Reduced by 55%
100=original
100-55=45
45% of oiriginal=29.99
percent means parts out of 100
45%=0.45
0.45 of original=29.99
divide both sides by 0.45
original=66.644444444444444444444444444444
round
$66.64 is original price
55 as 90-35=55. The angle marked indicates that the measure of a whole angle must be 90.
This form (x+b)²+c is a vertex form that can be found by completing square for the equation <span>x²+440x+440².
To complete square we will need to use formula a² +2ab + b² = (a+b)²
</span> x²+440x+440²,
<span>x² +2*220²x +220² -220² +440² (we added </span>220² -220², so nothing really changed here).
x² +2*220²x +220² -220² +440² ( here , bold part can be rewritten as (x+220)²)
(x+220)² -220² +440² (calculating bold part)<span>
</span>(x+220)² -220² +440² = (x+220)² + 145200
Now we have x²+440x+440², in the form that we need
x²+440x+440² = (x+220)² + 145200
(x+b)²+c = (x+220)² + 145200,
b=220,
c= 145200
So,
c/b = 145200/220 = 660
c/b = 660/1 (if you need it in a fraction form) or 660.
Answer:
a=-15
Step-by-step explanation:
