Given:
Three equations are
Three solutions are .
To find:
The solution of each equation from the given solutions.
Solution:
We have,
Using distributive property, we get
Isolate variable terms.
Divide both sides by 6.
Similarly,
Now,
Therefore, the solutions of given equations , and are x=-1, x=-2 and x=1 respectively.
Answer:
Solution : 6 + 6i
Step-by-step explanation:
This is the expression we have to solve for. Now normally we could directly apply trivial identities and convert this into standard complex form, but as the expression is too large, it would be easier to convert into trigonometric form first ----- ( 1 )
( Multiply both expressions )
( Simplify for both and )
=
( Substitute )
Now that we have this in trigonometric form, let's convert into standard form by applying the following identities ----- ( 2 )
sin(π / 4) = √2 / 2 = cos(π / 4)
( Substitute )
= =
= =
= - Therefore our solution is option a.
Answer:
Explanation:
Flip Equation
ntw = v
Divide both sides by 'nt'
ntw / nt = v / nt
MASS*GRAV*HEIGHT=PE
MASS=3
GRAV=9.8
HEIGHT=4.5
3*9.8*4.5=132.3
POTENTIAL ENERGY= 132.3
Let's find the total cost before the tax and tip.
14+16+2*1.25+2*4.25 = $41
The tip is added before the tax so let's calculate it first.
1.15 * 41 = $47.15
Now add the 7% tax.
1.07 * 47.15 = $50.45