On Carrie's map, Greenville and North Valley are 90 miles away from each other. On Krystal's map they are 81 miles away from each other.
Answer:
2,380
Step-by-step explanation:
Answer:
\[y = (-1/2) * x + 6\]
Step-by-step explanation:
Equation of the given line: y=2x+2
Hence the slope of the line is given by 2
Any line which is perpendicular to the given line will have a slope m such that m*2 = -1
Or, \[m = \frac{-1}{2}\]
Only options 2 and 3 satisfy this condition.
The line is also supposed to pass through the point (6,3).
Substituting these values in the option 2:
\[3 = (-1/2) * 6 + 3\]
Or, \[ 3 =0 \] which is false . Hence option 2 is not valid.
Now substituting (6,3) in option 3:
\[3 = (-1/2) * 6 + 6\]
Or, \[ 3 =3 \] which is true . Hence option 3 is the required equation of the line.
Answer:
Step-by-step explanation:
if the lines are parallel they have the same gradient.
rearrange the equation to make y the subject and then use the m value as gradient.
-3x=2-y
-3x-2=-y
y=-(-3x-2)
y=3x+2
therefore m=3
slope is 3
Answer:
(-∞,7) U (7,∞)
Step-by-step explanation:
f(x)= x+2
g(x) = x-7
Here we have x-7 in the denominator
To find domain we set the denominator =0 and solve for x
x-7=0
Add 7 on both sides
x=7
x=7 makes the denominator 0 that is undefined
So we ignore 7 for x
Hence domain is
(-∞,7) U (7,∞)
