Answer:
n<2
Step-by-step explanation:
3n+1 < 7
3n + 1 + (-1) < 7 +(-1)
3n < 6
(3n)/3< 6/3
n < 2
Hope this helps!!!
Answer:
37
Step-by-step explanation:
37+38+39
Answer:
256
Step-by-step explanation:
Let the number be k
Thus, the equation can be written as:
x² – 32x + k
From the above,
a = 1
b = –32
c = k
The value of k can be obtained as follow:
b² = 4ac
(–32)² = 4 × 1 × k
1024 = 4k
Divide both side by 4
k = 1024 / 4
k = 256
Thus, 256 should be added to x² – 32x to make it a perfect square i.e
x² – 32x + 256
****Check****
x² – 32x + k
k = 256
x² – 32x + 256
x² – 16x – 16x + 256
x(x – 16) – 16(x – 16)
(x – 16)(x – 16)
(x – 16)² QED
With these equations what you do to one side you have to do to the other and if you divide using a negative such as when you divide -8 you switch the greater than sign to the opposite direction so add 36 and it will cancel and add it to negative 12 which will actually be subtracting because 12 is negative and then you divide negative 8 by both sides
The area of a circle is pi*r^2
First find the biggest circle's area
then find the little circle's area
Big circle area:
The radius is 8 because on the graph, the small circle's radius is half of the big circle.
(note that this does NOT mean that one small circle is half of the big circle.
3.14*8^2=200.96 ft^2
Small Circle area:
The radius is 4 as shown on the graph
3.14*4^2= 50.24
Remember that there are two of them so the of the 2 small circles would be 100.48 ft^2
Shaded Region:
All you have to do now is to subtract the 2 small circles from the big circle:
200.96-100.48=100.48
