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2 years ago

Use a number line to help you find the sum of -24+8

Mathematics

1 answer:

Triss [41]2 years ago

6 0

Answer:

-16

Step-by-step explanation:

When adding a negative and a positive number, you need to keep in mind that your are essentially adding.

so if I have a number line

-24, -23, -22, -21, -20, -19, -18, -17, -16, -15, -14,,,,

you will start at -24 and will go up the number line (to the right) 8 times and that should get you your answer.

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What is an equation of the line that passes through the point ( 6 , − 2 ) (6,−2) and is perpendicular to the line 6 x + y = 2 6x

Diano4ka-milaya [45]

Answer:

An equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be:

$y=\frac{1}{6}x-3$

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

y=mx+b

where m is the slope and b is the y-intercept.

Given the line

6x+y=2

Simplifying the equation to write into the slope-intercept form

y = -6x+2

So, the slope = -6

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

Thus, the slope of the perpendicular line will be: -1/-6 = 1/6

Therefore, an equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be

$y-y_1=m\left(x-x_1\right)$

substituting the values m = 1/6 and the point (6, -2)

$y-\left(-2\right)=\frac{1}{6}\left(x-6\right)$

$y+2=\frac{1}{6}\left(x-6\right)$

subtract 2 from both sides

$y+2-2=\frac{1}{6}\left(x-6\right)-2$

$y=\frac{1}{6}x-3$

Therefore, an equation of the line that passes through the point (6, − 2) and is perpendicular to the line will be:

$y=\frac{1}{6}x-3$

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2 years ago

What is the term for the likelihood that a correlation exists in a population, based on knowledge of the actual value of r in a

zvonat [6]

Answer:

Statistical significance

Step-by-step explanation:

The Statistical significance provides a link between the dependent and the independent variable. It provides us the indication that the change in the independent variable is correleated with the shift caused in the dependent variable.

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3 years ago

Simplify the trigonometric expression.

Natasha_Volkova [10]

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Now we can rewrite our expression using the common denominator:
$\frac{1-sin \alpha }{1-sin^2 \alpha } + \frac{1+sin \alpha }{1-sin^2 \alpha} = \frac{2}{1-sin^2 \alpha}$

Finally, we can use the trig identities: $1-sin^2 \alpha =cos^2 \alpha$ and $sec \alpha = \frac{1}{cos \alpha }$ to simplify our trig expression:
$\frac{2}{cos^2\alpha}=2sec^2 \alpha$

We can conclude that the correct answer is the fourth one.

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