Use the process of elimination.
There is a positive b value and a negative c value, which means that there is a negative factor and positive factor. This eliminates A and C.
Multiply out the factors in B and D:
B
(6d - 1)(2d + 1)
6d * 2d = 12d^2
6d * 1 = 6d
2d * -1 = -2d
12d^2 + 4d - 1
D
(6d + 1)(2d - 1)
6d * 2d = 12d^2
6d * -1 = -6d
2d * 1 = 2d
12d^2 - 4d - 1
The answer is B.
Answer: 7/12
the LCM IS<u> 7/12 </u>
THE LEAST COMMON MULTIPLE OR LCM OF TWO OR MORE NON-ZERO NUMBERS IS THE SMALLEST WHOLE NUMBER THAT IS DIVIDED BY EACH OF THOSE NUMBERS. IN OTHER TERMS,THE LCM IS THE SMALLEST NUMBER THAT ALL OF THE NUMBERS DIVIDE INTO EVENLY
Answer:
D
Step-by-step explanation:
If you look at the centerand radius of a circle (those are the two most important things when defining a circle), you will see, they shrank by a factor of two, so since it affected both x and y, it had to be from the origin.
Answer:
( x+1)^2 = 4
Step-by-step explanation:
x^2+2x-3=0
Add 3 to each side
x^2 +2x = 3
Take the coefficient of x
2
Divide by 2
2/2 =1
Square it
1^2 =1
Add to each side
x^2 +2x = 3
x^2 + 2x+1 = 3+1
( x+1)^2 = 4
Take the square root of each side
x+1 = ±2
Subtract 1 from each side
x+1-1 = -1 ±2
x = -1+2 x = -1-2
x =1 x = -3
Answer:
the mistake they made was the wrong offset from point (0,0) into the y direction. the incline of the line was correct.
the correct equation is y = 1/2×x - 2, because this line contains both points (4,0) and (0,-2)
Step-by-step explanation:
we are looking for a line equation
y = a×x + b
the 2 points give us 2 equations to solve for the 2 variables a and b :
0 = a×4 + b
-2 = a×0 + b
=> b = -2
=> -b = a×4, => a = -b/4 = 2/4 = 1/2
so, the right equation for the line going through both points is
y = 1/2×x - 2
the difference to the original equation is simply the offset from the x- axis in the y direction.
the original equation would be parallel to the correct equation but hit the y-axis at (0,4) instead of (0,-2), and it would hit the x-axis at (-8,0) instead of (4,0)