Answer:
x= 3±sqrt(15)
Step-by-step explanation:
x^2 -6x = 6
Take the coefficient of x
-6
Divide by 2
-6/2 = -3
Square it
(-3)^2 = 9
Add this to each side
x^2 -6x+9 = 6+9
(x-3)^2 = 15
Take the square root of each side
sqrt((x-3)^2) = ±sqrt(15)
x-3 = ±sqrt(15)
Add 3 to each side
x-3+3 = 3±sqrt(15)
x= 3±sqrt(15)
Answer:
Length is 3 meters and the Width is 5 meters
Step-by-step explanation:
L*W=15
L=2W-7
(2W-7)W=15
(2W+3)(W-5)=0, don't use (2W+3)=0, because it gives you a negative dimension.
W=5, L=3
All the triangles are similar, so you have ...
(short side)/(long side) = 3/(CD) = (CD)/12
Multiplying by 12(CD) gives
(CD)² = 3*12 = 36
CD = √36 = 6
The appropriate choice is ...
A) 6
Answer:
z ≥ −15
Step-by-step explanation:
5z ≥ −75
Divide each side by 5
5z/5 ≥ −75/5
z ≥ −15