Answer:
The equation for the line of reflection will be x = y.
Step-by-step explanation:
On a coordinate plane, triangle Δ ABC has points (6, 3.7), (5.4, 2), (1, 3). Triangle Δ A'B'C' has points (3.7, 6), (2, 5.4), (3, 1).
And we have to find the equation of the line of reflection of the points.
Now, it is clear from the coordinates of vertices of Δ ABC and Δ A'B'C' that after reflection the x and y-values of the respective coordinates interchange and there is no change in signs.
Therefore, the equation for the line of reflection will be x = y. (Answer)
Answer:
Step-by-step explanation:
d
Answer:
The area of the triangular sail is 216 ft²
Step-by-step explanation:
Since the sail is triangular, we solve the area using the area of a triangle
Area of triangle = 1/2 of base × height
base is 18 and height is 24
Area = 1/2 × 18 × 24
= 9×24
= 216 ft²
Answer:
A. It is at the gas station
Step-by-step explanation:
Answer:
80 feet
Step-by-step explanation:
Given:
Initial speed of the car () = 40 ft/sec
Deceleration of the car () = -10 ft/sec²
Final speed of the car () = 0 ft/sec
Let the distance traveled by the car be 'x' at any time 't'. Let 'v' be the velocity at any time 't'.
Now, deceleration means rate of decrease of velocity.
So,
Negative sign means the velocity is decreasing with time.
Now, using chain rule of differentiation. Therefore,
Integrating both sides under the limit 40 to 0 for 'v' and 0 to 'x' for 'x'. This gives,
Therefore, the car travels a distance of 80 feet before stopping.