Answer:
AC = 7
Step-by-step explanation:
1. Draw out the line and label everything you know.
2. By observation, we know that AD is also equal to AC + CD.
3. To find CD, take the length of BD (12) and subtract it by the length of BC (4): 12 - 4 = 8. The length of CD is 8.
4. Finally, to find AC, subtract the length of CD (8) from AD (15): 15 - 8 = 7. The length of AC is 7.
Answer:
Step-by-step explanation:
(-1 -4)/(2 - 3) = -5/-1 = 5
y - 4 = 5(x - 3)
y - 4 = 5x - 15
y = 5x - 11
Answer:
Ratio = 3 : 2 and value of m = 5.
Step-by-step explanation:
We are given the end points ( -3,-1 ) and ( -8,9 ) of a line and a point P = ( -6,m ) divides this line in a particular ratio.
Let us assume that it cuts the line in k : 1 ratio.
Then, the co-ordinates of P =
.
But,
= -6
i.e. -8k-3 = -6k-6
i.e. -2k = -3
i.e. 
So, the ratio is k : 1 i.e
i.e. 3 : 2.
Hence, the ratio in which P divides the line is 3 : 2.
Also,
= m where 
i.e. m = 
i.e. m = 
i.e. m = 
i.e. m = 5.
Hence, the value of m is 5.
It's kind of not C.
Solve this proportion for 'x':
3/50 = x/2400
Hint: Cross-multiply the proportion, then do what you need to do.
N-10=5-4n
n+4n=5+10
5n=15
n=3