Answer:
68 ft^2
Step-by-step explanation:
The shaded region is a square missing a triangle. Thus, the area of the shaded region = area of square - area of triangle
Thus, we get 8*9 - 1/2 * 2 * 4 = 72 - 4 = 68 square feet.
Answer:
The slope is m=2.145.
The y-intercept is b=-1.33.
Step-by-step explanation:
We have this data:
- The mean and standard deviation for x are 5.43 and 1.12, respectively.
- The mean and standard deviation for y are 10.32 and 2.69, respectively.
- The correlation is 0.893.
We have to calculate the slope and the y-intercept of the least-squares line.
With the given data, we can calculate the slope m as:
Then, the y-intercept is calculated as:
Answer:
1 day
Step-by-step explanation:
none of the answers shown are correct,it is 1 day,is the question worded diffrently?
To find out how much he makes per week, take the amount and divide it by the week.
1520/4=380.
He makes 380 per week.
Answer
Find out the which coordinate pair identifies the center of the circle represented by 4x² + 4y² − 16x − 24y + 36 = 0.
To prove
The general equation of the circle is
(x - h)² + (y - k)² = r²
Where h,k are the centre and r is the radius.
4x² + 4y² − 16x − 24y + 36 = 0
Divided both side by 4.
x² + y² − 4x − 6y + 9= 0
Add and subtract 4 and 9
x² + y² − 4x − 6y + 4 -4 +9 - 9 +9= 0
x² + y² − 4x − 6y + 4 -4 + 9 - 9 +9= 0
x² + 4 - 2× 2 × x + y² + 9 - 2 × 3 × y = 9 + 4 - 9
using the formula ( a + b )² = a² + b² +2ab
(x - 2)² + (y - 3)² = 2²
Compare this with the general equation of circle.
Thus
h = 2 , k = 3
Option A is correct .
