6 sec can take penny to strike the ground.
Solution:
Given data:
feet
feet

Re-arrange the terms from greatest degree to smallest degree.

We can solve it by applying quadratic formula,

Here a = –16, b = 48, c = 288




Now, write find two t's using plus and minus operation.


t = –3 (or) t = 6
We cannot write time is negative. so neglect t = –3.
Therefore t = 6.
Hence 6 sec can take penny to strike the ground.
Answer:
1.5 inches/ week
Step-by-step explanation
Given
Height of he plant = 3in
If the plant grows by 2in every week
The rate of change = Height of plant/weekly increase
The rate of change = 3/2 = 1.5 inches/ week
First subtract 3 from both sides of the equal sign.
9s + 3 = 57
- 3 -3
9s = 54
Then divide both sides by 9.
9s = 54
/9 /9
s = 6
You can check it by plugging it back into the equation.
9s + 3 = 57
9 * 6 + 3= 57
54 + 3 = 37
57 = 57
Yep! It's correct! :)
Hope that helped. Algebra can be tricky sometimes I know but it's really just balancing equations.
Answer:
y= -3/2x+9
Step-by-step explanation:
Well we have to know that to find a line perpendicular to a given line, you have to have opposite slopes. So that makes the equation begin as y=-3/2x because it's opposite of y=2/3x. Then we have to make sure it goes through the point (4,3). To do that, I tweaked the numbers in my graphing calculator and it worked with 9! So the equation is y= -3/2x+9