Answer:
Step-by-step explanation:
Sum of interior angle of any polygon =(n-2) × 180°where n represents the number of sides in any polygon.
Or 1260 =(n-2)x180
Dividing both sides by 180:
7=n-2
Adding both sides by 2 we have :
n=9.
Hence a nanogon will have the sum of interior angles as 1260°.
Hello :
all points <span>lies on a circle with a radius of 5 units and center at P(6, 1)are :
M(x,y) : (x-6)² + (y-1)² = 25</span>
Answer:
y = –7x – 11
6x – 4y = 10
Step-by-step explanation:
From the question given above, we obtained:
x = –1
y = –4
y = ?x – 11 ....... (1)
6x – ?y = 10b......... (2)
Let the two unknown be a and b. Thus the above equation becomes:
y = ax – 11 ......... (3)
6x – by = 10 .......(4)
Next, we shall determine the value of 'a' and 'b'. This can be obtained as follow:
For a:
y = ax – 11
x = –1
y = –4
–4 = a(–1) – 11
–4 = –a – 11
Collect like terms
–4 + 11 = –a
7 = –a
Multiply through by –1
a = –7
For b:
6x – by = 10
x = –1
y = –4
6(–1) – b(–4) = 10
–6 + 4b = 10
Collect like terms
4b = 10 + 6
4b = 16
Divide both side by 4
b = 16 / 4
b = 4
Finally, we shall substitute the value of a and be into equation 3 and 4 respectively.
y = ax – 11
a = –7
y = –7x – 11
6x – by = 10
b = 4
6x – 4y = 10
Therefore, the complete equation are:
y = –7x – 11
6x – 4y = 10
The answer is y<x+4,y≥-3x-2
