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Mila [183]
3 years ago
13

What is this expression in factored form? x^2+13x+42

Mathematics
1 answer:
Allushta [10]3 years ago
4 0

Answer and explanation:

x^{2} + 13x + 42

(x + 6)(x + 7)

List the multiples of 42

42: 1  2  3  6  7  14  21  42

Then see which of the multiples add up to 13

1 x 42 = 42 --> 1 + 42 \neq 13

2 x 21 = 42 --> 2 + 21 \neq 13

3 x 14 = 42 --> 3 + 14 \neq 13

6 x 7 = 42 --> 6 + 7 = 13

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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:

  • brainly.com/question/702593
  • brainly.com/question/7128279

#LearnwithBrainly

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Apply. 
\frac{20-10}{7-7} =  \frac{10}{0} = undefined (No slope) 

Thus, that answer is: Choice D. 

If you're wondering why C isn't this answer, it's because  it doesn't matter if 0 is the numerator of a fraction. If it was, then the slope would be 0 regardless. However, if 0 takes place in the denominator, the slope will be undefined; there will be no slope. 
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