Answer:
Step-by-step explanation:
The distance formula states that the distance between two points 
and 
is 
.
The two points we have are 
and 
. Plugging these numbers into the distance formula, we have
.
Simplifying with order of operations, first using the distributive property, gives
.
Squaring and adding gives
which is the answer in simplest form. This also rounds to about 12.04.
Answer:
<em>4.52secs</em>
Step-by-step explanation:
Given the height of a falling object expressed as;
d=3t+5t^2
If the object travel 84 feet, we are to find the time t it takes to travel. On substituting;
84 = 3t+5t^2
3t+5t^2 - 84 = 0
t = -5±√25-4(3)(-84)/2(3)
t = -5±√25+1008/6
t = -5±32.14/6
t = -5+32.14/6
t = 27.14/6
<em>t = 4.52 secs</em>
<em>Hence it will take 4.52secs for the object to travel 84feet</em>
52.35 ft^2
1/2times 9.2 times 11.9 times sin(27)
Answer:
-2 > x < 2
Step-by-step explanation:
Given that:
2x + 6 > 2
Subtracting 6 from both sides:
2x + 6 -6 > 2-6
2x > -4
Dividing by 2 on both sides:
x > -2
For second equation:
5x< 6 + 2x
Subtracting 2x from both sides:
5x - 2x < 6 + 2x -2x
3x < 6
Dividing by 3 on both sides:
x < 2
Result: -2 > x < 2
Answer:
48
Step-by-step explanation:
Evaluate g(6) then substitute the value obtained into h(x)
g(6) = 3(6) - 1 = 18 - 1 = 17, then
h(17) = 3(17) - 3 = 51 - 3 = 48
