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il63 [147K]
3 years ago
9

The length of a rectangle is twice the width. The area is 50 square inches. Find the

Mathematics
1 answer:
Airida [17]3 years ago
4 0

Answer:

The dimensions are 5 and 10 inches

Step-by-step explanation:

The area is 50 square inches and the length is twice the width. 10 is the length, which is two times 5. 10 times 5 is 50.

The length is 10 and the width is 5.

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What is the equation of the line perpendicular to 3x+y= -8that passes through -3,1? Write your answer in slope-intercept form. S
Gekata [30.6K]

Slope intercept form of a line perpendicular to 3x + y = -8, and passing through (-3,1) is y=\frac{1}{3} x+2

<u>Solution:</u>

Need to write equation of line perpendicular to 3x+y = -8 and passes through the point (-3,1).

Generic slope intercept form of a line is given by y = mx + c

where m = slope of the line.

Let's first find slope intercept form of 3x + y = -8

3x + y = -8

=> y = -3x - 8

On comparing above slope intercept form of given equation with generic slope intercept form y = mx + c , we can say that for line 3x + y = -8 , slope m = -3  

And as the line passing through (-3,1) and is  perpendicular to 3x + y = -8, product of slopes of two line will be -1  as lies are perpendicular.

Let required slope = x  

\begin{array}{l}{=x \times-3=-1} \\\\ {=>x=\frac{-1}{-3}=\frac{1}{3}}\end{array}

So we need to find the equation of a line whose slope is \frac{1}{3} and passing through (-3,1)

Equation of line passing through (x_1 , y_1) and having lope of m is given by

\left(y-y_{1}\right)=\mathrm{m}\left(x-x_{1}\right)

\text { In our case } x_{1}=-3 \text { and } y_{1}=1 \text { and } \mathrm{m}=\frac{1}{3}

Substituting the values we get,

\begin{array}{l}{(\mathrm{y}-1)=\frac{1}{3}(\mathrm{x}-(-3))} \\\\ {=>\mathrm{y}-1=\frac{1}{3} \mathrm{x}+1} \\\\ {=>\mathrm{y}=\frac{1}{3} \mathrm{x}+2}\end{array}

Hence the required equation of line is found using slope intercept form

4 0
3 years ago
The shapes nelow are shaded to show two different fraftions, Are the fractions equivalent? Use the drop down menus to best expla
katovenus [111]

Answer:

Yes they are equivalent.

Step-by-step explanation:

They each represent one half.

5 0
2 years ago
A proof should always begin with stating the given information.<br> True<br> False
const2013 [10]
<span>A proof should always begin with stating the given information.
True</span>
5 0
3 years ago
Read 2 more answers
Fiona drew a regular polygon that first maps directly onto itself after rotating 15 degrees. How many sides does the polygon hav
AlexFokin [52]

Answer:

24

Step-by-step explanation:

Let n = number of sides

15n = 360

divide both sides of the equation by 15

n = 24

5 0
3 years ago
What times 14 gets me 50
katrin [286]

Answer:

x = 3.5714

Step-by-step explanation:

14x = 50

Divide 50/14

x = 3.5714

5 0
3 years ago
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