Answer:


Step-by-step explanation:
Given
See attachment for grid
Required
Find c and d
From the attachment, we have:
--- Point on A
--- Corresponding point on B
When A is reflected across the x-axis, the rule is:

So, we have:

Next, is to calculate the translation from
to 
This is calculated using:

and

So, we have:


---- i.e. Shift by 6 units to the left


--- i.e. Shift by 1 unit down
An expression is a mathematical phrase containing at least one variable :)
Answer:
Step-by-step explanation:
z-score representing 85% is 1.04 (from table)
Let x be the score representing the lower limit of 85%.
<u>Use the formula to find z-scores:</u>
<u>We have:</u>
<u>Substitute the values and solve for x:</u>
- 1.04 = (x - 78)/7
- x - 78 = 7.28
- x = 85.28
The lower limit of the top 15% is 85.28.
Since your score is greater than 85.28 you earned an A
Answer:
(x + 6)² + (y - 2)² = 75
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 6, 2) and r = 5
, hence
(x - (- 6))² + (y - 2)² = (5
)², that is
(x + 6)² + (y - 2)² = 75
rational equation using is D