Answer:
It is not a good model because neither point lies on the line.
Step-by-step explanation:
We can test each point on the equation of the line.
7x - 10y = 3
Point: (8, 5)
7(8) - 10(5) = 56 - 50 = 6
The left side equals 6, not 3, so point (8, 5) is not on that line.
Point: (-12, -9)
7(-12) - 10(-9) = -84 + 90 = 6
The left side equals 6 again, but the right side is 3, not 6.
Answer: It is not a good model because neither point lies on the line.
Answer:
x=12
Step-by-step explanation:
3x=2x+12
3x-2x=12
x=12
we have
6x+3y=12 -----> line p
Find the slope
3y=-6x+12
y=-2x+4
m=-2
-4x=2y-2 -----> line Q
2y=-4x+2
y=-2x+1
m=-2
therefore
the lines are parallel because their slopes are equal
Solution:
Given that the point P lies 1/3 along the segment RS as shown below:
To find the y coordinate of the point P, since the point P lies on 1/3 along the segment RS, we have
Using the section formula expressed as
![[\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n}]](https://tex.z-dn.net/?f=%5B%5Cfrac%7Bmx_2%2Bnx_1%7D%7Bm%2Bn%7D%2C%5Cfrac%7Bmy_2%2Bny_1%7D%7Bm%2Bn%7D%5D)
In this case,
where
Thus, by substitution, we have
![\begin{gathered} [\frac{1(2)+2(-7)}{1+2},\frac{1(4)+2(-2)}{1+2}] \\ \Rightarrow[\frac{2-14}{3},\frac{4-4}{3}] \\ =[-4,\text{ 0\rbrack} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5B%5Cfrac%7B1%282%29%2B2%28-7%29%7D%7B1%2B2%7D%2C%5Cfrac%7B1%284%29%2B2%28-2%29%7D%7B1%2B2%7D%5D%20%5C%5C%20%5CRightarrow%5B%5Cfrac%7B2-14%7D%7B3%7D%2C%5Cfrac%7B4-4%7D%7B3%7D%5D%20%5C%5C%20%3D%5B-4%2C%5Ctext%7B%200%5Crbrack%7D%20%5Cend%7Bgathered%7D)
Hence, the y-coordinate of the point P is
- - A normal turkey can "glide" for about <span>40-50 miles.
- - Turkeys can't fly like birds but they have a similar wing span so be able to get off the ground for a matter of seconds.
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- - Hope this helps - -
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