Add the equations. What value belongs in the green box? 3x + 2y = 9 -x - 2y = 4 [?] + [?] = [?] A. 4x B. 2x C. -3x D. -2x
1 answer:
Consider the first blank is the green box.
Given:
The equations are
To find:
The value belongs in the green box
Solution:
We have,
...(i)
...(ii)
Adding (i) and (ii), we get
So, the value for the first black is 2x. It means the value belongs in the green box is 2x.
The values of three blanks are 2x, 0 and 13 respectively.
Therefore, the correct option is B.
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Answer:
.
Step-by-step explanation:
Let and
denote the two endpoints.
The formula for the midpoint of these two points would be:
.
(Similar to taking the average of each coordinate.)
In this question, it is given that whereas
. Substitute these two values into the expression for the coordinate of the midpoint:
-coordinate of the midpoint:
.
-coordinate of the midpoint:
.
Solve these two equations for and
:
whereas
.
Hence, the coordinate of the other point would be .