Answer:
The measure of arc BC is 96 degrees
Step-by-step explanation:
we know that
The inscribed angle is half that of the arc it comprises.
so
![m\angle BAC=\frac{1}{2}[arc\ BC]](https://tex.z-dn.net/?f=m%5Cangle%20BAC%3D%5Cfrac%7B1%7D%7B2%7D%5Barc%5C%20BC%5D)
we have

substitute
![48^o=\frac{1}{2}[arc\ BC]](https://tex.z-dn.net/?f=48%5Eo%3D%5Cfrac%7B1%7D%7B2%7D%5Barc%5C%20BC%5D)

Answer:

Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
step 1
Find the slope
The formula to calculate the slope between two points is equal to

we have
(-2,-2) and (2,2)
substitute the values

step 2
Find the equation of the line in point slope form

we have

substitute


Answer:
see explanation
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 ) = (- 3, - 1) and (x₂, y₂ ) = (3, 3)
m =
=
=
, thus
y =
x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (3, 3), then
3 = 2 + c ⇒ c = 3 - 2 = 1
y =
x + 1 ← equation of line
Multiply through by 3
3y = 2x + 3 ( subtract 3y from both sides )
0 = 2x - 3y + 3 ( subtract 3 from both sides )
- 3 = 2x - 3y, that is
2x - 3y = - 3 ← in standard form
Truer words are seldom if ever written.