Answer:
- Circle X with radius 2 cm.
- Either of two lines parallel to AB.
Step-by-step explanation:
1. The definition of a circle is all the points in a plane that are at some radius r from a given point (the circle center). That is what you have, with a radius of 2 cm.
__
2. Parallel lines are the same distance apart everywhere. Each line will have two parallel lines at some given distance from it, one on each side. Here, the separation distance from AB is 1 cm, so your locus of points is the two lines parallel AB that are 1 cm from it on either side.
Answer:
The y-intercept is (0, 4).
Step-by-step explanation:
At the y-intercept x = 0 so
y = 4(3^0)
y = 4*1 = 4.
So the y-intercept is (0, 4).
x + 2y = 9
x + 3y = 13
____________________________________________________________
Solve for x in the first equation. Subtract 2y from both sides.
x = 9 - 2y
____________________________________________________________
Plug x into the second equation.
(9 - 2y) + 3y = 13
Combine like terms.
9 + y = 13
Subtract 9 from both sides.
y = 4
____________________________________________________________
Plug y back into the first equation.
x + 2(4) = 9
x + 8 = 9
Subtract 8 from both sides.
x = 1
____________________________________________________________
x = 1
y = 4
Each colection day: D
Number of tops collected on that day: N
D1=1; N1=2
D2=3; N2=8
1) Linear model
N-N1=m(D-D1)
m=(N2-N1)/(D2-D1)
m=(8-2)/(3-1)
m=(6)/(2)
m=3
N-N1=m(D-D1)
N-2=3(D-1)
N-2=3D-3
N-2+2=3D-3+2
N=3D-1
when D=6:
N=3(6)-1
N=18-1
N=17
<span>What is the number of tops collected on the sixth day based on the linear model?
</span>The number of tops collected on the sixth day based on the linear model is 17.
2) Exponential model
N=a(b)^D
D=D1=1→N=N1=2→2=a(b)^1→2=ab→ab=2 (1)
D=D2=3→N=N2=8→8=a(b)^3→8=a(b)^(1+2)
8=a(b)^1(b)^2→8=ab(b)^2 (2)
Replacing (1) in (2)
(2) 8=2(b)^2
Solving for b:
8/2=2(b)^2/2
4=(b)^2
sqrt(4)=sqrt( b)^2 )
2=b
b=2
Replacing b=2 in (1)
(1) ab=2
a(2)=2
Solving for a:
a(2)/2=2/2
a=1
Then, the exponential model is N=1(2)^D
N=(2)^D
When D=6:
N=(2)^6
N=64
<span>What is the number of tops collected on the sixth day based on the exponential model?
</span><span>The number of tops collected on the sixth day based on the exponential model is 64</span>
