Answer:
Step-by-step explanation:
To find the value of x, using Pythagorean theorem.
7) x² = 12² + 12²
= 144 + 144
= 288
x = √2*12*12
x = 12√2
8) x² + 9² = 18²
x² + 81 = 324
x² = 324 - 81
x² = 243
x = √3*9*9
x = 9√3
If it does not have 3 vertices, it is not a triangle.
The answer is 14 flies
1. Calculate the population of flies after 3 weeks without the spider: p(3)
2. Calculate the number of eaten flies by the spider after 3 weeks: s(3)
3. Subtract p(3) and s(3) to get the population of flies after three weeks with the introduced spider.
1. Calculate the population of flies after 3 weeks without the spider:
p(x) = 3(2)ˣ
x = 3 (because it is the period of three weeks)
⇒ p(3) = 3 · 2³ = 3 · 8
p(3) = 24
2. Calculate the number of eaten flies by the spider after 3 weeks:
s(x) = 2x + 4
x = 3 (because it is the period of three weeks)
⇒ s(3) = 2 · 3 + 4 = 6 + 4
s(3) = 10
3. Subtract p(3) and s(3) to get the population of flies after three weeks with the introduced spider:
p(3) - s(3) = 24 - 10 = 14
Therefore, there are 14 flies after three weeks with the introduced spider.
for this case we must write a proportion that shows the earnings obtained from Mrs. Miller for the sale of the house.
By making a rule of three we have:
179000 ------------> 100%
x -----------------------> 6%
Where "x" represents the gains obtained.
So:

Writing the proportion:

The earns were:

ANswer:

A
(X-7)(x-4) -> x^2 -11x + 28
Multiply that by the 2 and you get the original equation!