Answer:
(2w-1)/5+w+2=2w
We simplify the equation to the form, which is simple to understand
(2w-1)/5+w+2=2w
Reorder the terms in parentheses
( + 0.4w-0.2)+w+2=2w
Remove unnecessary parentheses
+ 0.4w-0.2+w+2=2w
We move all terms containing w to the left and all other terms to the right.
+ 0.4w+1w-2w=0.2-2
We simplify left and right side of the equation.
-0.6w=-1.8
We divide both sides of the equation by -0.6 to get w.
w=3
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given



<em>Translation: 3 units left and 1 unit right</em>
Required
Determine the new coordinates of B
Write out the coordinates of B


When a function is shifted to the left, we have to subtract the unit from the x value of the function;
<em>Shifting by 3 units left, the new x becomes </em>
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When a function is shifted upward, we have to add the unit to the y value of the function;
<em>Shifting by 1 unit up, the new y becomes </em>


Hence, the new coordinates of B is

Answer:
Step-by-step explanation:
hello :
z⁴=1+i given : z² = t t is the complex number so : z⁴= (z²)² =t²
solve for t this equation : t² = 1+i
if : t = x+iy t² =(x+iy)² = x²+2xiy+(iy)² =x²-y²+2xyi ...... ( i² = -1)
t² = 1+i means : x²-y²+2xyi = 1+i
you have this system : x²-y² = 1.....(*)
2xy = 1.....(**)
slve for x and y you ca add this equation : ....(***)
( use : t² = 1+i
/t²/ = /1+i/ so :/t/² = /1+i/ .... (√(x²+y²))²=√(1²+1²) =√2 means x²+y² = √2)
the system is : x²-y² = 1.....(*)
2xy = 1.....(**)
x²+y² = √2 ....(***)
add (*) and (***) : 2x²= 1+√2
x² = (√2+1)/2
substrac (*) and (***) you have : y² = (√2-1)/2
use (**) the proudect xy is positif (same sign) so :
x=√( (√2+1)/2) and y = √( (√2-1)/2) so : t1 =√( (√2+1)/2)+i√( (√2-1)/2)
x= -√( (√2+1)/2) and y = -√( (√2-1)/2) so :t2= -t1
same method for equation : z² =t1 ..(2 solution ) and z² = t2..(2 solution )
Answer:
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Found this online :)
X^2 - 8x-9=0
D = b^2- 4*a*c = 64- 4* (-9) = 64+36=100 =10^2
X1 = (8-10)/2 = -1
X2= (8+10)/2= 9