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Olenka [21]
3 years ago
7

HELP ME PLZZZ ITS PRECALC

Mathematics
1 answer:
Tema [17]3 years ago
5 0

Answer:

  8

Step-by-step explanation:

We observe that the logarithm bases are ...

  5√5 = √125 . . . . . 125 is the 2nd power of this

  2√2 = √8 . . . . . . . 8 is the 2nd power of this; 64 is the 4th power of √8

If we define ...

  p=\sqrt{125}\\q=\sqrt{8}

Then our logarithms are ...

  \log_{p}{p^2}=x=2\\\\\log_{q}{q^4}=y=4\\\\xy=2\cdot 4=8

The product of x and y is 8.

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3 years ago
Is y= -9/5x + 1/5 perpendicular to y= 5/9x + 2/9
Lana71 [14]

The given lines are perpendicular to each other.

Further explanation:

Given lines are:

Line 1: y= -9/5x + 1/5

Line 2:  y= 5/9x + 2/9

As the lines are in slope=intercept form, the co-efficient of x are their slopes

Let m1 be the slope of line 1 and m2 be the slope of line 2

Then

m_1=-\frac{9}{5}\\m_2=\frac{5}{9}\\m_1.m_2=-\frac{9}{5}*\frac{5}{9}\\m_1.m_2=-1

As we can see that the product of slopes of both lines is -1. The product of slopes of perpendicular lines is -1.

The given lines are perpendicular to each other.

Keywords: Slope, slope-intercept form

Learn more about equation of lines at:

  • brainly.com/question/4703807
  • brainly.com/question/4710621

#LearnwithBrainly

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