Answer:
slope is -5
Step-by-step explanation:
The formula for slope is:
m = (y2 - y1)/(x2 - x1)
m = slope
y2 = y-coordinate of second point
y1 = y-coordinate of first point
x2 = x-coordinate of second point
x1 = x-coordinate of first point
We can choose our first and second points as any points on the table, but we will choose the first andd second points which are (-5,10) and (-3,0).
y2 = 0
y1 = 10
x2 = -3
x1 = -5
m = (0-10)/(-3-(-5))
m = (-10)/(-3+5)
m = (-10)/(2)
m = -5
Answer:
0
1
Step-by-step explanation:
First question:
You are given a side, a, and its opposite angle, A. You are also given side b. Use that in the law of sines and solve for the other angle, B.




The sine function can never equal 2, so there is no triangle in this case.
Answer: no triangle
Second question:
You are given a side, b, and its opposite angle, B. You are also given side c. Use that in the law of sines and solve for the other angle, C.





One triangle exists for sure. Now we see if there is a second one.
Now we look at the supplement of angle C.
m<C = 52.5°
supplement of angle C: m<C' = 180° - 52.5° = 127.5°
We add the measures of angles B and the supplement of angle C:
m<B + m<C' = 63° + 127.5° = 190.5°
Since the sum of the measures of these two angles is already more than 180°, the supplement of angle C cannot be an angle of the triangle.
Answer: one triangle
Answer:
Step-by-step explanation:
perimeter = sum of the sides = (3y+5) + (y-4) + (6y) = 10y + 1
Speed is given by:
speed=distance/time
given that:
1 mile=1,760 yards
1 hour=60 min
then the speed in yards/sec will be:
distance Ashley covered is 15 miles
time=2 hours
thus;
speed=(15x1760)/(2x60)
=220 yards/ min