Step-by-step explanation:
no, no, you use the equation to identify a, b and c.
then you use the formula with these values to get the solutions to the equation (the values of x for which the equation delivers 0).
always remember, a quadratic equation always has 2 solutions. sometimes at least one of them are not a real number, sometimes the 2 springs are equal, ...
x² - 4x - 2 = 0
a, b, c are the factors of the terms in x and the constant term.
so,
a = 1
b = -4
c = -2
x = (-b ± sqrt(b² - 4ac))/(2a)
x = (4 ± sqrt((-4)² - 4×1×-2))/(2×1) =
= (4 ± sqrt(16 + 8))/2 = (4 ± sqrt(24))/2 =
= (4 ± sqrt(4×6))/2 = (4 ± 2×sqrt(6)) / 2 =
= 2 ± sqrt(6)
x1 = 2 + sqrt(6)
x2 = 2 - sqrt(6)
Answer:
24
Step-by-step explanation:
The multiples of 8 are 8,16,24,32 etc. and the multiples of 6 are 6,12,18,24,30, ect. The answer is 24 because it is the lowest multiple of 6 that crosses with multiples of 8.
Answer:
22 laps
Step-by-step explanation:
Lisa swam 6 fewer laps than four times of Amanda's laps.
Hence, L = 4A - 6
Again, Brynne swam eight more than twice as many laps as Amanda.
Hence, B =2A + 8
If Lisa and Brynne swam the same amount of laps, then
L = B
⇒ 4A - 6 = 2A + 8
⇒ 2A = 14
⇒ A = 7 laps
So, B = 2A + 8 = 2(7) + 8 = 22 laps
Therefore, Brynne swam 22 laps. (Answer)
-12y + 27
So what you do is take the numbers outside the (parentheses) which in this case is -3 and then multiply it to positive 4y and -9 to get your answer!
Answer:
One example would be y = -3x
Step-by-step explanation:
We can more easily find a line parallel to the given equation if it is put in slope intercept form.
3y = -27 - 9x
y = -3x - 9
So the slope is -3. You can choose any line also with a slope of -3.
