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kakasveta [241]
10 months ago
7

Question 12(Multiple Choice Worth 1 points)

Mathematics
1 answer:
daser333 [38]10 months ago
7 0

The equation of a line is y=-1/4x-7, (option 1)

<h3>What is the equation of a line? </h3>

A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis.

<h3>How do you find the equation of a line?</h3>

Write the equation in the form y = mx + b to find the slope m and the y-intercept. This will allow you to graph the equation using the slope and y-intercept.

Given:-

Equation of the line is y=4x+8 

The point through which the line passes (-8,4).

here the slope of the line is m1=4

To find the perpendicular line we know the formula

m1*m2=-1

By putting the value of m1 we get m2= -1/4

By using the one-point formula of the line we have

=>(y-y1)=m2*(x-x1)

By putting the values of y1 and x1 we get

(y1,x1)=(-8,4)

=>(y+8)=-0.25*(x-4)

y+0.25x+7=0

Hence the desired equation of the line is y=-1/4x-7

To find more about the straight line equations visit :

brainly.com/question/25969846

#SPJ1

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Answer:

The Correct option is C. Addition Property of Equality.

For above Equation by Elimination we use

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Step-by-step explanation:

Given:

Addition Property of Equality :

The property that states that if you add the same number to both sides of an equation, the sides remain equal (i.e., the equation continues to be true.)

Here equation is given as

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  + 5x   -   4y    =   -30

-------------------------------------

                 8x    =   8

------------------------------------

Here +4y and -4y gets cancelled or becomes 0 hence 8x = 8.

For above Equation by Elimination we use

Addition Property of equality

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The correct answer is option B which is  Cot\theta=\dfrac{24}{7}.

<h3>What is trigonometry?</h3>

Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.

Given that:-

Sec\theta=\dfrac{25}{24}

The value of cot theta will be calculated as:-

We know that sec theta is the ratio of hypotenuse and base and cot theta is the ratio of base and perpendicular so we will find the value of perpendicular by applying the Pythagorean theorem.

H² = P²  +  B²
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Now the value of cot theta will be calculated as:-

Cot\theta =\dfrac{B}{P}=\dfrac{24}{7}

Therefore the correct answer is option B which is  Cot\theta=\dfrac{24}{7}.

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