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:
the answer is 97 if you're rounding but 99 if you want exactly 95
Step-by-step explanation:
if you add all the previous grades up it'll add up to 376 and then when you add 97 and then divide it by 5 (the total amount of assignments) it'll add up to 94.6 which rounds up to a 95 unless you want it a 95 exactly which would probably be 99
Other Federalists claimed that the new government could not violate the people's rights because it only had limited powers. However, most state legislatures refused to ratify the Constitution without the Bill of Rights being added to the document.
By definition, the number is the ratio between the circumference and the diameter:
This implies that
And so your circumference is
Presumably we're being asked for the line which passes through (3,5) and (-1,5) which is simply