Answer:
see explanation
Step-by-step explanation:
using the trigonometric identities
• sin2x = 2sinxcosx
• cos2x = 2cos²x - 1
• sin²x + cos²x = 1
sinx = ±
= ±
= ±
= ± = ±
since sinΘ > 0 then sinΘ = =
sin2Θ = 2 × × - = -
cos2Θ = 2 × (- )² - 1
= 2 × - 1
= - 1 = =
For y=x^2-6x-11
complete the square
so roots
set y=0
0=x^2-6x-11
group x terms
0=(x^2-6x)-11
take 1/2 of linear coefient (-6) and square it
-6/2=-3, (-3)^2=9
add positive and neative to inside of parenthasees
0=(x^2-6x+9-9)-11
complete square
0=((x-3)^2-9)-11
expand
0=(x-3)^2-9-11
0=(x-3)^2-20
add 20 to both sides
20=(x-3)^2
sqrt both sides
remember positive and negative roots
+/-2√5=x-3
add 3 to both sides
3+/-2√5=x
so
x=3+2√5 and 3-2√5
Answer:
13 gal < 55 quarts
Step-by-step explanation:
There are approx 4 quarts in 1 gallon
Therefore, 13 gallons = 13 x 4 = 52 quarts
52 < 55
So 13 gal < 55 quarts
Answer:
3*3*5*7
Step-by-step explanation:
hope it helps you out
please mark brainiest