-2x -9y = -25
-(-4x -9y =-23)
2x = -2
x = -1
-2(-1) -9y = -25
2 - 9y = -25
-9y = -25 -2
-9y = -27
y = 3
(-1,3)
If |x|=3, x can be either 3 or -3
The length of the radius of circle o is 18 cm.
<h2>
</h2><h2>
Given that</h2>
Circle o has a circumference of 36π cm.
<h3>
We have to determine</h3>
What is the length of the radius, r?
<h3>According to the question</h3>
Circle o has a circumference of 36π cm.
The length of the radius of the circle is determined by the following formula;

Substitute all the values in the formula;

Hence, the length of the radius of circle o is 18 cm.
To know more about Circumference click the link given below.
brainly.com/question/4268218
Answer: 25 tables.
Step-by-step explanation:
5 • 10*2= 500 (10*2= 100, then 100 times 5)
2 • 10*1= 20 (10*1= 10, then times 2)
Therefore a cafeteria can seat 500 students. Each table had 20 seats.
Divide 500/20 and get 25.
Hope this helps
Note: The first file attached contains the clear and complete question
Answer:
a) The times at which the graph of A(t) has horizontal tangent are t = 1 and t = 7
A(t) has a local maximum at t=7
A(t) has a local minimum at t=1
b) The times at which the graph of D(t) has horizontal tangent are t = 1.59 and t = 7.74
D(t) has a local maximum at t=1.59
D(t) has a local minimum at t=7.74
c) A(t) = (-t^3) + 8(t^2) -21t + 40
d) The water level in vat A is rising most rapidly at t = 4 hrs
e) 138 gallons
f) 18 gallons per hour
g) 98 gallons
Step-by-step explanation:
For clarity and easiness of expression, the calculations are handwritten and attached as files below.
Each step is neatly expressed and solutions to each part of the question are clearly written