In order to prove the triangle is a right angled triangle we need to prove that the slope of the lines CA and BC and AB have any negative reciprocals.Lets find the slopes .
AB=(-1,3), (1,2) slope of AB = 2-3/1-(-1)= -1/2 slope of AB is -1/2
BC = (1,2), (-3,1) slope of BC is 1-2/-3-1= -1/-4 slope of BC is 1/4
Slope of CA =(-3,1)(-1,3) slope of 3-1/-1-(-3)=-2/-2=1
Since the slopes do not have any negative reciprocals so the triangle is not a right angled triangle
Answer:
2.meters
Step-by-step explanation:
Lenght of ladder = 4 m
θ = 30°
To obtain h;
Using Pythagoras rule :
Sinθ = opposite / hypotenus
Hypotenus = 4 ; opposite = h
Sin 30 = h / 4
0.5 = h / 4
h = 0.5 * 4
h = 2 m
Hence, distance between th efoot of ladder and the base of the wall is 2 m
False, there isn't enough rice in 5.25 pounds.
Answer:
It passes through the point (3,4). Given that the center of the circle is the point (0,0). We know that the equation of the circle is given by : (x-a)^2 + (y-b)^2 = r^2 where (a,b) is the center and r is the radius.
the perimeter is:
4(4x - 6)
Applying distributive property:
4(4x) - 4(6)
16x - 24
Then, the perimeter can also be represented by 16x - 24 because 4(4x - 6) can be simplified to 16x - 24