Part 3: Use the information provided to write the standard form equation of each circle

7. (x + 8)^2 + (y + 14)^2 = 9
Translated 3 right, 5 down

8. (x + 2)^2 - (y - 8)^2 = 49
Translated 3 right, 2 up

9. (x - 4)^2 + (y - 11)^2 = 25
Translated 3 right, 4 up

9.

8.

7.

Step-by-step explanation:

According to the equations in the exercises, in the parentheses, ALL NEGATIVE SIGNS give the OPPOSITE terms of what they REALLY are, so be EXTREMELY CAREFUL with your translations:

9. [4, 11]

+ 3 + 4

_____

[7, 15] → (x - 7)² and (y - 15)²

8. [−2, 8]

+ 3 + 2

_____

[1, 10] → (x - 1)² and (y - 10)²

7. [−8, −14]

+ 3 - 5

______

[−5, −19] → (x + 5)² and (y + 19)²

** NOTISE THAT THE RADII NEVER ALTER.

I am joyous to assist you anytime.

7. (x + 5)² + (y + 14)² = 9

8. (x - 1)² + (y - 10)² = 49

9. (x - 7)² + (y - 15)² = 25

Step-by-step explanation:

7. (x + 8)^2 + (y + 14)^2 = 9

Centre: (-8,-14)

Translated 3 right, 5 down

Centre: (-5,-19)

(x - (-5))² + (y - (-14))² = 9

(x + 5)² + (y + 14)² = 9

8. (x + 2)^2 - (y - 8)^2 = 49

Centre: (-2,8)

Translated 3 right, 2 up

Centre: (1,10)

(x - 1)² + (y - 10)² = 49

9. (x - 4)^2 + (y - 11)^2 = 25

Centre: (4,11)

Translated 3 right, 4 up

Centre: (7,15)

(x - 7)² + (y - 15)² = 25

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.

7.25

step-by-step explanation:

we know that 7 equals to 7.0. we also know that 1/4=0.25. so we can add the two together and we get 7.25