Answer:
Step-by-step explanation:
<u>Simplify:</u>
- √5(√8 + √18) =
- √5*8 + √5*18 =
- √40 + √90 =
- √4*10 + √9*10 =
- 2√10 + 3√10 =
- (2 + 3)√10 =
- 5√10
<u>The value of a:</u>
Cos m = .4685
cos^-1(.4685) = 62 degrees
angle L = 180-90-62 = 28 degrees
It's a 2nd degree algebraic expression in ' y '.
It's pretty messy in this form, and it can be substantially cleaned up.
Looking at just the second term, we can remove the parentheses:
3 (4y² - 2) = 12y² - 6
Now we can put that into the original expression ... 3y² + 12y² - 6
then combine the y² terms: <em>15y² - 6</em> .
If you want to go one step farther, we can factor it: <em>3(5y² - 2) </em>
The factorised form of k2 - 17 k + 16
= the third one ...
(k-1)(k-16)
because the two numbers in the brackets, -1 and -16, must add to give the middle number of the quadratic, -17, and must multiply to give the integer on the right, 16,
