The slope is 1, you can see as it goes right one it goes up one, so the rise/ run would be 1
ANSWER: 1
Translation rule (x, y)--->(x + 4, y - 10)
Object A = (5, 6)
Apply rule:
(5, 6)---->(5 + 4, 6 - 10) = (9, -4)
Image A' = (9, -4)
Option 3: (9, -4) is the answer
Answer:
S = 8
Each side of a face is 8 units.
Step-by-step explanation:
The surface area of the cube is 384 units.
One face of the cube has an area of s^2
A cube has 6 faces
6s^2 = 384 Divide by 6
s^2 = 384 / 6
s^2 = 64 Take the square root of both sides
sqrt(s^2) = sqrt(64)
s = 8
Circumference of Circle=C, =2(pi)(radius)
Radius of Circle=r
Side of square=x
f(x)=area of circle
g(r)=area of square
16 feet=C+4x
C=16-4x
2(pi)(r)=16-4x
2(pi)(r)=2(8-2x)
(pi)(r)=8-2x
r=(8-2x)/(pi)
x=(8-(pi)r)/2
f(x)=(pi)(r^2)
f(x)=(pi)((8-2x)/(pi))^2
f(x)=((8-2x)^2)/(pi)
f(x)=((64-32x+4x^2))/(pi)
g(r)=((8-(pi)r)/2)^2
g(r)=((64-16(pi)r+(pi)^2(r^2))/4
Given:
The recursive formulae are:
(a) 
(b) 
To find:
The explicit equation.
Solution:
A recursive formula of an arithmetic sequence is
and f(1) is the first term.
Where, d is the common difference.
The explicit formula is
where, a is first term and d is common difference.
(a)
We have,
Here, first term is 8 and common difference is -2. So, the explicit formula is
Therefore, the explicit formula is .
(b)
We have,
Here, first term is 0 and common difference is 5. So, the explicit formula is
Therefore, the explicit formula is .
