Answer:
see explanation
Step-by-step explanation:
(1)
Given
3(x + 3)² - 1 = - 13 ( add 1 to both sides )
3(x + 3)² = - 12 ( divide both sides by 3 )
(x + 3)² = - 4 ( take the square root of both sides )
x + 3 = ± 
= ± 2i ( subtract 3 from both sides )
x = - 3 ± 2i ← complex conjugate roots
(2)
Given
3x² - 12x + 27 = 0 ( subtract 27 from both sides )
3x² - 12x = - 27 ( divide through by 3 )
x² - 4x = - 9
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 2)x + 4 = - 9 + 4
(x - 2)² = - 5 ( take the square root of both sides )
x - 2 = ± 
= ± i
( add 2 to both sides )
x = 2 ± i ← complex conjugate roots
Answer:
75 feet
Step-by-step explanation:
the shadow to the object would be a 4:5 ratio
since the shadow of the flagpole is 60 ft,
4x=60 so x would =15
then you multiply 15 by 5 and end up with 75
The answer for this question is only one and three
Answer:
To find the constant of proportionality we use the formula k= y/x so we have k=20/500 =0.04
Step-by-step explanation:
Answer:
Step-by-step explanation:
No of men =14 :
No of women = 16
a) 4 members can be selected in 30C4 ways = 27405 ways
b) If one captain, one vice captain and one regular member.
We have 30 choices for captain, 29 for vice captain and 28 for regular member
no of groups
c) For one captain, 2 vice captains and one regular member
no of groups = 
d) Men's team 3 members can be selected in 14C3 ways
and women team 3 members can be selected in 17C3 ways
No of groups =
