Answer:
![\[y=-2x+13\]](https://tex.z-dn.net/?f=%5C%5By%3D-2x%2B13%5C%5D)
Step-by-step explanation:
Equation of the line CD is given as ![\[y=-2x-2\]](https://tex.z-dn.net/?f=%5C%5By%3D-2x-2%5C%5D)
Slope of the line CD = -2
Slope of the line parallel to CD = -2
Equation of the line parallel to CD is given by ![\[y=mx+c\]](https://tex.z-dn.net/?f=%5C%5By%3Dmx%2Bc%5C%5D)
![\[y=-2x+c\]](https://tex.z-dn.net/?f=%5C%5By%3D-2x%2Bc%5C%5D)
But this line passes through (4,5)
Substituting the values in the equation:
![\[5=-2*(4)+c\]](https://tex.z-dn.net/?f=%5C%5B5%3D-2%2A%284%29%2Bc%5C%5D)
=> ![\[c=5+8=13\]](https://tex.z-dn.net/?f=%5C%5Bc%3D5%2B8%3D13%5C%5D)
So the overall equation of the parallel line is given by ![\[y=-2x+13\]](https://tex.z-dn.net/?f=%5C%5By%3D-2x%2B13%5C%5D)
Answer:
B, C, D, & E
Step-by-step explanation:
All lines intersect the x axis and y axis so we know B and D are correct. All graphs are in the xy plane unless i (
) is involved, or C. It crosses the center (origin) of the entire plane so it crosses the origin, or E.
Answer:
x < 12
Step-by-step explanation:
Note that the symbol for:
"less than" is <
"greater than" is >
"less than or equal to" is ≤
"greater than or equal to" is ≥
In this case, the question states that the variable "x" is less than 12. Set the equation: x < 12
x < 12 is your answer.
~
Answer:
117º.
Step-by-step explanation:
Angle 5 is a corresponding angle to angle 1, so therefore if angle 1 is 117º, angle 5 is 117º.
Hope this helps!
249 km in 3 hours are 83 km in 1 hours
249 : 3 = 83 Km