Middle school math! I actually know how to teach differential calculus to middle schoolers, but I wouldn't start with this example, where we're gonna have to integrate eventually.
We have

We have an odd mix of s and t on the right, which means this probably was an implicit derivative to begin with. In other words, instead of s as a function of t, we have some equation of s and t that is satisfied.
We move the variables to their respective sides

Integrating,

We only need one constant of integration.
I won't bother to write the square root. This is choice D.
Answer:
3 3/16
Step-by-step explanation:
1 1/16+1 3/16+15/16=3 3/16
Answer:
The dimensions of the screen are
Length:102 feet
Width: 82 feet
Step-by-step explanation:
we know that
The area of the rectangle (movie screen) is equal to

where
L is the length
W is the width
we have

so
----> equation A
The screen is 20 feet longer than it is wide.
so
---> equation B
substitute equation B in equation A

solve for W

solve the quadratic equation by graphing
the solution is W=82 ft
see the attached figure
Find the value of L

therefore
The dimensions of the screen are
Length:102 feet
Width: 82 feet
Answer:
#9 slope is -2, y int is 3
#10 slope is 3/4, y int is 0
Answer:
y = -28 ÷ x
Step-by-step explanation:
The standard format of a inversely proportional equation goes by the format of y = k ÷ x. The question asks us to write an equation if y = 7 when x = -4 and y varies inversely with x.
So we substitute the values y = 7 and x = -4 in the equation y = k ÷ x
K = constant, we have to work this out
7 = k ÷ -4
7 × - 4 = k
k = - 4 × 7
k = -28
k = -28 So then we put this back into the original y = k ÷ x to find our final equation which is y = -28 ÷ x