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julsineya [31]
3 years ago
10

Find an equation of the line perpendicular to the graph.

Mathematics
1 answer:
topjm [15]3 years ago
8 0

Answer:

The equation of the line would be y = -1/4x + 2

Step-by-step explanation:

In order to solve this, start by finding the slope of the original line. You can do this by solving for y.

28x - 7y = 9

-7y = -28x + 9

y = 4x - 9/7

Now that we have a slope of 4, we know that the perpendicular slope is -1/4 (since perpendicular lines have opposite and reciprocal slopes). We can use this and the new point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 1 = -1/4(x - 4)

y - 1 = 1/4x + 1

y = -1/4x + 2



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jasmine bought wax that will cover 400 square feet per gallon. jasmine needs to wax 4704 square foot surface with 2 coats of wax
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Answer:

24

Step-by-step explanation:

400 × 12 = 4,800

4,800 needed for ONE coat.

Since you need TWO coats, double 12, then you should get 24.

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2 years ago
Let $f(x) = x^2 + 4x - 31$. for what value of $a$ is there exactly one real value of $x$ such that $f(x) = a$?
enot [183]

To solve for this, we need to find for the value of x when the 1st derivative of the equation is equal to zero (or at the extrema point).

So what we have to do first is to derive the given equation:

f (x) = x^2 + 4 x – 31

 

Taking the first derivative f’ (x):

f’ (x) = 2 x + 4

 

Setting f’ (x) = 0 and find for x:

2 x + 4 = 0

x = - 2

 

Therefore the value of a is:

a = f (-2)

a = (-2)^2 + 4 (-2) – 31

a = 4 – 8 – 31

a = - 35

7 0
3 years ago
PLEASE SOMEONE HELP ME!!! I'm stuck on this problem!!! (THE DIRECTION IS ---"Find the area of the figure")
svetlana [45]
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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