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
If you are trying to find the plot you go up as meany numbers as it says and then go over as meany numbers as it says.
Your answer would be
A. Adding 7x to both sides of the equation
And in doing so, you'd start your first step to having "like terms" on "like sides"
by having all "x's" on the right side of your equivalent sign "="
Answer:
They'll meet after 200 meters , if they simultaneously start running towards each other.
Step-by-step explanation:
Let x =distance travelled by dog and 200-x be the distance travelled by cat. Inorder to meet, the sum of their travelled distances shall be equal to 200 meters as they are far apart by 200 meters.
Dog: Distance =Speed x time: x=30t
Cat: Distance = 200-x
=24t
The sum of their distance travelled shall be 200 meters: 30t+ 24t= 200;54t=200;t=200/54=3.7secs
So they will meet after 3.7 seconds
To check:
Distance travelled by dog :x=30(3.7)
=111.11 meters
Distance travelled by cat: 24t=24(3.7)
=88.89 meters
Therefore since they are travelling towards each other and their distance apart is 200 meters, after 3.7 seconds they will meet because dog travelled 111.11 meters and cat travelled 88.89 meters and they covered already 200 meters as the sum of 111.11+ 88.89
=200 meters
Answer:
First answer is correct.
Step-by-step explanation:
