Answer:
In standard form it is x^4 - 12x^3y + 54x^2y^2 - 108x y^3 + 81y^4.
Step-by-step explanation:
(3y)^4 + 4C1(3y)^3(-x) + 4C2(3y)^2(-x)^2 + 4C3(3y)(-x)^3 + (-x)^4
= 81y^4 - 108y^3x + 54y^2x^2 - 12yx^3 + x^4
Answer:
Step-by-step explanation:
√20=√5*2*2
√20=2√5
Answer:
55.96 miles
Step-by-step explanation:
Distance = Speed X time
Car first moved east for 1 hr , distance = 40 x 1 = 40 miles
Car then moved north-east for 30 min, distance = 40 x 0.5 = 20 miles
From trigonometry,
sin 45 = 
; y = 20 sin 45 ; y= 14.14 miles
cos 45 = 
; x = 20 cos 45 ; x = 14.14 miles
using Pythagoras theorem;
= 
+ 
= 
+ 
= 3131.08
= 
z = 55.96 miles
Answer:
Kelly will still have more money than Luis
Kelly will have 25% more
Step-by-step explanation:
Let x represent the amount of money Kelly has and y, Luis
Luis has $40
and Kelly has 50% more money than Luis
Therefore, Kelly has;
50% of $40 + $40
= 0.5*40 + 40
= $60
If Luis gets $8 more, Luis will have;
$8 + $40 = $48
since Luis' $48 is less than Kelly's $60, Kelly will still have more money than Luis
Difference in their money = $60 - $48 = $12
Therefore, Kelly will have;
12/48 * 100 more than Luis
= 25% more
Answer:
If x is 2, then the function returns x squared or 4.
Step-by-step explanation:
