$y = 5x + 1$

Therefore, we conclude that the equation of the line is:

$y = 5x + 1$

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