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2 years ago

5. Find cos 0 if sin 0= -12/13 and tan 0 > 0.

Mathematics

1 answer:

e-lub [12.9K]2 years ago

4 0

Answer:

-512

Step-by-step explanation:

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Give the equation of a line that goes through the point ( − 21 , 2 ) and is perpendicular to the line 7 x − 4 y = − 12 . Give yo

nlexa [21]

Given:

Equation of line $7x-4y=-12$ .

To find:

The equation of line that goes through the point ( − 21 , 2 ) and is perpendicular to the given line.

Solution:

The given equation of line can be written as

$7x-4y+12=0$

Slope of line is

$\text{Slope}=-\dfrac{\text{Coefficient of x}}{\text{Coefficient of y}}$

$m_1=-\dfrac{7}{(-4)}$

$m_1=\dfrac{7}{4}$

Product of slopes of two perpendicular lines is -1. So, slope of perpendicular line is

$m_1m_2=-1$

$m_2=-\dfrac{1}{m_1}$

$m_2=-\dfrac{4}{7}$ $[\because m_1=\dfrac{7}{4}]$

Now, the slope of perpendicular line is $m_2=\dfrac{4}{7}$ and it goes through (-21,2). So, the equation of line is

$y-y_1=m_2(x-x_1)$

$y-2=-\dfrac{4}{7}(x-(-21))$

$y-2=-\dfrac{4}{7}x-\dfrac{4}{7}(21)$

$y-2=-\dfrac{4}{7}x-12$

$y=-\dfrac{4}{7}x-12+2$

$y=-\dfrac{4}{7}x-10$

Therefore, the required equation in slope intercept form is $y=-\dfrac{4}{7}x-10$ .

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2 years ago

Select the correct answer. The area of a square is 9 square feet as shown below

kondaur [170]

The answer to the problem is A

6 0

2 years ago

At the beginning of the week, a puppy weighed 5 1/4 pounds. During the week, the puppy gains 8 ounces.

lys-0071 [83]

Answer:

5 3/4

Step-by-step explanation:

8 ounces is half (1/2) of a pound

1/2 is equivalent to 2/4

So I added 5 1/4 and 2/4

Which gives us 5 3/4

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2 years ago

Find the slope of the line that passes through the following points. Write "undefined" if the slope is undefined.

Katyanochek1 [597]

The slope of the line that passes through the following points is undefined

Solution:

Given that, We have to find the slope of line passing through two points

Given points are (-1, 5) and (-1, 6)

The slope of line is given by formula:

$m = \frac{y_2-y_1}{x_2-x_1}$

From given,

$(x_1, y_1) = (-1, 5)\\\\(x_2, y_2) = (-1, 6)$

Substituting the values we get,

$m = \frac{6-5}{-1-(-1)}\\\\m = \frac{1}{-1+1}\\\\m = \frac{1}{0}$

Thus the slope is undefined

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2 years ago

Write an equation perpendicular to the line y=3/2x-2 that goes through (-4,3)

Goryan [66]

Answer: y=-2/3x-2/3

Step-by-step explanation:

concept to know: two lines that are perpendicular has opposite reciprocal slopes.

y=-2/3x+b

in order to find b or the y-intercept, we need to plug in a point

3=-2/3(-4)+b

3=8/3+b

b=-2/3

y=-2/3x-2/3

Hope this helps!! :)

4 0

3 years ago