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>
Answer:
you can figure out the exterior angle if you add the two angles that are not touching it
Step-by-step explanation:
so 64 + 76 = 140
K=140
Answer:
the equation is x + 2x + 2x + 7 = 327
or 5x + 7 = 327
x = 64
Trisha has 135 votes.
Step-by-step explanation:
Jill has x votes.
If Morgan got twice as many votes as Jill, then Morgan has
2 times the number of votes
or 2x
Trisha won the election with 7 more votes than Morgan's, so we add 7 to this amount
2x + 7
So assuming Jill, Morgan, and Trisha are the only three candidates:
then x + 2x + 2x + 7 = 327
Combine like terms
5x + 7 = 327
Subtract 7 from both sides
5x = 320
x = 64
Check answer for x:
64 + 2(64) + 2(64) + 7 = 64 + 128 + 128 + 7 = 327
So Trisha has
2x + 7 = 2(64) + 7 = 128 + 7 = 135 votes
Answer:
Given lines are PERPENDICULAR to each other.
Step-by-step explanation:
We have the equations, and
The slope-intercept form of a straight line is 'y=mx+b', where m is the slope and b is the y-intercept.
So, accordingly we get that,
The given equations have slopes and .
As we see that,
Thus, the product of the slopes of the given lines is -1.
Hence, the given lines are PERPENDICULAR to each other.
Answer:
4
Step-by-step explanation: