Answer:
Rounding it to two decimal places, we get distance, 
Step-by-step explanation:
Given:
The two points are 
The distance between the two points can be obtained using the distance formula which is given as:

Here, for the points, 

Therefore, the distance between the points is:

Rounding it to two decimal places, we get 
Answer + Step-by-step explanation:
the inequality by finding the boundary line, then shading the appropriate area.
y > − 5/2x − 5
(anything in shaded region)
Answer:
3x−4y=9 −3x+2y=9
Add these equations to eliminate x: −2y=18
Then solve−2y=18
for y: −2y=18 −2y −2 = 18 −2 (Divide both sides by -2)
y=−9
Now that we've found y let's plug it back in to solve for x.
Write down an original equation: 3x−4y=9
Substitute−9for y in 3x−4y=9: 3x−(4)(−9)=9
3x+36=9(Simplify both sides of the equation)
3x+36+−36=9+−36(Add -36 to both sides)
3x=−27 3x 3 = −27 3 (Divide both sides by 3) x=−9
Answer: x=−9 and y=−9
Hope This Helps!!!
Answer:
Center (4, -13)
Radius = 17
Step-by-step explanation:
Circle equation: 
(h, k) is the center of the circle and the r is the radius.

h = 4, k = -13, r = 17
Answer:
The population of bacteria after 6 days is 2,313.06
Step-by-step explanation:
Given as :
The initial population of bacteria = i = 1,000 bacteria
The growth rate of bacteria per day = 15%
Let The population of bacteria after 6 days = f
The time period of growth = 6 days
<u>Now, According to question</u>
The population of bacteria after 6 days = initial population × 
Or, f = i × 
Or, f = 1000 × 
Or, f = 1000 × 
Or, f = 1000 × 2.31306
∴ f = 2,313.06
So,The population of bacteria after 6 days = f = 2,313.06
Hence,The population of bacteria after 6 days is 2,313.06 Answer