Mathematics, 05.02.2020 12:52 Gabby7047

On a number line, the directed line segment from q to s has endpoints q at –14 and s at 2. point r partitions the directed line segment from q to s in a 3: 5 ratio. which expression correctly uses the formula to find the location of point r?

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Answer from: cutie777

$R=(\frac{3\cdot2+5\cdot(-14)}{8})$

Step-by-step explanation:

We have been given that on a number line, the directed line segment from Q to S has endpoints Q at –14 and S at 2. Point R partitions the directed line segment from Q to S in a 3:5 ratio.

To write the expression which will find the location of R we will use section formula when a point P divides segment internally in ratio m:n.

$P=(\frac{mx_2+nx_1}{m+n} ,\frac{my_2+ny_1}{m+n})$

Now let us substitute our given values in section formula. Since number line is a one dimensional, therefore, its y-coordinate will be 0.

$R=(\frac{QR\cdot(2)+RS\cdot(-14)}{QR+RS} ,\frac{QR\cdot (0)+RS\cdot( 0)}{QR+RS})$

$R=(\frac{3\cdot(2)+5\cdot(-14)}{8} ,\frac{0}{8})$

$R=(\frac{6-70}{8} ,0)$

$R=(\frac{-64}{8} ,0)$

R=(-8 ,0)

Therefore, the expression $R=(\frac{3\times2+5\cdot(-14)}{8})$ represents the formula to find the location of point R.

Answer from: Quest

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

Answer from: Quest

false

step-by-step explanation:

the reason i say this is because for a certain length of sides you can pick any two and the length is wither equal or greater than the third side and in this case it's not.

3 + 5 = 8

8 is smaller than 9 which is the third side.

hope this : )

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On a number line, the directed line segment from q to s has endpoints q at –14 and s at 2. point r p...

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