the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
and to get it, we simply need two points off of the straight line, hmm let's use the ones in the picture below.
Answer: 36
Step-by-step explanation:
By the triangle midsegment theorem, CE=16, CD=10, and ED=10.
So, the perimeter of triangle CDE is 10+10+16=<u>36</u>
Answer:
Initial bacterias = 6006000
Altought I believe is safe to assume that the values were 192,000 and 384,000 instead of 192,192,000 and 384,384,000, in that case the initial bacterias is 6000
Step-by-step explanation:
A exponential growth follows this formula:
Bacterias = C*rⁿ
C the initial amount
r the growth rate
n the number of time intervals
Bacterias (55 hours) = 192,192,000
Bacterias (66 hours) = 384,384,000
If you divide both you can get the growth rate:
So with that r = 2 and each time interval correspond to 11 years
Then replacing in one you can get the initial amount of C
We know the width of the rectangle in the middle of the trapezoid is 24 (from the top of the image), so we can subtract that from the bottom width of the trapezoid to get the combined length of the bottom of both triangles.
Since this is an isosceles trapezoid, both triangle bases are the same length, so we can cut this value in half to get the length of and
Finally, we can use the Pythagorean Theorem to find the length of :