Answer:
41
Step-by-step explanation:
Substitute the actual values of the points into the distance formula
Answer:
y = 7x - 2
Step-by-step explanation:
first we need the slope of the line.
the slope is expressed a the ratio (y coordinate change / x coordinate change) when we go from one point on the line to another.
so, let's say we go from (0, -2) to (1, 5), we see
x changes by +1 (from 0 to 1).
y changes by +7 (from -2 to 5)
so the slope is +7/+1 = 7
the slope-intercept form is in general
y = ax + b
a being the slope, b being the y-intercept (the y-value for x = 0).
the point (0, -2) gives us therefore the y-intercept directly : -2.
by using the already established slope and the point (0, -2) for the y-intercept the equation of our line is
y = 7x - 2
Crosses x axis at (5,0) and slope -⅔. plug in to point slope formula to get
y=-⅔x-10/3
Answer:
17.872, 8
Step-by-step explanation:
Chords that pass through the center are the diameter, and lines that are tangent to the circle are perpendicular to the diameter at that point.
Therefore, what we are looking at are right triangles, and we can find the distance using Pythagorean theorem.
c² = a² + b²
(19.5)² = (7.8)² + b²
b ≈ 17.872
c² = a² + b²
(10)² = (6)² + b²
b = 8
