Answer: The distance is sqrt(40).
Step-by-step explanation:
Let's use the Pythagorean Theorem (a^2 + b^2 = c^2)
(Look at the image I attached)
Let's set a = 2 and b = 6. The mystery side is c, which is opposite to the right angle that is formed when you draw perpendicular lines from each of the points.
(2)^2 + (6)^2 = c^2 <--- First, we need to simplify
4 + 36 = c^2
40 = c^2 <--- Now, we need to take the square root of both sides.
c = sqrt(40)
So, the distance between (5, -4) and (-1, -2) is sqrt(40). I recommend looking at some videos on Khan Academy if you need more help! Let me know if you want me to attach a link that you can visit.
Answer:
Bob could predict a <u>100%</u>, as if he has studied for a long time, and has learnt the content, he should be able to get 100%!
Dy/dx=2x+2
So velocity will be zero when 2x+2=0, x=-1
Since d2y/dx2=2, it has a constant positive acceleration of 2, so that when dy/dx=0 it is at an absolute minimum value for f(x), which is also the vertex.
y(-1)=1-2+3=2
So the vertex is at (-1,2), which is an absolute minimum so the parabola opens upwards.
And by symmetry we can say that f(0)=f(-2)=3 so you have another two points that you can see (-2,3) and (0,3)
Answer: 45
Step-by-step explanation:
In 2016, 1 out of every 5 people under the age of 50 used a cell phone to read e-books. This means that 2 out of every 10 people under the age of 50 used a cell phone to read e-books. Also, 3 out of every 15 people under the age of 50 used a cell phone to read e-books.
Therefore, if there were x people under the age of 50 in 2016, then the number that used a cell phone to read e-books would be
1/5 × x = x/5
If there were approximately 225 million people under the age of 50 in 2016, then the number that were likely to have read an e-book on a cell phone is
225/5 = 45 people.
Answer:
62.8 inches
Step-by-step explanation:
c = πd
c = 3.14 * 20
c = 62.8 inches
