Answer:
x = - 3 ± 3
Step-by-step explanation:
given the equation x² + 6x - 9 = 0
We can solve for x using the quadratic formula
x = ( - b ± 
) / 2a
with a = 1, b = 6 and c = - 9
x = ( - 6 ± 
) / 2
= ( - 6 ± 
) / 2
= ( - 6 ± 
) / 2
= ( - 6 ± 6 ) / 2
x = - 3 ± 3
Answer:
33°
Step-by-step explanation:
Where a transversal crosses parallel lines at right angles, all of the angles at their points of intersection are right angles.
__
Angles at U are right angles, congruent to ∠UXZ. So, acute angle UXW in right triangle UXW is the complement of acute angle UWX:
∠UXW = 90° -57° = 33°
The annual returns will be calculated as follows:
a] Here we use the formula:
A=p(1+r/100)^n
A=future amount
p=principle
r=returns
n=time
We are given:
A=500, p=400, t=1
Plugging the values in the formula we obtain:
500=400(1+r)^1
simplifying and solving for r:
1.25=1+r
thus
r=1.25-1
r=0.25~25%
b] Using the formula above:
A=p(1+r/100)^n
A=2500+100=2600, p=2000, n=1 year
plugging the values in the equation we obtain:
2600=2000(1+r)^1
simplifying and solving for r we obtain:
2600/2000=1+r
1.3=1+r
hence
r=1.3-1
r=0.3~30%
