Answer:
Blue - y=-2
Red-
Parallel to Red-
Perpendicular to Red-
Step-by-step explanation:
The slope intercept of a line is y=mx +b where
- m is the slope which is calculated as the vertical distance divided by the horizontal distance between two points.
- b is the y-intercept for value on the y-axis for which the line crosses it.
The Blue line intercepts the y-axis at -2 so b=-2. It has no vertical change since it is a horizontal line. This means the slope, m, is 0. m=0. It's equation is y=0x-2
y=0-2 since anything times 0 is 0.
y=-2.
The red line intercepts the y-axis at 2 so b=2. It intercepts the x-axis at (-3,0). Between these two intercepts we can find the slope:
Slope:
We substitute and
The red line has equation .
Parallel lines have the same slope with a different y-intercept. So we write a line where m=2/3 and b is something else.
Perpendicular lines have a negative reciprocal slope to the original. So we write the line where m/-3/2.
The third choice is correct and can be found by plugging the values into Point-Slope Form.
The response time includes the round-trip signal time plus the robot's travel time.
59 min = 2*(9.5 min) +travel time
59 min -2*(9.5 min) = travel time = 40 min
The speed is distance / travel time
speed = (52.8 m)/(40 min) = 1.32 m/min
The robot's average speed was 1.32 meters per minute.
There is no ones place after the decimal so 3 is in the tenth place, so 2.4
You can cut fifteen 1 2/3 lengths of wire from 25 yards.