Answer:
First tangent line:
Second tangent line:
Notice: slope of -1 means that both 
are equal to -1, so 
Answer:
The length of AA' = √29 = 5.39
Step-by-step explanation:
* Lets revise how to find the length of a line joining between
any two points in the coordinates system
- If point A is (x1 , y1) and point B is (x2 , y2)
- The length of AB segment √[(x2 - x1)² + (y2 - y1)²]
* Lets use this rule to solve the problem
∵ Point A is (0 , 0)
∵ Point A' = (5 , 2)
∵ (x2 - x1)² = (5 - 0)² = 5² = 25
∵ (y2 - y1)² = (2 - 0)² = 2² = 4
∴ The length of AA' = √(25 + 4) = √29 = 5.39
Let us assume the initial number of bacteria in the culture = xAfter 1 hour,The number of bacteria = 185x/100 = 1.85xAfter 2 hours,The number of bacteria = (185 * 1.85x)/100 = 3.42xSo3.42x = 12500x = 12500/3.42 = 3654.97 = 3655From the above deduction, we can conclude that the initial number of bacteria in the culture is 3655.
Answer: Area of sidewalk is 217m²
Step-by-step explanation:
The formula for determining the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circle
π is a constant whose value is 3.14
A circular flower bed is 20 meters in diameter.
radius = diameter/2 = 20/2 = 10 meters
Area of the flower bed = 3.14 × 10²
= 314m²
The circular flower bed has a circular sidewalk around it that is 3 meters wide. This means that the total diameter would be
3 + 20 + 3 = 26m
Radius = 26!2 = 13m
Total area = 3.14 × 13² = 530.66m²
Therefore, area of the sidewalk is
530.66 - 314 = 216.66
The area of sidewalk is 217m² to the nearest whole number
Answer:
Check.
Step-by-step explanation:
To prove it we need to know that for two matrices A and B we have that:
det(AB) = det(A)*det(B) and 
. Now:
.
