Because of the symmetry of the parabola, its stationary point will always be in the middle of its x-intercepts (or zeroes). ...
Answer:
No solution
Step-by-step explanation:
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:
<em>The sales of ice lollies increased by 76 units between February and August</em>
Step-by-step explanation:
<u>Graph Reading</u>
Line graphs are visual ways of representing two or more data sets and their interrelation.
Graphs are pictures that show how one variable changes in relation to another.
Learning to properly read graphs is a matter of interpreting which pieces of information are useful.
The graph (in the red drawing) shows how sales of ice lollies changed in time. By February, the sales were about 4 units and by August sales were up to 80 units.
This means an increase of 80 - 4 = 76 units.
The sales of ice lollies increased by 76 units between February and August
Answer:
3) 5 centimeters
Step-by-step explanation:
Plug 3 and 4 into the formula for the Pythagorean Theorem. You get 5.
