740-707.60=32.40
707.60-675.20=32.40
675.20-642.80=32.40
so that means every month you are paying 32.40$ bill. to get how many months you can pay phonebills without depositing any more money devide the 740/32.40=22.83 but you can not pay bill for the 0.83 month so answer will be 22 months
Answer:
Step-by-step explanation:
We have a 4-sided triangular pyramid
, where
Answer:
Step-by-step explanation:
Given is a triangle RST and another triangle R'S'T' tranformed from RST
Vertices of RST are (0, 0), (negative 2, 3), (negative 3, 1).
Vertices of R'S'T' are (2, 0), (0, negative 3), (negative 1, negative 1).
Comparing the corresponding vertices we find that x coordinate increased by 2 while y coordinate got the different sign.
This indicates that there is both reflection and transformation horizontally to the right by 2 units
So first shifted right by 2 units so that vertices became
(2,0) (0,3) (-1,1)
Now reflected on the line y=0 i.e. x axis
New vertices are
(2,0) (0,-3) (-1,-1)
A line perpendicular to y = -2x + 5 will have an equation in the form of:
y = (1/2)x + b
Since the graph must intersect (-2,9), we plug in this point to solve for b.
9 = (1/2)*(-2) + b
9 = -1 + b
10 = b
So the equation is:
y = (1/2)x + 10
The answer is A.
Answer:
The partial fraction decomposition is 
.
Step-by-step explanation:
Partial-fraction decomposition is the process of starting with the simplified answer and taking it back apart, of "decomposing" the final expression into its initial polynomial fractions.
To find the partial fraction decomposition of 
:
First, the form of the partial fraction decomposition is
Write the right-hand side as a single fraction:
The denominators are equal, so we require the equality of the numerators:
Expand the right-hand side:
The coefficients near the like terms should be equal, so the following system is obtained:
Solving this system, we get that 
.
Therefore,
