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Elodia [21]
2 years ago
13

Lamar is solving the equation x2−12x=−6 by completing the square. Which shows Lamar's next step and the solution to the equation

?
Step 1: x^2 - 12x = -6

Step 2: x^2 - 12x + 36= -6 + 36
Mathematics
1 answer:
Levart [38]2 years ago
4 0
Completing the square is a process to find the solutions, or the x-values, to a quadratic equation. This method can only work if it is in the format: x^2 + bx = c
In this equation, the b value is -12 and the c value is -6. The process for completing the square goes like this:

x^2 + bx + (b/2)^2 = c + (b/2)^2

Now let’s solve the equation above using this method.

Step 1: x^2 - 12x + (-12/2)^2 = -6 + (-12/2)^2

Step 2: x^2 - 12x + (-6)^2 = -6 + (-6)^2

Step 3: x^2 - 12x + 36 = -6 + 36

Step 4: x^2 - 12x + 36 = 30

Now, to factor it. After doing the process until now, the left side of the equation can ALWAYS be in the format: (x + a)^2

Step 5: x^2 - 12x + 36 can be factored in this format as (x - 6)^2

Step 6: (x - 6)^2 = 30

Step 7: x - 6 = √30

Step 8: x = 6 ±√30

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Please help! I've been working on this for a few days and I just don't understand, it's due in a few hours. Thank you.
never [62]

Answer:

Part A: α = arc tan (y/x) = tan⁻¹ (y/x)

Part B: quadrant II α = arc tan (- y/x) = arc (- tan (y/x)) = - tan⁻¹ (y/x) 180°>α>90°

            quadrant III α = arc tan (-y)/(-x) = arc tan (y/x) = tan⁻¹ (y/x) 270°>α>180°

            quadrant IV α = arc tan (- y/x) = arc (- tan (y/x)) = - tan⁻¹ (y/x) 360°>α>270°

Part C: quadrant II 180°>α>90°  α = tan⁻¹ (-6/1) = - tan⁻¹ 6 = 180° - 80.53° = 99.47°

Step-by-step explanation:

PART A:

In this case we will use trigonometric function tanα to calculate angle α:

tanα = y/x => α = arc tan (y/x) = tan⁻¹ (y/x)

This formula is use in general way and in first quadrant  90°>α>0°

Part B:

But in the other quadrants you must know to use unit circle to reduce angle from II, III and IV quadrant to the first quadrant.

If angle is in the quadrant II  180°>α>90° then

tanα = - tan (180°-α)

If angle is in the quadrant III  270°>α>180° then

tanα = tan (α-180°)

If angle is in the quadrant IV  360°>α>270° then

tanα =- tan (360°-α)

Part C:

vector w (x,y) = (-1,6) this vector lies in quadrant II      180°>α>90°

180°- α = tan⁻¹ (-6/1) = - tan⁻¹ 6 = 80.53°  => 180° - α = 80.53°

α = 180° - 80.53 = 99.47°

It's not easy to understand this, but it's not easy for me to explain.

God with you!!!

5 0
2 years ago
Solve 2 3/4a=19 1/4
melamori03 [73]
2 3/4a=19 1/4
÷2 3/4    ÷2 3/4
a=1/7
8 0
3 years ago
Read 2 more answers
Kevin is twice as old as Sean. Together their ages add up to 75.
marissa [1.9K]

Answer:

Kevin would be 50 and Sean would be 25

Step-by-step explanation:

Assuming that there is no other information given,

and Kevin is twice as old as sean, and they gotta add up to 75 total

50 + 25 = 75

25x2 = 50

Hope this helped!

8 0
3 years ago
Read 2 more answers
The cost to purchase a song from website 1 is $0.30 per song and a $5 membership fee. To purchase a song from website 2 there is
pashok25 [27]

Answer:

I belive the answer is 20 songs.

Step-by-step explanation:

The equation you're looking for to solve this is

0.30x+5=0.20x+7

Then, you would solve for x in order to get 20.

5 0
3 years ago
Who can Help???
rosijanka [135]









I'm not the best at writing, but I can try. so here's an idea:you can have as your scenario something like "On a vase shaped like a rectangular prism is a flower. Knowing that the stem of the flower is the diagonal of the prism, the diagonal of the base is 18 and the sinus of the angle between the stem and the diagonal(of the base) is 4/5, find the stem's length and the height of the vase"
8 0
3 years ago
Read 2 more answers
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