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Leokris [45]
3 years ago
8

Question 4 5 pts For the equation: -k - 4k = 3 (k – 10) - 6 (k - 6), what is the value of k?​

Mathematics
1 answer:
Alla [95]3 years ago
3 0
<h2>Answer:</h2>

<em>K </em>= -3

<h2>Step-by-step explanation:</h2>

1. Simplify <em>-k-4k to -5k</em>

-5k=3(k-10)-6(k-6)

2. Distribute Parentheses/Expand

-5k=3k-30-6k+36

3.Simplify 3k-30-6k+36 to -3k +6

-5k=-3k+6

4. Add 3k to both sides

-5k+3k=6

5. Simplify -5k+3k to -2k

-2k=6

6. Divide both sides by -2

k=-6/2

7. Simplify 6/2 to 3

k=-3

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The sketch of the parabola is attached below

We have the focus (a,b) = (2, -0.5)
The point P(x,y)
The directrix, c at y=-1.5

The steps to find the equation of the parabola are as follows

Step 1
Find the distance between the focus and the point P using Pythagoras. We have two coordinates; (2, -0.5) and (x,y).
We need the vertical and horizontal distances to find the hypotenuse (the diagram is shown in the second diagram).
The distance between the focus and point P is given by
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Step 2
Find the distance between the point P to the directrix c. It is a vertical distance between y and c, expressed as y-c

Step 3
The equation of parabola is then given as 
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