Answer:
The rate of change of the distance between the cars at that instant is 5.46 meters per second
Step-by-step explanation:
Speed of first car = 7 m/s
Speed of second car = 3 m/s
At instant, distance of first car from intersection = 5 meters
distance of second car from intersection = 12 meters
Therefore, we have
Distance between both cars at intant = √(12² + 5²) = 13 m
Rate of cahnge of distance is given by;
2ddd/dt = d(x² + y²)/dt = 2xdx/dt + 2ydy/dt
= 26dd/dt = 2×5×7 + 2×12×3 = 142
dd/dt = 142/26 = 5.46 m/s.
That is the rate of change of the distance between the cars at that instant = 5.46 meters per second.
Answer:
ASA Congruence Postulate
Step-by-step explanation:
Here if we clearly observe ∠DAC=∠BCA and ∠DCA=∠BAC
Also AC is a common side to both the triangles .
So by ASA congruence postulate we have that the ΔADC and ΔCBA are congruent.
ASA congruence postulate states that if two triangles have two angles and an included side same then both the triangles are congruent.
Answer:
b
Step-by-step explanation:
A line perpendicular to the x- axis is a vertical line parallel to the y- axis with equation
x = c
where c is the value of the x- coordinates the line passes through
The line passes through (1, - 2 ) with x- coordinate 1 , then
x = 1 ← equation of perpendicular line
Answer:
2x + 6
Step-by-step explanation:
distribution
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