You can solve this either just plain algebra or with the use of trigonometry.
In this case, we'll just use algebra.
So, if we let M be the the point that partitions the segment into a ratio of 3:2, we have this relation:
KM/ML = 3/2
KM = 1.5 ML
We also have this:
KL = KM + ML
Substituting KM,
KL = (3/2) ML + ML
KL = 2.5 ML
Using the distance formula and the given coordinates of the K and L, we get the length of KL
KL = sqrt ( (5-(-5)^2 + (1-(-4))^2 ) = 5 sqrt(5)
Since,
KL = 2.5 ML
Substituting KL,
ML = (1/2.5) KL = (1/2.5) 5 sqrt(5) = 2 sqrt(5)
Using again the distance formula from M to L and letting (x,y) as the coordinates of the point M
ML = 2 sqrt(5) = sqrt ( (5-x)^2 + (1-y)^2 ) [let this be equation 1]
In order to solve this, we need to find an expression of y in terms of x. We can use the equation of the line KL.
The slope m is:
m = (1-(-4))/(5-(-5) = 0.5
Using the general form of the linear equation:
y = mx +b
We substitue m and the coordinate of K or L. We'll just use K.
-5 = (0.5)(-4) + b
b = -1.5
So equation of the line is
y = 0.5x - 1.5 [let this be equation 2]
Substitute equation 2 to equation 1 and solving for x, we get 2 values of x,
x=1, x=9
Since 9 does not make sense (it does not lie on the line), we choose x=1.
Using the equation of the line, we get y which is -1.
So, we get the coordinates of point M which is (1,-1)
Answer:
0.706
Step-by-step explanation:
Convert 12/17 to decimal by dividing the numerator by denominator.
12 ÷ 17 = 0.70588.......
The nearest thousandth is the third decimal place.
If we round up: 0.706
If we round down: 0.705
Because the fourth digit is "8", we round up.
If the digit after the one you want to round to is 5 or greater, then you round up. If the digit after is 4 or less, round down..
12 ÷ 17 = 0.70588....... ≈ 0.706
Answer:
2856
Step-by-step explanation:
if you multiply 238 by 12
you will get the ans
1 and 2 are both rational.
3 and 4 are both not.
Answer:
The mean is 254.5
Step-by-step explanation:
Add up all the numbers then divide by how many numbers there are.
