Answer:
Part a. 1400 unit²
Part b 1240 unit²
Part c 1333.33 unit²
Step-by-step explanation:
The given function is 20·x - x²
Part a.
The dimensions of the five rectangles are;
20 × 20 + 20 × 18 + 20 × 16 + 20 × 10 + 20 × 6 = 1400 unit²
Part b.
The dimensions of the ten rectangles are;
10×20 + 10×18 + 10×16 + 10×16 + 10×14 + 10×12 + 10 × 10 + 10 × 8 + 10 × 6 + 10 ×4 = 1240 unit²
Part c.
To find the area with an infinite number of rectangles, we can use limits similar to integration;

Which gives;
10×20^2 - (20^3)/3 = 4000/3 = 1333.3333
A. -3/7 because parallel lines always have the same slope
Answer:
the first function is correct
The first one is 10k²-7k-6
The second answer is 8k²-26k+18
Answer:
X = 1
Step-by-step explanation:
To solve the system of equation by susbtitution:
3x + y = 9
y = –4x + 10
We can follow the steps thus:
<em />
<em>Substitute the value of y in the first equation:</em>
As in the second equation y = -4x + 10 we can substitute in the first equation as follows:
3x + y = 9
3x + -4x + 10 = 9
<em>Combine like terms: </em>
3x + -4x + 10 = 9
Like therms are the therms with X (3x - 4x = -1x):
-1x + 10 = 9
<em>Apply the subtraction property of equality: </em>
-1x + 10 = 9
As 10 is suming, it passes to subtracting the 9:
-1x = 9 - 10
-1x = -1
<em>Apply the division property of equality:</em>
-1x = -1
Dividing in -1:
x = -1 / -1
<h3>X = 1</h3>