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natima [27]
3 years ago
6

The variables x and y vary directly. Use the given values to write an equation that relates x and y: x = 4, y = -16

Mathematics
1 answer:
Gnesinka [82]3 years ago
4 0

Vary Directly: y = k*x

Vary Inversely:  y = k/x

Because x and y vary directly, our equation will look like the first one.

y = k*x

With the inputted values:

-16 = k * 4

Now, to find k, isolate the variable

k = -16/4 = -4

Your final equation will then look like this:

y = -4 * x

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Question 12(Multiple Choice Worth 1 points)
daser333 [38]

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

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7 0
9 months ago
Write 30,000,000,000 + 300,000 + 20,000 + 4 in standard form
Kryger [21]
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Identify the inverse g(x) of the given relation f(x).
Leno4ka [110]

Answer:

g(x) = {(3, 8), (1, 4), (-1,0), (-3, 4);

Step-by-step explanation:

Recall and use the fact that, the domain of a relation becomes the range of its inverse and vice-versa.

Base on the possible answers ,the given relation is f(x) = {(8,3), (4, 1), (0, -1), (4,-3)}

To find an inverse relation for f(x), we need to swap the x and y coordinates of f(x).

The inverse of f(x) will have the ordered pairs: (3,8),(1,4),(-1,0),(-3,-4)

Therefore the correct choice is g(x) = {(3, 8), (1, 4), (-1,0), (-3, 4);

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The rectangular walkway will be 3 feet wide and 18 feet long. each 2-foot by 3-foot stone covers an area of 6 square feet. how m
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3x18=54sq ft
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How many times does six go into 420
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