Answer:
D is correct.
Step-by-step explanation:
(x + 2)^2 + (y - 6)^2 = r^2
(-2+2)^2 + (10 - 6)^2 = r^2
r^2= (10 - 6)^2
r^2=16
Answer:
when 
.
Step-by-step explanation:
Given: 
To find: Value of 
, substituting the known value of 
We have,
Putting in equation 
, we get
Hence, the value of is 
, when the value of is 
.
2 out of 50 were tagged.
Divide 2 by 50:
2/50 = 0.4 ( This is 4% of the fish were tagged).
Now divide the number of fish caught by the percentage that were tagged:
50 / 0.04 = 1250
The number of fish in the pond is C. 1250
Answer:
So, the first five terms of the sequence defined by the given recursive function are shown below.
F(1) 0.75 f(2) 1.1 F(3) 1.45 F(4) 1.8 f(5) 2.15
written on plato
Step-by-step explanation:
Answer:
q = -8, k = 2.
r = -6.
Step-by-step explanation:
f(x) = (x - p)^2 + q
This is the vertex form of a quadratic where the vertex is at the point (p, q).
Now the x intercepts are at -6 and 2 and the curve is symmetrical about the line x = p.
The value of p is the midpoint of -6 and 2 which is (-6+2) / 2 = -2.
So we have:
f(x) = 1/2(x - -2)^2 + q
f(x) = 1/2(x + 2)^2 + q
Now the graph passes through the point (2, 0) , where it intersects the x axis, therefore, substituting x = 2 and f(x) = 0:
0 = 1/2(2 + 2)^2 + q
0 = 1/2*16 + q
0 = 8 + q
q = -8.
Now convert this to standard form to find k:
f(x) = 1/2(x + 2)^2 - 8
f(x) = 1/2(x^2 + 4x + 4) - 8
f(x) = 1/2x^2 + 2x + 2 - 8
f(x) = 1/2x^2 + 2x - 6
So k = 2.
The r is the y coordinate when x = 0.
so r = 1/2(0+2)^2 - 8
= -6.
