Given
base=2x+6
height=x+4
and
area=56 square units
56=1/2 times (2x+6) times (x+4)
times bot sides by 2
112=(2x+6)(x+4)
expand
112=2x²+14x+24
divide both sides by 2
56=x²+7x+12
minus 56 both sides
0=x²+7x-44
factor
waht 2 numbers mulitply to get -44 and add to get 7
11 and -4
0=(x-4)(x+11)
set to 0
x-4=0
x=4
x+11=0
x=-11
false, measures can't be negative
x=4
height=x+4
height=4+4=8
base=2x+6
base=2(4)+6=8+6=14
x=4 and base=14 and height=8
For this case we have the following definition:
d = v * t
Where,
d: distance
v: speed
t: time
Clearing the time we have:
t = d / v
Substituting values:
t = 1505/420
t = 3,583 hours
Answer:
Flight time hours:
t = 3,583 hours
Please use " ^ " to denote exponentiation:
<span>f(x) = –(x + 8)^2 – 1
Find the first derivative: f '(x) = -2(x+8)(1)
Set this = to 0: -2(x+8) = 0
solve for x: x = -8
Divide the number line into subintervals based upon x=-8:
(-inf, -8) and (-8, inf)
Choose a test value for x from each interval, e. g., -10 from the first interval and 20 from the second.
Subst. this test value into the derivative, shown above.
If the result is + the function is incr on that interval; if - the fn. is decr.
Questions welcome!</span>
2 root 10 bfngjtejrahtwhw
The answer is both sets of statistics give the same information:
First, find the mean: 2 • 5 = 10, 3 • 4 = 12, and 10 • 1 = 10
10 + 12 + 10 = 32
Ten dots altogether : 32 ÷ 10 = 3.2
Mean = 3.2
Second, find the median: 2, 2, 2, 2, 2, 3, 3, 3, 3, 10
2, 2, 2, 2, <em>2, 3,</em> 3, 3, 3, 10
2 + 3 = 5
5 / 2 = 2.5
Median - 2.5
