Answer:
The answer is c: the lendth of the photo frame is between 11 and 12 inches.
I hope this helps you!
Answer:
B
Step-by-step explanation:
Start by using the distance formula to find the raidus
The two points are (-2,1) and (-4,1)
√((-4+2)²+(1-1)²)= 2
The radius is two and we have our center which means we can write
(x+2)²+(y-1)²=4
now it's just a matter of expanding everyhting
x²+4x+4+y²-2y-3=0
x²+y²+4x-2y+1=0
This is equal to B
Step-by-step explanation:
first we need to find the slope of the line.
the slope is the ratio of "y coordinate change / x coordinate change" when going from one point to the other.
we see here
x changes by -4 (from -4 to -8).
y changes by +3 (from -5 to -2).
so, the slope is +3/-4 = -3/4
there are two main forms for the equation of a line :
the slope-intercept form
y = ax + b
and the point-slope form
y - y1 = a(x - x1)
where "a" is the slope, and (x1, y1) is a point on the line.
we can pick any point, and I would pick (-4, -5).
so we get as point-slope form
y + 5 = -3/4 × (x + 4)
or for the slope intercept form we simplify the point-slope form
y + 5 = -3/4 x + -3/4 × 4 = -3/4 x - 3
y = -3/4 x - 8
18^2 - 8^2 = 324 - 64 = 260
PN = √260
LN = 2 PN = 2√260
LN = 32.25