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3 years ago

Just need help solving this problem.

Mathematics

1 answer:

Sav [38]3 years ago

6 0

<h3>Answer:</h3>

19 sq. m

<h3>Step-by-step explanation:</h3>

The easiest way is to split the shape into two rectangles and solve from there.

The first rectangle to spilt is the 5x3 and then solve:

A = lw = 3 x 5 = 15

The second rectangle is 4x1 because we must take out the section (3) used by the other rectangle:

A = lw = 1 x 4 = 4

Then add the areas together:

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4 years ago

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

<u>Solution:</u>

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

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3 years ago

maria walks 22 feet, then goes another 40 feet on a path that makes a 70 degree angle with the path she was on. how far is she,

hammer [34]

Answer:

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Step-by-step explanation:

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3 years ago