Find the 4 angles and the measure of are abd
1 answer:
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Start by writing the system down, I will use to represent
Substitute the fact that into the first equation to get,
Simplify into a quadratic form (),
Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,
which then must factor into
And the solutions will be .
Clearly for small coefficients like ours , this is very easy to figure out. To get 5 and 6 we simply say that
.
This fits the definition as and
.
So as mentioned, solutions will equal to but these are just x-values in the solution pairs of a form
.
To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.
So the solution pairs are and
.
Hope this helps :)
Answer:
Yes, the relation is a function.
Step-by-step explanation:
Given:
The equation that represents the cost of riding a cab is given as:
Where, 'x' is the number of miles traveled and 'y' is the the total cost of the trip.
The above equation represents a line as it is of the form which represents a line with constant slope.
Now, in order to plot this equation, we need at least two points.
Now, let , then
. So, (0, 3) is a point on the line.
Let , then
. So, (1, 3.75) is a point on the line.
Plot these two points on a graph and draw a line passing through these two points.
Now, for a relation to be a function, it should pass the vertical line test.
According to vertical line test, vertical lines passing through the graph must cut the graph at only 1 point for the graph to represent a function.
Here, we observe that vertical lines passing through the line will intersect the line only at one point. So, it represent a function.
