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3 years ago

SIMPLIFY THE EXPRESSION. 9(1 - 7x)

Mathematics

2 answers:

solmaris [256]3 years ago

8 0

Answer:

9 - 63x

Step-by-step explanation:

Apply the distributed property:

9 × 1 = 9
9 × 7x = 63x
Put them together: 9 - 63x

I hope this helps!

jok3333 [9.3K]3 years ago

7 0

Answer:

9-63x

Step-by-step explanation:

9(1-7x)

9-63x

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Someone please help, its for a hw assignment I have due today. What is the equation of the line through (3, 7) that is perpendic

Brilliant_brown [7]

The required equation is:

$y=-\frac{6}{5}x+\frac{53}{5}$

Step-by-step explanation:

Let l_1 be the line through (-1, -2) and (5, 3)

and l_2 be the line we require which passes through (3,7)

We have to find the lope of l_1 first

$m_1=\frac{y_2-y_1}{x_2-x_1}\\=\frac{3-(-2)}{5-(-1)}\\=\frac{3+2}{5+1}\\=\frac{5}{6}$

we have to find the equation of line perpendicular to l1

The product of slopes of two perpendicular lines is -1

Let m_2 be the slope of l_2

Then

$\frac{5}{6}*m_2=-1\\m_2=-\frac{6}{5}$

The general slope-intercept form is:

y=mx+b

Putting the value of slope

$y=-\frac{6}{5}x+b$

To find the value of b, we will put (3,7) in the equation

$7=-\frac{6}{5}(3)+b\\7=-\frac{18}{5}+b\\b=7+\frac{18}{5}\\b=\frac{35+18}{5}\\b=\frac{53}{5}$

Putting the values of b and m in standard slope intercept form:

$y=-\frac{6}{5}x+\frac{53}{5}$

Hence,

The required equation is:

$y=-\frac{6}{5}x+\frac{53}{5}$

Keywords: Equation of line

Learn more about equation of line at:

#LearnwithBrainly

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