Answer:
The equation for the line that passes through the points (4,8) and (6,2)
is y + 3 x -20 = 0
Step-by-step explanation:
Here, the given points are (4,8) and (6,2)
So, the slope of the equation joining two points is 
⇒Slope of the given line is m = -3
Now, by POINT SLOPE FORMULA:
Equation of a line is (y - y0) = m (x-x0)
Here, equation of the line with (x0, y0) = (6,2) is
y - 2 = (-3)(x - 6)
or, y -2 = -3x + 18
⇒ y+ 3x -20 = 0
Hence, the equation for the line that passes through the points (4,8) and (6,2) is y+ 3x -20 = 0
Answer:
The probability is 0.05 or 5%
Step-by-step explanation:
Of 6 cars the probability of 3 being a lemon is:
[tex]frac{{3!3!}{6!}} [\tex]
Picking the first one a lemon is [tex]frac{{3}{6}} [\tex] , the second one also lemon [tex]frac{{2}{5}} [\tex] and the third one [tex]frac{{1}{4}} [\tex].
[tex]frac{{3*2*1}{6*5*4}} [\tex] can be rearanged as
[tex]frac{{3!3!}{6!}} [\tex]
Answer:
steps below
Step-by-step explanation:
To construct tangent line to a circle based on two main properties of tangent line and inscriber triangle of circle
1. A line is tangent to a circle when it intersects the circle in one point. At that point, the radius of the circle forms a right angle with the tangent line. If the radius forms a right angle with the tangent line, <u>then the segment OP becomes the hypotenuse of the right triangle.</u>
2. a triangle inscribed in a circle having a diameter (OT) as one side is a right triangle.
Construction:
1. connect P and circle center "O"
2. construct perpendicular bisector of PO --- AB, Intersect M will be the center of new circle and its radius is MP
3. With the center of "M" and radius MP: construct a circle and intersect original circle at "T" and "T'"
4. PT and PT' are the tangent lines
