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2 years ago

Determine the width of the pond.

Mathematics

2 answers:

Delicious77 [7]2 years ago

4 0

Answer:

180 ft.

Step-by-step explanation:

$\frac{90}{135} = \frac{120}{x}$

$90x = 16200$

yanalaym [24]2 years ago

4 0

Check the picture below.

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The following polynomial can be factored using the techniques of this lesson x^2-18

Papessa [141]

Answer:

$(x+3\sqrt{2})(x-3\sqrt{2})$

Step-by-step explanation:

The given expression is $x^2-18$ .

The technique that can be used to factor this polynomial is the difference of two squares.

We rewrite the two expressions as;

$x^2-(\sqrt{18})^2$

Recall that;

$a^2-b^2=(a+b)(a-b)$

$x^2-(\sqrt{18})^2=(x+\sqrt{18})(x-\sqrt{18})$

$x^2-(\sqrt{18})^2=(x+3\sqrt{2})(x-3\sqrt{2})$

8 0

2 years ago

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Rewrite 9^4 * 10^4 as a single power

Vlada [557]

Answer:

90^8

Step-by-step explanation:

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3 years ago

What is an equation of the line that passes through the point (-6,7) and is perpendicular to the line

Temka [501]

The equation of line perpendicular to given line through (-6,7) is:

$y=\frac{1}{6}x+8$

Further explanation:

Given equation of line is:

$6x+y=3\\y= -6x+3$

The co-efficient of x is the slope of given line.

Let m1 be the slope of given line

and

m2 be the slope of line perpendicular to given line

Then

$m_1=-6$

Product of slopes of perpendicular lines is -1

$m_1*m_2 = -1\\-6*m_2=-1\\m_2=\frac{-1}{-6}\\m_2=\frac{1}6}$

The equation of new line can be written as:

$y=m_2x+b\\$

Putting m2

$y=\frac{1}{6}x+b$

To find the value of b, we will put (-6,7) in equation

$7=\frac{1}{6}(-6)+b\\7=-1+b\\b=7+1\\b=8$

Putting the values of b and m in general equation

$y=\frac{1}{6}x+8$

Keywords: Slope, Point-slope form, perpendicular lines

Learn more about perpendicular lines at:

#LearnwithBrainly

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3 years ago

What is 700 divided by 360

OlgaM077 [116]

Answer:

1.94444444444

6 0

3 years ago

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What is the slope intercept form of the line passing through the point (-2,2) and perpendicular to the line y=5x-2?

sukhopar [10]

Y = (1/5)x -2

for a perpendicular line, you make the slope the reciprocal of the other equation

4 0

2 years ago

Determine the width of the pond.​

Determine the width of the pond.