Answer:
(2, 2)
Step-by-step explanation:
Plotting the points, it should be obvious where the fourth corner needs to be: (2, 2).
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When the sides of the square are parallel to the axes, as here, each x-coordinate will appear twice, as will each y-coordinate. The ones in the list of given points that appear only once are x=2, y=2, so those are the coordinates of the missing point.
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The two points that make up a diagonal of the square are (0, 2) and (2, 0). The missing point is the sum of these less the remaining point:
(0, 2) + (2, 0) - (0, 0) = (2, 2)
This is because the midpoints of the diagonals are the same point, hence the sums of endpoints of the diagonals are the same.
Answer
Midpoint = (3, 5.5)
Step by step explanation
Here we have to use the midpoint formula.
Midpoint = ( )
Here the point A = (-1, 8) and B = (7, 3)
x1 = -1, y1 = 8, x2 = 7 and y2 = 3
Now plug in these values into the formula.
Midpoint = (
= (6/2, 11/2)
= (3, 5.5)
Therefore, the midpoint the line segment AB is (3, 5.5)
Thank you.
Answer:
325
Step-by-step explanation:
You must have heard about Arithmetic Progressions (AP)
Arithmetic progressions are a series of numbers such that every successive number is the sum of a constant number and the previous number.
Our very own counting numbers form AP
For example :-
2 = 1 + <u>1</u>
3 = 2 + <u>1</u>
4 = 3 + <u>1</u>
The number in bold (1) is that constant number which is added to a number to form its successive number.
To find the sum of series forming AP, we use the formula :-
here,
So we'll use all this information to find the sum of continuous numbers from 1 to 25 where 1 is the first term(a) and 25 is the last(an).
and n is 25
So, the value of S comes out to be 325.