Answer:
i. 
+ 26x + 144 - 299 = 0
ii. x = 5
Step-by-step explanation:
The area of the figure = 299 cm²
The figure has a shape of a rectangle, so that;
Area of rectangle = length x width
length of the figure = 18 + x
width of the figure = 8 + x
Area of the figure = (18 + x) x (8 + x)
299 = (18 + x) x (8 + x)
299 = + 26x + 144
+ 26x + 144 - 299 = 0
+ 26x - 155 = 0
applying the trigonometric formula;
x = (-b ± 
) ÷ 2a
= (-26 ± 
) ÷ 2
= (-26 ± 
) ÷ 2
= (-26 ± 
) ÷ 2
= (-26 ± 36) ÷ 2
x = (-26 + 36) ÷ 2 OR x = (-26 -36) ÷ 2
= 10 ÷ 2 OR -62 ÷ 2
= 5 OR -31
Thus, x = 5
Exponentially growth.
Let’s say one person starts with the flu. After the first day, there are suddenly
1 x 2 = 4 people sick
And the rest of the days just explode in magnitude:
Day 2: 1 x 2 x 2 = 8 people sick
Day 3: 1 x 2 x 2 x 2 = 16 people sick
Day 4: 1 x 2 x 2 x 2 x 2 = 32 people sick
Etc.
You can rewrite all that repeated multiplication as *exponents*, which is why we call it exponential growth.
Day 1: 1 x 2^1 = 4
Day 2: 1 x 2^2 = 8
Day 3: 1 x 2^3 = 16
And after n days, 1 x 2^n - or just 2^n - people would be sick.
Using proportions, it is found that the differential equation which describes the growth of the pigeon population is given by:
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, considering the initial population and the population one week later, the rate of growth is given by:
k = 9/6 = 1.5.
The standard differential equation for population growth is:
Hence:
More can be learned about proportions at brainly.com/question/24372153
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Answer:
x = 6 cm
Step-by-step explanation:
Given ratio of sides of similar figures = a : b , then
ratio of areas = a² : b²
Here ratio of areas = 5 : 45 = 1 : 9 , so
ratio of sides = 
: 
= 1 : 3
Thus side of B is 3 times side of A
x = 3 × 2 = 6 cm
