Answer: When a system of two linear equations gives an answer of
, there are infinitely many solutions. It also means that the graph represents parallel lines, so the answer is the third choice.
Step-by-step explanation: When it comes to systems of equations in algebra, you will see three types of solutions:
1. When you get an exact value & number for x and y, the system has <u>one solution</u> and is consistent/independent.
2. When you get
like in this case, the system has <u>infinitely many solutions</u> and is consistent/dependent.
3. When you get numbers that are not equal, for example,
, you have <u>many solutions</u> and the system is inconsistent/independent.
C. -2 because it is higher up in the negatives whereas -6 and -13 are lower even though the number seems greater
The answer is
x + y = 7
6.50x + 3.50y = 33.50
x - the number of adult tickets
y - the number of child tickets
<span>Group of 7 people: x + y = 7
</span> 6.50 adults and 3.50 for child ticket cost <span>33.50: 6.50x + 3.50y = 33.50
So, we have two equations:
</span>x + y = 7
6.50x + 3.50y = 33.50
Answer:
The perimeter of a quarter of a circle with radius 2 inches is 7.1 inches.
Step-by-step explanation:
Given : A quarter of a circle with radius labeled 2 in.
Quarter of circle means fourth part of a circle (as shown in image by shaded part).
We have to find the perimeter of this shaded quarter of circle.
Perimeter is the sum of the dimension of the given figure.
Perimeter of circle is 
Since, we are given Quarter circle so its perimeter 
Perimeter of given figure = 
Perimeter of given figure = 
Thus, the perimeter of a quarter of a circle with radius 2 inches is 7.1 inches.
This is the formula to solve for the vertex.
Example Question:
Find the vertex of y = -0.5x^2 + 100x
-b/2a = -100/2(-0.5) = -100/-1 = 100
The x coordinate of the vertex is 100.
Best of Luck!
P.S. this is 1000th question i've answered :)