Answer:
I AM GROOT I AM GROOT
Step-by-step explanation:
Answer:
9 thousandths
Step-by-step explanation:
3 is tenths
5 is hundredths
9 is thousandths
First, make a equation in which r= red and b=blue.
So, since in the first box it has 4 red models and one blue model equaling 12,
the first equation looks like 4r+b=12.
The second equation looks like 2r+b=8.
What you would do is try and first solve for r by getting rid of b.
Since both equation has a positive b, you would make one equation have a negative b by multiplying the whole equation by -1.
-1*(2r+b=8)= -2r-b=-8
Add.
4r+b=12
+(-2r-b=-8)
2r=4
r=2
Then, you plug in 2 for the r for any of the original equations.
4(2)+b=12
8+b=12
b=4
or
2(2)+b=8
4+b=8
b=4
So, the red models weigh 2 pounds while the blue models weigh 4.
Answer:
A. ![y=-\dfrac{8}{7}x-\dfrac{18}{7}](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B8%7D%7B7%7Dx-%5Cdfrac%7B18%7D%7B7%7D)
Step-by-step explanation:
Let
be the equation of the perpendicular line.
Two perpendicular lines have slopes with product equal to -1. The slope of the given line is
Hence,
![\dfrac{7}{8}\cdot m=-1\\ \\m=-\dfrac{8}{7}](https://tex.z-dn.net/?f=%5Cdfrac%7B7%7D%7B8%7D%5Ccdot%20m%3D-1%5C%5C%20%5C%5Cm%3D-%5Cdfrac%7B8%7D%7B7%7D)
is the slope of needed line.
This line passes through the point (-4,2), so its coordinates satisfy the equation:
![2=-\dfrac{8}{7}\cdot (-4)+b\\ \\b=2-\dfrac{32}{7}=-\dfrac{18}{7}](https://tex.z-dn.net/?f=2%3D-%5Cdfrac%7B8%7D%7B7%7D%5Ccdot%20%28-4%29%2Bb%5C%5C%20%5C%5Cb%3D2-%5Cdfrac%7B32%7D%7B7%7D%3D-%5Cdfrac%7B18%7D%7B7%7D)
Therefore, the equation of the line is
![y=-\dfrac{8}{7}x-\dfrac{18}{7}](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B8%7D%7B7%7Dx-%5Cdfrac%7B18%7D%7B7%7D)
To calculate the velocity, we use the given expression above which is <span>s(t) = −16t^2 + 144. First, we calculate the time it takes to reach the ground. Then, differentiate the expression and substitute time to the differentiated expression.
</span>s(t) = −16t^2 + 144
0 = -16t^2 + 144
t = 3
s'(t) = v = -32t
v = -32(3)
v = -96
Note: negative sign signifies that the object is going down