Answer:
slope = 
Step-by-step explanation:
Calculate slope m using the slope formula
m = 
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (3, 1) ← 2 points on the line
m = 
=
9514 1404 393
Answer:
K(-14 1/3, -34 2/3)
Step-by-step explanation:
The division ratio says ...
(L -J)/(K -L) = 3/2
2(L -J) = 3(K -L)
5L -2J = 3K
K = (5L -2J)/3
K = (5(-15, -20) -2(-16, 2))/3 = (-75+32, -100-4)/3 = (-43/3, -104/3)
K = (-14 1/3, -34 2/3)
Answer:
a:b:c=2:5:3
Step-by-step explanation:
a:b=10:25
a:b=2:5(divided by 5)
b:c=45:27
b:c=5:3(divided by 9)
a:b:c=2:5:3
Use cosine rule,
cos(A)=(b^2+c^2-a^2)/(2bc)
=(10^2+12^2-6^2)/(2*10*12)
=13/15
A=29.926 degrees.................................(A)
cos(B)=(c^2+a^2-b^2)/(2ca)
=(12^2+6^2-10^2)/(2*12*6)
=5/9
B=56.251 degrees.................................(B)
cos(C)=(a^2+b^2-c^2)/(2ab)
=(6^2+10^2-12^2)/(2*6*10)
=-1/15
C=93.823 degrees.................................(C)
Check:29.926+56.251+93.823=180.0 degrees....ok
