Answer:
(4.5, 6)
Step-by-step explanation:
The midpoint is the average of the end points:
((8, 2) +(1, 10))/2 = (8+1, 2+10)/2 = (9, 12)/2 = (4.5, 6)
The midpoint is (4.5, 6).
Answer:
B, C, E
Step-by-step explanation:
E - rotated version of A
B and C - scaled version
not sure if I got the definition of similar right, so please let me know
Answer:
(0, 3)
Step-by-step explanation:
If a point O(x, y) divides a line XY in the ratio n:m with , the coordinates of O is:
AC is 6 times AB, this means that point B, divides line AC in the ratio 1:5. Given A at (1,5) and C at (-5, -7)
Let us assume B to be at (x, y), hence:
Therefore the location of B is (0, 3)
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Answer:
y : x: = 5 : 4
Step-by-step explanation:
x to y = 4 to 5
Rewrite;
x:y = 4:5
Remember, a ratio is another way of representing a fraction, hence one can do the same operations that one could do with a fraction. Therefore, one can take the cross products of a ratio;
x : y= 4 : 5
5x = 4y
Inverse operations;
5x = 4y
x = y
Now substitute this into the equation y:x
y : y
Rewrite as a fraction;
Simplify;
Rewrite as a ratio;
y : x = 5 : 4