Answer:
look at the pictures
Step-by-step explanation:
Answer:
hope it is helpful to you
Answer:
Step-by-step explanation:
2x^2+8x-12=0
with form
ax^2+bx+c=0
move c to the other side
2x^2+8x=12
x^2 is multiplied -> divide equation by 2
x^2+4x=6
complete square:
divide b=4 by 2
4*1/2=2
square 2
2^2=4
add 4 to both sides
x^2+4x=6
x^2+4x+4=6+4
x^2+4x+4=10
transform to polynom
(x+2)^2=10
this left side is option B multiplied by a factor of 16 and therefore equal:
(4x + 8)^2
(4*4)x^2+(4*2*8)x+8*8
16x^2+64x+64
x^2+4+4
bonus: calculate root
x+2=+/-sqrt(10)
x=-2+/-sqrt(10)
<h2 /><h2>so it is option B</h2>
- <em>2x^2 + 8x - 12 = 0..divide by 2</em>
- <em>x^2 + 4x - 6 = 0</em>
- <em>x^2 + 4x = 6...add 4 to both sides of the equation</em>
- <em>x^2 + 4x + 4 = 6 + 4</em>
- <em>(x + 2)^2 = 10....<== ur constant is 10</em>
- <em>x + 2 = (+-)sqrt 10</em>
- <em>x = -2 (+ - ) sqrt 10</em>
- <em></em>
- <em>x = -2 + sqrt 10</em>
- <em>x = -2 - sqrt 10</em>
- <em></em>
- <em></em>
- <em></em>
Parallel: the lines have = slopes. We thus need 5/6 to equal 2/p. then 5p must equal 12, and p = 12/5. (answer)
Check: Is 5/6 = 2 / (12/5)? YES
Perp.: The lines have slopes that are negative reciprocals of one another.
Then -6/5 = 2/p, or
-6 2
---- = ----
5 p Thus, -6p = 10, and p = -5/3 (answer)
Answer:
6r + 6
Step-by-step explanation:
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