<em>If the radius of a sphere is doubled, the surface area becomes four times the original surface area.</em>
Answer:
Step-by-step explanation:
Using the midpoint formula, the coordinates of 
are 
.
You are given a table in which each row represents the coordinates of points. For example, in the first line, we have x=-7 and y=5. Work through the four given equations, one at a time, subbing -7 for x and 5 for y; is the equation still true? If yes, then you have found the correct answer. B is the exception; I'd suggest you check out equations A, C and D first, before focusing on B.
Example: D: (5)-5 = 2((-7) + 7) leads to 0 = 0. Is that true? If so, D is likely the correct answer.
The distance formula is: d = sqrt( (x2 - x1)2 + (y2 - y1)2 )
For this problem, let (-5, -4) be the "first" point, so x1 = -5 and y2 = -4
and let (-6, 4) be the "second" point, so x2 = -6 and y2 = 4.
Then: d = sqrt( (-6 - -5)2 + (4 - -4)2 ) = sqrt( (-1)2 + (8)2 ) = sqrt( 1 + 64 ) = sqrt( 65)
The distance formula is just the Pythagorean Theorem applied to an x-y graph.
You would get the same final answer if you let (-5, -4) be the second point and (-6, 4) be the first point.
Answer:
x = 11 and 
Step-by-step explanation:
If LMNO is a parallelogram then it's opposite sides will be equal.
So, LM = ON
⇒ 4x + 4 = 5x - 7
⇒ x = 11
Now, MN = OL
⇒ x - 7 = 3y - 4
⇒ 11 - 7 = 3y - 4 {Since we already have, x = 11}
⇒ (Answer)
