Answer:
-1+5z, -25+20y, 4d+14, 2n-2, 40k+8, 8b+5, -9+22p
Step-by-step explanation:
1) -4+7z+3-2z
-1+5z
2) 15+4(5y-10)
15+20y-40
-25+20y
3) 2d+17-3-2d+4d
4d+14
4) 12n-8-2n+10-4
2n-2
5) 8(2k+1+3k)
16k+8+24k
40k+8
5) 4(2b+2)-3
8b+8-3
8b+5
6) -4+8p-6p-5+20p
-9+22p
If your transformed function is F(s), the limiting value of f(t) as t goes to infinity is the limiting value of s*F(s) as s goes to zero.
Multiply your function by s, then evaluate for s=0. If the form is indeterminate, evaluate the limit as s approaches zero.
Answer:
centre = (2, 6) and radius = 3
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
To obtain this form complete the square on both the x and y terms
express the equation as
x² - 4x + y² - 12y = - 31
x² + 2(- 2)x + 4 + y² + 2(- 6)y + 36 = - 31 + 4 + 36
(x - 2)² + (y - 6)² = 9 ← in standard form
with centre = (2, 6) and r =
= 3
Subtract 43 from both sides of equation