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3 years ago

The perimeter of a square is 36 inches. Find the length of a diagonal

Mathematics

1 answer:

sergey [27]3 years ago

4 0

The length of a diagonal is nine inches because it is the same length as the side length.

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A binomial consists of———— terms

Softa [21]

Consists of two terms (A+B)

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2 years ago

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Find the value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2

soldier1979 [14.2K]

The value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2 is -2

Solution:

Given that line is passing through point (-5, 2) and (3, r)

Slope of the line is $\frac{-1}{2}$

Need to determine value of r.

Slope of a line passing through point $\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right)$ is given by following formula:

$\text { Slope } m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ --- eqn 1

$\text { In our case } x_{1}=-5, y_{1}=2, x_{2}=3, y_{2}=\mathrm{r} \text { and } m=-\frac{1}{2}$

On substituting the given value in (1) we get

$\begin{array}{l}{-\frac{1}{2}=\frac{r-2}{3-(-5)}} \\\\ {\text { Solving the above expression to get value of } r} \\\\ {=>-\frac{1}{2}=\frac{r-2}{3+5}} \\\\ {=>-8=\frac{r-2}{3+5}} \\\\ {=>-8=2(r-2)} \\\\ {=>-8=2 r-4} \\\\ {=>2 r=-8+4} \\\\ {=>2 r=-4} \\\\ {=>r=\frac{-4}{2}=-2}\end{array}$

Hence the value of "r" is -2

8 0

3 years ago

I can define continuous data as:

stira [4]

Answer:

Continuous data are data which can take any values. Examples include time, height and weight. Because continuous data can take any value, there are an infinite number of possible outcomes.

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3 years ago

The equation P= 21 + 2w models the perimeter, P, of a rectangle with a length of / units and a width of w units.

natima [27]

Answer:

width = 10 units and length = 20 units

Step-by-step explanation:

Let the width be w

so Length will be 2w

using the rectangle formula:

$\sf Perimeter \ of \ rectangle= 2L + 2W$

$\sf 60= 2(2w) + 2w$

$\sf 60= 4w + 2w$

$\sf 60= 6w$

$\sf w = 10 \ units$

Find length:

$\sf length = 2w$

$\sf length = 2(10)$

$\sf length = 20 \ units$

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2 years ago

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If the first step of solving a system of equations by subsistution is to solve one equations for one of the variables, how do ch

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Choose two equations and use them to eliminate one variable.Choose another pair of equations and use them to eliminate the same variable.Use the resulting pair of equations from steps 1 and 2 to eliminate one of the two remaining variables.

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2 years ago