Answer:
y = 3x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3)
m = = 3
We are given the y- intercept, that is c = 3
y = 3x + 3 ← equation of line
I suppose the claim is for
.
When , we have
, and of course 5 divides 5.
Assume the claim holds for , that
. We want to use this to show it holds for
, that
.
We have
Since , we can write
for some integer
. Then
which is clearly divisible by 5. QED
Answer:
Step-by-step explanation:
<h3> The complete exercise is attached.</h3>For this exercise it is important to remember that, by definition, if an angle formed by two intersecting chords has its vertex on a circle, this is called an "Inscribed angle".
The following formula is used to calculate the measure of an Inscribed angle:
You can identify in the figure that:
Then you can substitute values into the formula and solve for "x":
Then, AC is:
