Answer:
a) the point is on the line
b) the lines are the same line
Step-by-step explanation:
a) The distance from a point to a line is zero when the point satisfies the equation of the line. That is, the point is on the line.
b) Two lines are zero distance apart when they are on top of each other, indistinguishable. That is, they are the same line.
Answer:
x=2
Step-by-step explanation:
To solve, we need to isolate the variable, x
5x-18=2(3x-12) +4
Distribute the 2
5x-18=2*3x + 2*-12 +4
5x-18=6x-24+4
Combine like terms (add -24 and 4)
5x-18=6x-20
Add 18 to both sides
5x=6x-2
Subtract 6x from both sides
-x=-2
Divide both sides by -1
x=2
Answer:
The mode is 7
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
To find the scale of dilation, you have to compare the ratio of the after transform with before transform according to the center of dilation. In this case, the center of dilation is Q so you have to compare QA' : QA. We know that QA= 1.25 and AA' is 1.25. The distance of QA' will be:
QA'= QA + AA'= 1.25 + 1.25 = 2.5
The scale factor will be:
scale factor= QA' : QA.= 2.5 : 1.25
scale factor= 2
Answer:
3 minutes
Step-by-step explanation:
d=3t is our formula.
d being the distance (9 inches for this problem)
t is the time in minutes
Substituting our known information would make our equation look like:
9 = 3t
to solve for t we divide both sides of the equation by 3
9/3 = 3t/3
3 = t
So if a snail travels 3 inches per minute, it will have traveled 9 inches in 3 minutes.
