Answer:
k = 11
Step-by-step explanation:
Given the points are collinear then the slopes between consecutive points are equal.
Using the slope formula
m = 
with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (1, - 1)
m = 
= 
= 
Repeat with another 2 points and equate to
with (x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (k, 4)
m = 
, then
= ( cross- multiply )
k - 1 = 10 ( add 1 to both sides )
k = 11
Answer:
(1, -12)
Step-by-step explanation:
x is the horizontal axis and y is the vertical axis.
The current coordinates of D are (-5, -2).
Translated...
D = (-5 + 6, -2 - 10)
D = (1, -12)
2(4k+8)=10
8k+16=10 (she said 2k instead of 8k)
To continue solving, subtract 16 from both sides. That would give you 8k= -6. Then divide both sides by 8, and get -6/8 which equals -3/4.
<span>I know because 2:3 is the ratio for the first and when he gets 9 that is 3* more. So we multiply 3*2 of the red paint and we will get 6 </span>
Answer: The girl herself ran faster than her friend.
Step-by-step explanation:
This answer, of course assumes a lot of variables, but for the sake of keeping things simple, lets assume the following, the people are ran in a "straight line" with no "obstacles" in their way, and ran on the same track.
Calculating in meters-per-second for the girl who ran 200 meters in 28 seconds, you get 7.14285714286 meters per second
Calculating in meters-per-second for the girl who ran 400 meters in 60 seconds, you get 6.66666666667 meters per second
Comparing the two results, it can be "accurately" concluded that the girl herself ran faster than her friend under the following assumptions earlier stated.
