Let's solve the equation 2k^2 = 9 + 3k
First, subtract each side by (9+3k) to get 0 on the right side of the equation
2k^2 = 9 + 3k
2k^2 - (9+3k) = 9+3k - (9+3k)
2k^2 - 9 - 3k = 9 + 3k - 9 - 3k
2k^2 - 3k - 9 = 0
As you see, we got a quadratic equation of general form ax^2 + bx + c, in which a = 2, b= -3, and c = -9.
Δ = b^2 - 4ac
Δ = (-3)^2 - 4 (2)(-9)
Δ<u /> = 9 + 72
Δ<u /> = 81
Δ<u />>0 so the equation got 2 real solutions:
k = (-b + √Δ)/2a = (-(-3) + √<u />81) / 2*2 = (3+9)/4 = 12/4 = 3
AND
k = (-b -√Δ)/2a = (-(-3) - √<u />81)/2*2 = (3-9)/4 = -6/4 = -3/2
So the solutions to 2k^2 = 9+3k are k=3 and k=-3/2
A rational number is either an integer number, or a decimal number that got a definitive number of digits after the decimal point.
3 is an integer number, so it's rational.
-3/2 = -1.5, and -1.5 got a definitive number of digit after the decimal point, so it's rational.
So 2k^2 = 9 + 3k have two rational solutions (Option B).
Hope this Helps! :)
Answer:
56.
Step-by-step explanation:
= -(8-12)+60+(-4)*2
= -(-4)+60+(-4)*2
= 4+60+(-4)*2
= 4+60+-4*2
= 4+60-4*2
= 4+60-8
= 64-8
= 56
The answer would be 7 the two parenthesis become a positive
If you are converting, make the denomenator 100 for fractions or look at 2 decimal places for decimals. if you want to find a certain percentage for a total, make the total of the item 100% and from there find 1% and multiply to the wanted percentage
Answer:
21
Step-by-step explanation:
Since this is an equilateral triangle, all sides are equal.
3x-6 = 2x+3
Move like terms to one side
x = 9
Now we plug 9 back in for x
2(9) + 3
=18 + 3
=21
