Answer:
A. 7.07 units
Step-by-step explanation:
Use the distance formula for coordinates:
Fill in the coordinates accordingly:
which simplifies down to
which is of course
Plug that into your calculator and you'll get the answer
Answer:
Enlargement? or try Translation
Answer:
37.52 million
Step-by-step explanation:
using,
A = A'(1+R/100)ⁿ............................. equation 1
Where A = population size in 2015, A' = Initial population, R = rate in percentage, n = number of times between 2010 and 2015.
Given: A' =35.7 million, R = 1%, n = 5.
Substitute these values into equation 1
A = 35.7(1+0.01)⁵
A = 37.52 million.
Hence the size of the population of the country in the year 2015 is 37.52 million
Answer:
Step-by-step explanation:
Convert 6 hours to minutes so that 6 hours and 16. 3 minutes can be in the same units.
Since 1 hour = 60 minutes, then 6 hours = 6 x 60 minutes = 360 minutes
Since the insect has more minutes to crawl (360 minutes), then we expect more inches to be covered. Therefore, the ratio is 360 minutes to 16.3 minutes
= 360 minutes : 16.3 minutes
= 360 : 16.3
Now express the ratio as fraction and relate it with 30 inches
= 360/16.3 x 30/1
= 10800/16.3
= 662 .576687 and this is approximately 650 inches
Answer = 650 = (C)
Answer:
Step-by-step explanation:
A ' = (-2, -3)
B ' = (0, -3)
C ' = (-1, 1)
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Explanation:
To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.
Algebraically, the reflection rule used can be written as
Applying this rule to the three given points will mean....
Point A = (-2, 3) becomes A ' = (-2, -3)
Point B = (0, 3) becomes B ' = (0, -3)
Point C = (-1, -1) becomes C ' = (-1, 1)
The diagram is provided below.
Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.
