Get into form a(x-h)²+k
complete the square
-3x²-18x-31
group x terms
(-3x²-18x)-31
undistribute the -3
-3(x²+6x)-31
take 1/2 of the linear coefient (6) and squaer it
6/2=3, 3²=9
add positive and negative of it inside parenthasees
-3(x²+6x+9-9)-31
complete the square
-3((x+3)²-9)-31
expand
-3(x+3)²+27-31
-3(x+3)²-4 is vertex form
Answer:
Step-by-step explanation:
<u>Since ΔFHG ≅ QRC, the corresponding angles are congruent:</u>
- ∠F = ∠Q
- (2x + 10)° = (3x + 1)°
- 3x - 2x = (10 - 1)°
- x = 9°
<u>Then, the angle Q measures:</u>
Answer: B C E F
Step-by-step explanation:
A is wrong as it should be the other way around
B is right
C is right
D is wrong as Natural numbers is a subset of rational numbers
E is correct
F is correct
Original bill is 100%/20% *5.8=29
(dollars)