We have the equations d=55t and d=20g. The left sides match, as do the right sides. First, we derive the equation: 55t=20g. Then, we can deduce that g=(55/20)t. If t=6 hours, then g=(55/20) *6 = 165/10=16.5 gallons. The distance can be calculated as d= 55t= 55*6=330 miles, which is also equal to d=20g=20*16.5=330 miles.
Response:
(0,-7)
Detailed explanation:
For any point designated as (x,y)
x represents the abscissa, which can also be referred to as the x-axis coordinate, while
y represents the ordinate, also known as the y-axis coordinate
ordinates are the points along the y-axis.
For any point situated on the y-axis, its x-coordinate will always be 0
given that the ordinate is -7. This indicates that the y-coordinate takes the value of -7
Thus, the coordinates of the point are (0,-7)
Response:
We define a line L.
In a two-dimensional space, a line can be expressed as follows:
y = a*x + b
where 'a' denotes the slope and 'b' represents the y-intercept.
To determine the slope for a line passing through points (x1, y1) and (x2, y2), the formula is:
a = (y2 - y1)/(x2 - x1).
Using one of these points will help to find the value of 'b'.
Once we have the line's equation:
y = a*x + b
we can substitute in a specific point (x, y)
to verify if the equation holds true. If it does, that point lies on the line L.
