Answer:
Consider this: factors that are the same that are in the numerator and denominator of a fraction cancel out.
e.g. 20/30 = [2(10)]/[3(10)] = 2/3 This is because the 10 present in the numerator exactly equals the 10 present in the denominator.
We can use the above principle for these types of problems!
If the projectile is fired at 422 mi/hr, and we want to convert this speed into m/s, we just need to go through the following process:
422 mi/hr * 1610m/1mi * 1hr/60min * 1min/60s = 189 m/s
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let the number of hours Nick does the job alone to be x - 3 hours
Hence, in 1 hour, Nick has done 1/x - 3
Together they complete the job in 9 hours
Hence, let's represent the job as 1
9/x + 9/x - 3 = 1
Multiply through by (x)(x-3)
9(x- 3) + 9(x) = 1
9x - 27 + 9x = (x)(x-3)
-27 = x² - 3x
x² - 3x +27 = 0
This is not mathematics but ok......
soliloquy is when someone on stage speaks to them self as if thinking in their mind, expressing their thoughts and emotions, conveying them to the audience.
Start at -8 move to the left 8 more times,. You get -16.
Answer:
k = 5
Step-by-step explanation:
I will assume that your polynomial is
x^2 - 3x^2 + kx + 14
If x - a is a factor of this polynomial, then a is a root.
Use synthetic division to divide (x - 2) into x^2 - 3x^2 + kx + 14:
2 / 1 -3 k 14
2 -2 2k - 4
-------------------------------------
1 -1 (k - 2) 2k - 10
If 2 is a root (if x - 2 is a factor), then the remainder must be zero.
Setting 2k - 10 = to zero, we get k = 5.
The value of k is 5 and the polynomial is x^2 - 3x^2 + 5x + 14
