Answer: √
145 or 12.04159457 for the decimal ways try 12
Step-by-step explanation: 12.0415945787923
Midpoint (−2,−9.5)
Slope −0.0833333333333333
x intercept −116.00
y intercept −9.67
Answer:
21 1/3 inches
Step-by-step explanation:
Inverse variation means that when the frequency goes up by a factor of 576/256 = 9/4, the length of the string goes down by a factor that is the inverse of that, 4/9.
4/9·48 inches = 21 1/3 inches
Answer:
380.832 pounds Approximately
Step-by-step explanation:
1 foot of water = 62.428 pounds (62.43)
6.1* 62.43= 380.832
Each of these roots can be expressed as a binomial:
(x+1)=0, which solves to -1
(x-3)=0, which solves to 3
(x-3i)=0 which solves to 3i
(x+3i)=0, which solves to -3i
There are four roots, so our final equation will have x^4 as the least degree
Multiply them together. I'll multiply the i binomials first:
(x-3i)(x+3i) = x²+3ix-3ix-9i²
x²-9i²
x²+9 [since i²=-1]
Now I'll multiply the first two binomials together:
(x+1)(x-3) = x²-3x+x-3
x²-2x-3
Lastly, we'll multiply the two derived terms together:
(x²+9)(x²-2x-3) [from the binomial, I'll distribute the first term, then the second term, and I'll stack them so we can simply add like terms together]
x^4 -2x³-3x²
<u> +9x²-18x-27</u>
x^4-2x³+6x²-18x-27
