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Anni [7]
3 years ago
15

Find the equation of the line that is perpendicular to y = –3x + 1 and passes though the point (6, 3).

Mathematics
1 answer:
JulsSmile [24]3 years ago
6 0

Answer:

y = \frac{1}{3} x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 1 ← is in slope- intercept form

with slope m = - 3

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-3} = \frac{1}{3}, thus

y = \frac{1}{3} x + c ← is the partial equation of the perpendicular line

To find c substitute (6, 3) into the partial equation

3 = 2 + c ⇒ c = 3 - 2 = 1

y = \frac{1}{3} x + 1 ← equation of perpendicular line

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A cognitive psychologist would like to evaluate the claim that the omega-3 fatty acids in fish can help improve memory in normal
Leno4ka [110]

Answer:

a.

Independent variable:

i. Fish Extract of Omega 3 Fatty Acids

ii. Placob

Dependent variable:

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b.

The dependent variable is continuous

c.

The scale of measurement is Ratio scale

And it is a Discrete Variable

d.

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Explanation:

a.

There are three variables in the question above.

They are

Fish Extract of Omega 3 Fatty Acids, Placob and Memory test.

The first 2 are the independent variable

They are so because they can't be controlled.

Independent variable also known as controlled variable are those variables that their values do not depend on or affected by the state of any other variable in the experiment.

It is the condition that can be altered in an experiment. It is the variable you control

While the dependent variable are the response or results of an experiment because we are assessing how it responds to a change in the independent variable, so you can think of it as depending on the independent variable.

The independent variable is the Memory test, which proves how much information participants were able to retain from the articles.

b.

The dependent variable, Memory Test is continuous variable.

A variable is said to be a continuous variable if it can take on an uncountable set of values.

Memory test can't be measured in numbers; it can only be evaluated based on reasoning.

c.

The Ratio scale of measurement are used sto represents quantity and has equality of units:

Here, the independent variable are measured in milligrams (500mg, daily).

2 of it is 1000mg; none of it is 0mg which means there's no quantity of the fish extract.

And it is a Discrete Variable because it can take a particular range of Value (i.e. 500mg, daily)

d.

The above research is an experimental research method because it involves the psychologist assigning subjects (the fish extract and platob) to treatments for the purpose of seeing what effect (the memory test) the treatments have on some response.

8 0
4 years ago
Wht is 8 x 6 x 7 - 9 x 56 x 90 - 75 / 0
katrin2010 [14]

Answer:

cant answer that, its not compleet

Step-by-step explanation:

8 0
3 years ago
Please help me understand and do this, many thanks in advance.
Sladkaya [172]

Answer:

59

Step-by-step explanation:

23 = x = total angle which is 82

so x =82-23

=59

4 0
3 years ago
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