This looks like an addition (summation is the technical term) series. Here we need to figure out the difference between each number in the series. The difference between 6.75 and 9.25 is 2.5 (You can subtract the larger number from the smaller number to find out). So, 6.75-2.5=4.25.
So the correct answer in the blank is 4.25, and the rule is +2.5.
Answer:

Step-by-step explanation:
First, we see that the center of the circle is (-12, 5) by taking the midpoint of the circle. Secondly, the length of diameter is
.
Formula for the area of a triangle is 1/2bh
b=distance between the two points you gave.
distance between (4,3) and (-1,3) is 5.
1/2 * 5 * h = 15 square units
2.5 * h = 15 square units
h=6
This means the right triangle can be any point that is 6 units higher or lower than the two points you gave.
One of the answers to the question is (4,9). This is because the y value for the point (4,3) was changed by 6. Another possible answer is (4,-3) since distance cannot be negative, so it is still 6 units away from the point (4,3)
To find the third answer add 6 to the y value of (-1,3). The fourth answer can be found by subtracting 6 from the y value of (1,-3). Hope this helps.
Answer:
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Step-by-step explanation:
The answer to your problem is A