If we have 2 coordinates say: (x1,y1) and (x2,y2)
Then the formula for the midpoint is:
((x1+x2)/2,(y1+y2)/2)
And the formula for the distance is:
Sqrt((x2-x1)^2+(y2-y1)^2)
So here we have (-1,-4) and (-7,4)
The midpoint is:
((-1+-7)/2,(-4+4)/2) = (-8/2,0/2) = (-4,0)
The distance is:
Sqrt((-7- -1)^2+(4- -4)^2)
= sqrt((-6^2)+(8^2))
=sqrt(36+64)
=sqrt(100)
=10
Answer:
55˚
Step-by-step explanation:
1. ∡135˚ = 180-135=45˚
2. p=180-80-45
3. p=55˚
Answer:
8 cm
Step-by-step explanation:
... BO/OD = AO/OC = 3/1
Written another way, this is ...
... OD : BO = 1 : 3
Now, BD = OD + BO, so we have
... BD : BO = (OD +BO) : BO = (1 +3) : 3 = 4 : 3
That is, BD = 4/3 × BO
... BD = 4/3 × 6 cm = 8 cm
Surprise! It turns out that the answer is 1.
Why?!!??!
Notice this pattern when working with powers of 2:
2^0 2^1 2^2 2^3 2^4
? 2 4 8 16
Every time we increase the power we multiply by 2. Or reading the pattern backwards, every time we decrease the power we divide by 2. What is 2 divided by 2? It is 1! So 2^0 = 1 to finish the pattern:
2^0 2^1 2^2 2^3 2^4
1 2 4 8 16
Try it with 3 or with 5 or with any number! You'll see that the pattern holds!
