Answer:
The correct answer is 30
Step-by-step explanation:
Given: The x-axis represents the time in hours and the y-axis represents the distance in miles.
The line passes through the points 
and 
To find: The rise-over-run value for the relationship in the graph.
Thus, the rise-over-run value for the relationship represented in the graph is 30.
Y=6x, 2x+3y=-20
Substitution means just plugging in another equation equal to a single variable in order to solve for the other variable, and then the first. In this case, the equation being plugged in is y=6x, so 6x will be put in place of y in the equation 2x+3y=-20.
2x+3(6x)=-20
2x+18x=-20
20x=-20
x=-1
And then x=-1 can be plugged into the original equation to find y. (And, if you wish, into the y= equation to check it.)
2(-1)+3y=-20
-2+3y=-20
3y=-20+2
3y=-18
y=-6
And to check it, we plug the two into the original y= equation.
y=6x
-6=6(-1)
-6=-6
They are equal, so both check out.
x=-1, y=-6
Answer: 
Step-by-step explanation:
By definition, the slope of the line is described as "Rate of change".
You need to use the following formula to calcualte the slope of the line;
In this case you know that the line passes through these two points: (8, -10) and (-6, 14).
Then, you can say that:
Knowing these values, you can substitute them into the formula for calculate the slope of a line:
Finally, you must evaluate in order to find the slope of this line. You get that this is:
Answer:
Number = 92
Step-by-step explanation:
Let the unit digit is x and that of tens digit is y.
ATQ,
x+y = 11 ....(1)
The unit's digit is 7 less than the ten's digit
x = y-7 ...(2)
Put the value of x from equation (2) in (1)
y-7+y = 11
2x-7 = 11
2x = 11+7
2x = 18
x = 9
Put the value of x in equation (1)
9+y = 11
y = 2
Hence, the number is 92.
Answer:
56 yds
Step-by-step explanation:
Simply add up all the sides to find your perimeter:
12 + 12 + 18 + 14 = 56
