Answer:
Option A is correct.
The system of equation is inconsistent is;
2x+8y=6
5x+20y=2
Explanation:
* A system of equations is called an inconsistent system, if there is no solution because the lines are parallel.
* If a system has at least one solution, it is said to be consistent .
*A dependent system of equations is when the same line is written in two different forms so that there are infinite solutions.
(A)
2x+8y=6
5x+20y=2
This is inconsistent, because as shown below in the graph of figure 1 that the lines do not intersect, so the graphs are parallel and there is no solution.
(B)
5x+4y=-14
3x+6y=6
this system of equation is Consistent because it has exactly one solution as shown below in the graph of Figure 2 and also it is independent.
(C)
x+2y=3
4x+6y=5
this system of equation is Consistent because it has exactly one solution as shown below in the graph of Figure 3.
(D)
3x-2y=2
6x-4y=4
this is a consistent system and has an infinite number of solutions, it is dependent because both equations represent the same line. as shown below in the graph of Figure-4.
Therefore, the only Option A system of equation is inconsistent.
Answer:
Step-by-step explanation:
slope=change in y/change in x
one way is t pick 2 points, (x1,y1) and (x2,y2)
the slope is (y2-y1)/(x2-x1)
pick some points
(8,4) and (8,0)
slope=(0-4)/(8-8)=-4/0=undefined
the slope is undefined
there is no slope.
Answer:
- reflection across line m
- rotation about point A'
Step-by-step explanation:
The problem statement tells you exactly what the transformations are.
The first transformation is reflection across line m.
The second transformation is rotation about point A'.
_____
These are both rigid transformations, so ΔABC ≅ A'B''C''.
Answer: 585 maybe??
Step-by-step explanation:
450/100 = 4.5
4,5 = 1 percent of the total amount.
4.5 x 25 = 112.5
112 = 25 percent of 450
4.5 x 5 = 22.5
22.5 = 5 percent of 450
Hope u understand and that this helps:)
Answer:
Step-by-step explanation:
Given that from a well shuffled set of playing cards (52 in number) a card is drawn and without replacing it, next card is drawn.
A - the first card is 4
B - second card is ace
We have to find probability for
P(A) = no of 4s in the deck/total cards = 
After this first drawn if 4 is drawn, we have remaining 51 cards with 4 aces in it
P(B) = no of Aces in 51 cards/51 = 
Hence
(Here we see that A and B are independent once we adjust the number of cards. Also for both we multiply the probabilities)
