I believe the answer is A
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)
so it is option B
Answer:
264 inches
Step-by-step explanation:
Let's start with the top cube.
We can figure out the volume by multiplying the length, width, and height. So for this problem, it will be 4x5x6. 4x5 is obviously 20, and 6x20 is 120. So the top cube is 120 in.
The bottom cube has the dimensions 4x6x6. I know 6x6 is 36. So 36x4 is 144.
So 120+144=264
Let me know if you have any questions!
7. The slope is the number with the x next to it, so it would be -6x
8. The y-Intercept is the number WITHOUT the x, in this case would be -5
9. You always want the equation to be in y = M(slope)x + b(y-intercept). Subtract 2x on both sides to get 4y = -2x + 12. Divide both sides by 4 to leave y by itself. That leaves us with y = -1/2 + 3
10. Same thing minus x on both sides to get -3y = -x + 6. And since you don’t want a negative y, you need to divide by a negative. Divide both sides by -3 to get y = 1/3 -2. When you divide a number by a negative, it changes the sign in front of the number.
Hope this helps!
Answer:
The answer is 5/3, 1 2/3, and 1.67
Step-by-step explanation:
The answer to this problem is simple as everything between the two lines will come out to be a positive. So the equation will end up coming out to be 3x+1+2=8.
Now we add the 1 and 2....
3x+3=8
To make this problems simple we can subtract the 3 from the left side and do the same on the right side making the equation say...
3x=5
Now we can make it easier to solve but it will not be a whole number. We now divide 3 from the left and right side leaving us with....
x = 5/3
So this answer could be 5/3 , 1 2/3, and 1.67
