Answer:
(D)Rational
Step-by-step explanation:
Plus the equations to get
y=-8
The sun in y to either equation I’ll do y=2x-2
-8=2x-2
Plus 2
-6=2x
Divided by 2
x=-3
So y=-8 and x=-3
Answer:
{12, 16}
Step-by-step explanation:
The difference of two <em>numbers (x and y)</em> is 4. Thus, if y is the larger, then y - x = 4. Also, y = 2x - 8.
So we need to solve the system of linear equations
y - x = 4
y = 2x - 8
Subbing 2x - 8 for y, in the first equation, we get (2x - 8) - x = 4, or
x - 8 = 4, and conclude that x = 12. Then, because y - x = 4, y must be 16.
The numbers are 12 and 16.
We have the following points and their coordinates:
![\begin{gathered} S(-3,10), \\ T(-2,3). \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20S%28-3%2C10%29%2C%20%5C%5C%20T%28-2%2C3%29.%20%5Cend%7Bgathered%7D)
We must compute the distance ST between them.
The distance ST between the two points is given by:
![ST=\sqrt[]{(x_S-x_T)^2+(y_S-y_T)^2_{}},](https://tex.z-dn.net/?f=ST%3D%5Csqrt%5B%5D%7B%28x_S-x_T%29%5E2%2B%28y_S-y_T%29%5E2_%7B%7D%7D%2C)
where (xS,yS) are the coordinates of the point S and (xT,yT) are the coordinates of the point T.
Replacing the coordinates of the points in the formula above, we find that:
![\begin{gathered} ST=\sqrt[]{(-3_{}-(-2)_{})^2+(10_{}-3_{})^2_{}}, \\ ST=\sqrt[]{1^2+7^2}, \\ ST=\sqrt[]{50}\text{.} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20ST%3D%5Csqrt%5B%5D%7B%28-3_%7B%7D-%28-2%29_%7B%7D%29%5E2%2B%2810_%7B%7D-3_%7B%7D%29%5E2_%7B%7D%7D%2C%20%5C%5C%20ST%3D%5Csqrt%5B%5D%7B1%5E2%2B7%5E2%7D%2C%20%5C%5C%20ST%3D%5Csqrt%5B%5D%7B50%7D%5Ctext%7B.%7D%20%5Cend%7Bgathered%7D)
Answer: ST = √50
Answer:
1. d.9
2.
3.
Step-by-step explanation:
that is the only one I know sorry