Answer:
not sure which is the origional-
if the big one is the origiinal, then 1/2
if the small one is the origional- then 2-1
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:
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Step-by-step explanation:
its to blurry what does it say so i can help
Answer:
D. 6
Step-by-step explanation:
Range of any data set is the difference between the maximum value and the minimum value.
From the graph given above, the least data value plotted on the graph is 1.
Minimum value = 1
The maximum data value = 7
The range of the data set = max - min
Range = 7 - 1
Range = 6
1 peso = 0.053 dollars.
x pesos = 400 US dollars.
1/x = 0.053 / 400 Cross multiply
400 * 1 = 0.053 x Divide by 0.053
400/0.053 = 0.053*x / 0.053
7547.17 pesos which rounded is
Answer: 7547 pesos
