a. The equation that relates Ann's age (x) and Tom's age (y) is a line
The slope-intercept form of a line is:
y = mx + b
where m is the slope and b is the y-intercept.
The slope of the line that passes through the points (x1, y1) and (x2, y2) is computed as follows:
From the table, the line passes through the points (4, 8) and (8, 12), then its slope is:
Substituting with m = 1 and the point (4, 8) into the general equation, we get:
8 = 1(4) + b
8 = 4 + b
8 - 4 = b
4 = b
Finally, the equation that compares Tom's and Ann's age is:
y = x + 4
b. To graph the line y = x + 4, we need to draw two points and then connect them with a line. Replacing with x = 0 into the equation:
y = 0 + 4
y = 4
then, the point (0, 4) is on the line. And we can also use the point (4,8)
Answer:
Remove 1 x-tile from both sides.
Remove 3 unit tiles from both sides.
Step-by-step explanation:
2x + 3 = x + 5
First we want all the variables on one side
Subtract x from each side so Remove 1 x-tile from both sides.
x+3 = 5
Now we need to get all the constants on the same side
Subtract 3 from each side so Remove 3 unit tiles from both sides.
x = 5-3
x=2
Answer:
Step-by-step explanation:
15 minutes = 1/4 hour
Therefore:
75 * 4 = the number of people riding in one hour
Thus:
the # of people riding in 1 hour * 4 = the # of people riding in 4 hours
Answer:
A, 0.13 mph.
Step-by-step explanation:
To get that, divide the cm/sec by 44.704.
6/44.704 ≈ 0.13
Answer:
Step-by-step explanation:
-The volume of a cylinder is given by the formula:
#We make r the subject of the formula:
#We then substitute for the stated volume and solve for r:
Hence, the cylinder's radius is approximately 5.00 ft
