What would be the correct notation for the following line
1 answer:
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Answer:
Option A
Step-by-step explanation:
The standard form of an equation of a circle is represented by the formula . Remember that
is the center and
is the radius squared.
So, the equation of the circle must be . Complete the square to change the form of the equations listed in the options and find the one that is equal.
Let's try this with option A. Move the constants to the right side, then use the completing the square method to place the equation in standard form:
The end result matches with the equation determined before, so option A is the answer.
Answer:
6 games and 3 rides
Step-by-step explanation:
Let the number of games Brianna played be x,
and the number of rides she went on be y.
Total cost for games= 1.25x
Total cost for rides= 3.75y
Since number of games is twice the number of rides,
x= 2y -----(1)
Total costs= cost of games +cost of rides
Multiply the whole equation by 4 to remove the decimals:
Simplify by dividing the whole equation by 5:
Label the equation:
x +3y= 15 -----(2)
Although we can solve these 2 equations by substitution, since the question requires us to graphically solve, we have to graph 2 linear lines.
I will choose 3 points to plot on the graph for each equation:
x= 2y -----(1)
x +3y= 15 -----(2)
x= -3y +15
Let's plot these points on a graph paper. Then, join them with a straight line for each straight line graph. Please see the attached picture for the graph.
From (1): y= ½x
From (2): 3y= 15 -x
y= 5 -⅓x
From the graph, the solution of the equation is (6,3). The solution is the point on the graph in which the 2 lines intersect.
x- coordinate: 6
y- coordinate: 3
Thus, Brianna played 6 games and went on 3 rides.
