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: 15/24
Step-by-step explanation: 6x4=24 which is the denominator and 5x3=15 which is the numerator
This question needs more information. So what if a diagram shows an 8 foot ladder leaning against a wall?
Answer:
yes and no
Step-by-step explanation:
Thus, the ratios 6 : 8 and 12 : 16 are equal. Therefore, they form a proportion. Thus, the ratios 24 : 28 and 36 : 48 are unequal. Therefore, they do not form a proportion.
Answer:
2A/h = b
Step-by-step explanation:
The formula for area of a triangle is
A = 1/2 bh
Multiply each side by 2
2A = 2*1/2 bh
2A = bh
Divide each side by h
2A/h = bh/h
2A/h = b
