2x^2+20x=-38 divide both sides by 2
x^2+10x=-19, halve the linear coefficient, square it, than add that value to both sides of the equation, in this case add (10/2)^2=25...
x^2+10x+25=6 now the left side is a perfect square
(x+5)^2=6 take the square root of both sides
x+5=±√6 subtract 5 from both sides
x=-5±√6 (so answer c.)
Answer Yes it is a fair game
Step-by-step explanation:
Answer:
south
Step-by-step explanation:
it’s half way turn because 180 is half of one 360 and north is right across from south:)
Answer:
1
4
9
16
25
36
49
64
81
100
Step-by-step explanation:
1 = 1²
4 = 2 x 2 = 2²
9 = 3 x 3 = 3²
16 = 4 x 4 = 4²
25 = 5 x 5 = 5²
36 = 6 x 6 = 6²
49 = 7 x 7 = 7²
64 = 8 x 8 = 8²
81 = 9 x 9 = 9²
100 = 10 x 10 = 10²
<span>Answer:
Roma Sherry drove 330 miles from her hometown to Tucson. During her return trip, she was able to increase her speed by 11 mph. If her return trip took 1 hour less time, find her original speed and her speed returning home.
:
Let s = original speed
then
(s+11) = return speed
:
Write a time equation: Time = distance%2Fspeed
:
Original time = return time + 1 hr
330%2Fs = 330%2F%28%28s%2B11%29%29 + 1
:
Multiply equation by s(s+11) and you have:
330(s+11) = 330s + s(s+11)
:
330s + 3630 = 330s + s^2 + 11s
:
0 = 330s - 330s + s^2 + 11s - 3630
:
A quadratic equation:
s^2 + 11s - 3630 = 0
Factor this to:
(s + 66)(s - 55) = 0
Positive solution
s = 55 mph is original speed.
:
Find the time
330/55 = 6 hr, original time
and
330/66 = 5 hrs, faster time; confirms our solution.</span>
