Answer:
15
Step-by-step explanation:
Let index 1 refer to the first point, while index 2 refers to the second one.
The distance d:
d²=(x2-x1)²+(y2-y1)²=(-5-7)³+(3-(-6))²=
(-12)²+9²=144+81=225=15²
d=15
Answer:
Every 1.71 seconds, the bacteria loses 
Step-by-step explanation:
Given

Required [Missing from the question]
Every __ seconds, the bacteria loses 
First, we model the function from t/3 to t.

Apply law of indices

Evaluate each exponent
--- This gives the number of bacteria at time t
At time 0, we have:



Let r be the time 1/2 disappears.
When 1/2 disappears, we have:



So, we have:

Substitute r for t

Substitute 

Divide both sides by 8500


Take log of both sides

Apply law of logarithm

Make r the subject



<em>Hence, it reduces by 1/2 after every 1.71 seconds</em>
Answer:
52/3
Step-by-step explanation:
Use basic Thales therom,

Cross multiply,
3*(5x-8)=4*(3x+7)
3*5x - 3*8 = 4*3x + 4*7
15x - 24 = 12x +28
Add 24 to both sides
15x = 12x + 28 + 24
15x = 12x + 52
Subtract 12x from both sides
15x-12x =52
3x = 52
Divide both sides by 3
x = 52/3
Answer:
B
Step-by-step explanation:
b/c the figure is right angle
Answer:
12(x+2)
Step-by-step explanation:
(2x^2+3x-8)+(3x^2+9x+17)-(5x^2-15)