Answer:
the roots are n = 1 + √15 and n = 1 - √15
Step-by-step explanation:
In this case I would immediately rewrite n² - 2n - 5 = 10 as
n² - 2n = 10 + 5 = 15.
To complete the square: Identify the coefficient of n (it is -2). Halve that, obtaining -1, square this result, and then add the outcome (1) to and subtract the outcome (1) to n² - 2n:
n² - 2n <em>+ 1 - 1 </em> = 15
Next, rewrite n² - 2n + 1 as the square of a binomial:
(n - 1)² = 15
Finally, take the square root of both sides:
n - 1 = ±√15
so that the roots are n = 1 + √15 and n = 1 - √15
I would convert them all to the denominator 16, due to the smallest fraction and all of them can be converted to it.
1 = 16/16
1/2 = 8/16
1/4 = 4/16
1/8 = 2/16
1/16 = 1/16
1+ 2 + 4 + 8 + 16 = 31
31/16 = 1 15/16
Hope this helps!
Answer:
use a ruler
or
buy a graph
Step-by-step explanation:
Not the best answer tho... becuase this useless Mod deleted all my answers randomly
Value of x is 11
Step-by-step explanation:
- Step 1: Find x when ΔABC ≅ ΔDEC.
When these two triangles are congruent, their corresponding angles and sides will be equal.
⇒ ∠B = ∠E
⇒ 44° = 4x
∴ x = 44/4 = 11
Answer:
There is a 3/20 chance that a red plastic marble will be taken out on random.
Step-by-step explanation:
This is because there are 14 yellow marbles, and 6 red marbles. Along with this, half of the red marbles are made out of plastic. This leaves 3/6 of the red marbles made out of plastic. When combined with the yellow marbles, you'll add 14 to the denominator, since there are 14 yellow marbles. (Red + Yellow = Total Number Of Marbles) This leads to a total count of 3 marbles of the 20 total marbles, being red and made out of plastic.
