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: B. Brianna’s age is 5 less than 3 times Molly age.
Step-by-step explanation:
We are informed that the expression below represents Brianna’s age in
terms of m, Molly’s age.
3m − 5.
This shows that 3m simply means that 3 times of Molly's age while the -5 represent less than 5. This will now be:
Brianna’s age is 5 less than 3 times Molly age.
Answer:
A kite with a 100 foot-long string is caught in a tree. When the full length of the string is stretched in a straight line to the ground, it touches the ground a distance of 30 feet from the bottom of the tree. Find the measure of the angle between the kite string and the ground.
17°
27°
63°
73°
Step-by-step explanation:
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