Answer:
The dilation is an enlargement by 3
Step-by-step explanation:
I took geometry lasy yr
1/4 (8 + 6z + 12)
------------------------------------------------------------
Combine like terms :
------------------------------------------------------------
1/4 (6z + 20)
------------------------------------------------------------
Apply distributive property :
------------------------------------------------------------
1/4(6z) + 1/4(20)
3/2z + 5
------------------------------------------------------------
Answer: 3/2z + 5
------------------------------------------------------------
Answer:

Step-by-step explanation:
A second order linear , homogeneous ordinary differential equation has form
.
Given: 
Let
be it's solution.
We get,

Since
, 
{ we know that for equation
, roots are of form
}
We get,

For two complex roots
, the general solution is of form 
i.e 
Applying conditions y(0)=1 on
, 
So, equation becomes 
On differentiating with respect to t, we get

Applying condition: y'(0)=0, we get 
Therefore,

Answer:
The original value of the car.
Step-by-step explanation:
The 21,500 would be the <em>a </em>value of the function, as it is before the parentheses. The <em>a </em>value of an exponential function is a constant, and it is the y-intercept of that function, meaning in a real-world application, it would be where the values start at. In this case, the 21,500 is where the price of the car starts at, i.e., the original value of the car.
Answer:
1000 in
Step-by-step explanation:
Given
The dimension of the small cube is 1\ in.1 in.
No of the cubes is 10^6106
If the small cubes are arranged on the floor
The area of the cubes is
\Rightarrow 10^6\times 1^2\ in.^2⇒106×12 in.2