Answer:
Required ordered pair is (0,0) for system of equation
Step-by-step explanation:
The given system of equation is
A). 
B). 
On simplifying the equation A
Take log on both side,
(12x) (log9) = (3y) (log9)
4x=y
To find the solution of the system of the equation :
Replacing value of y=4x in equation B,
We get,
x=0 and x=0.829
Since, 0.829 is not integer number
Only solution of equations is x=0
For the value of y
Replace value x in y=4x=0
Thus, Required ordered pair is (0,0)
Answer:
2166.53
Step-by-step explanation:
Price x 1.0822 = 1067.0492 <Price with tax
P= PV x i / 1- (1+i)^-n
^ x (identical monthly payments for 5 years aka 12 x 5)
average cost for electricity x (365 x years aka 11)
cost for maintenance x 11
Add all 3 answers
=2166.53
Formula for volume of cylinder:
V=πr²h
Here height, h= 5 units
Diameter, d= 4 units
So, radius, r= d/2 = 4/2 =2 units
Put values in formula.
V= (3.14)(2)²(5)
V=62.8 Cubic units
Answer: 62.8 cubic units
Answer:
<em>The translation vector from A to B is (-4,6)</em>
Step-by-step explanation:
A translation vector is a type of transformation that moves a figure in the coordinate plane from one location to another.
All the vertices of the figure are translated by the same vector, and the resulting figure is shifted horizontally and vertically.
The vertices of triangle A are:
(3,-1) (1,-4) (3,-4)
The corresponding vertices of triangle B are:
(-1,5) (-3,2) (-1,2)
Subtracting the vertices of B from vertices of A:
(-4,6) (-4,6) (-4,6)
Note they are result in the same translation vector, thus:
The translation vector from A to B is (-4,6)
156 words / 78 words = 2
2 * 6 = 12.
It would take Evelyn 12 minutes to text 156 words.
