Answer:
1024ft
Step-by-step explanation:
height of building = 624ft
h(t) = -16t^2 + 160t + 624
To find the, use -b/2a
a = -16, b = 160, c = 624
t = -160/ 2(-16)
t = -160 / -32
t = 5secs
The object will reach it's highest point after 5 seconds.
To find the highest point the object reaches, put t = 5 in h(t)
= -16(5)^2 + 160(5) + 624
= -16(25) + 800 + 624
= -400 + 800 + 624
= 400 + 624
= 1024ft
Answer:
Two lines are parallel when they share the same slope.
Step-by-step explanation:
Two lines are parallel when they share the same slope.
The slope-intercept form of the equation of a line is: y=mx + b, where 'm' is the slope and 'b' the y-intercept.
If two equations have the same value for 'm', then those lines are parallel, for example:
y = 3x + 8 (Red line)
y = 3x + 5 (Blue line)
y = 3x - 10 (Green line)
All the equations stated above are parallel, to show that, I'm attaching the graph of the equations :).
Answer: 720 brushes decrease by 25% = 540
Step-by-step explanation:
25% of 720 is 180
180 multiplied by 4 = 720
take away 180 from 720 = 540
Answer:
x = sqrt(3)/5 - 9/5 or x = -9/5 - sqrt(3)/5
Step-by-step explanation by completing the square:
Solve for x over the real numbers:
4 (5 x + 9)^2 - 33 = -21
Add 33 to both sides:
4 (5 x + 9)^2 = 12
Divide both sides by 4:
(5 x + 9)^2 = 3
Take the square root of both sides:
5 x + 9 = sqrt(3) or 5 x + 9 = -sqrt(3)
Subtract 9 from both sides:
5 x = sqrt(3) - 9 or 5 x + 9 = -sqrt(3)
Divide both sides by 5:
x = sqrt(3)/5 - 9/5 or 5 x + 9 = -sqrt(3)
Subtract 9 from both sides:
x = sqrt(3)/5 - 9/5 or 5 x = -9 - sqrt(3)
Divide both sides by 5:
Answer: x = sqrt(3)/5 - 9/5 or x = -9/5 - sqrt(3)/5
The answer is 828282827337829245902637