First, make all the denominators same.
Then calculate.
Hopefully this helps :D
Answer:
josh is 11 and billy is 15
Step-by-step explanation:
yooo
<h2>
Answer</h2>
After the dilation
around the center of dilation (2, -2), our triangle will have coordinates:



<h2>Explanation</h2>
First, we are going to translate the center of dilation to the origin. Since the center of dilation is (2, -2) we need to move two units to the left (-2) and two units up (2) to get to the origin. Therefore, our first partial rule will be:
→
Next, we are going to perform our dilation, so we are going to multiply our resulting point by the dilation factor
. Therefore our second partial rule will be:
→
→
Now, the only thing left to create our actual rule is going back from the origin to the original center of dilation, so we need to move two units to the right (2) and two units down (-2)
→
→
Now that we have our rule, we just need to apply it to each point of our triangle to perform the required dilation:













Now we can finally draw our triangle:
Answer:
5⁶⁴ = 152587890625⁴ bacteria's at 7 hours
Step-by-step explanation:
Simple..
it means the bacteria is increasing exponentially.
This is a geometric progression.
at 0 hrs = 0 bacteria
at 1 hr = 5 bacteria
at 2hr = 25 " = 5²
at 3hrs = 25 x 25 = 5² x 5² = 5⁴
at 4hrs = (25x25) x (25x25) = 5⁴x5⁴ = 5⁸
at 5hrs = (5⁸)² = 5⁸ˣ² = 5¹⁶
at 6 hrs = (5¹⁶)² = 5¹⁶ˣ²= 5³²
at 7 hrs = (5³²)² = 5³²ˣ² = 5⁶⁴
5⁶⁴ = 152587890625⁴
Answer:
His average speed was of 10.42 m/s
Step-by-step explanation:
We use the following relation to solve this question:

In which v is the velocity(in m/s), d is the distance(in meters), and t is the time, in seconds.
Usain Bolt of Jamaica set a world record in 2009 for the 200- meter dash with a time of 19.19 seconds.
This means that 
So his average speed was of:

His average speed was of 10.42 m/s