Answer: option d. C (0,3), D (0,5).
Justification:
1) The x - coordinates of the vertices A and B are shown in the diagrama, They are both - 4, so the new vertices C and D must be in a line parallel to y = - 4.
2) The y-coordinates of the vertices A and B are also shown in the diagrama. They are equal to 3 and 5 respectively.
3) We can see that the new points C and D must be over a parallel line to y = - 4 and that their distance to the points A and B has to be the same distance of the point R and S to U and T.
That distance is 4, so the line may be y = - 7 or y = 0.
4) If the line is y = 7 the points C and D would have coordinates (-7,3) and (-7,5), but this points are not among the options.
5) If the line is y = 0 the points C and D would have coordinates (0, 3) and (0,5), which is precisely the points of the option d. That is the answer.
Just set it equal to zero and solve using the quadratic equation.
Answer:
B. the lower the father's blood sugar level the lower the son's blood sugar level
Step-by-step explanation:
Correlation coefficient is the measure of relationship or association between two variables. It ranges between -1.0 and 1.0, negative correlation coefficient(-1.0 to 0) means there is negative relationship between the two variables, an increase in one variable leads to a decrease in the other. Positive correlation coefficient (0 to 1.0) means that there is a positive relationship between the two variables, an increase in one variable leads to an increase in the other variable. And correlation coefficient of 0.0 shows that there is no relationship between the two variables. For the case above, the correlation coefficient of 0.84 shows that there is a strong positive correlation coefficient between father's blood sugar levels and son's blood sugar levels, so the lower the father's blood sugar level the lower the son's blood sugar level