Answer:
centre = (4,-2)
radius = 3
Step-by-step explanation:
The centre-radius form of the circle equation is in the format
(x – h)² + (y – k)² = r²,
with the centre being at the point (h, k) and the radius being "r"
Given in the question an expression which can be write as
<h3> (x – 4)² + (y – (-2))² = 3²</h3>
So, by translating we can say that
centre = (4,-2)
and
radius = 3
Answer:
$41,860.
Step-by-step explanation:
Weekly salary = 1610 / 2 = $805.
There are 52 weeks in a year so her annual salary
= 805 * 52 = $41,860.
Answer:
x<−4
Step-by-step explanation:
7x+6<-22
7x+6-6<-22-6
7x<-28
7x/7<-28/7
x<-4
Hope it helped!
For this case we have an equation of the form:
y = A * (b) ^ t
Where,
A: initial amount
b: decrease factor
t: time
Substituting values:
y = 30 * (b) ^ t
To calculate t we use a point in the table.
We have:
(t, y) = (1, 28.5)
Substituting:
28.5 = 30 * (b) ^ 1
b = 28.5 / 30
b = 0.95
Answer:
a. Decay factor is 0.95
Answer:
59.16 units
Step-by-step explanation:
Given that,
The length of rectangle, L = 13
The breadth of the rectangle, B = 6
The perimeter of the shaded region = perimeter of rectangle - 2(perimeter of semicircle)
![P=13\times 6-[2\times \dfrac{2\pi r}{2}]\\\\=78-2\pi r\\\\=78-2\times 3.14\times 3\\\\=59.16](https://tex.z-dn.net/?f=P%3D13%5Ctimes%206-%5B2%5Ctimes%20%5Cdfrac%7B2%5Cpi%20r%7D%7B2%7D%5D%5C%5C%5C%5C%3D78-2%5Cpi%20r%5C%5C%5C%5C%3D78-2%5Ctimes%203.14%5Ctimes%203%5C%5C%5C%5C%3D59.16)
So, the perimeter of the shaded region is 59.16 units.
