Answer:
60 mph
Step-by-step explanation:
Given;
Total distance covered d = 440 miles
Average speed in the first 4 hours v1 = 50 mph
Total time taken for the whole trip t = 8:00 to 4:00pm
t = 16:00-8:00 = 8 hours
Firstly we need to calculate the distance covered during the first 4 hours;
d1 = average speed × time = v1 × t1
t1 = 4
d1 = 50 × 4 = 200 miles
Then we need to calculate the distance covered in the second period of the journey;
d = d1 + d2
d2 = d - d1
Substituting the values;
d2 = 440 - 200
d2 = 240 miles
The time taken for the second period of travel t2;
t2 = t -t1 = 8-4
t2 = 4 hours
Average speed = distance travelled ÷ time taken
The average speed for the second part of the trip v2 is;
v2 = d2 ÷ t2
Substituting t2 and d2;
v2 = 240 miles ÷ 4 hours
v2 = 60 mph
The average speed during the second part of the trip is 60 mph
Answer:
okay..so how was your day tdy?
Answer:A function whose graph is an unbroken line or curve with no gaps or breaks. Direct Variation
Step-by-step explanation:
A function whose graph is an unbroken line or curve with no gaps or breaks. Direct Variation. A linear relationship between two variables, x and y, that can be written in the form y=kx, where k is a nonzero constant. Discontinuous Function. A function whose graph has one or more jump, breaks, of holes.
Consider two right triangles ΔKML and ΔOPQ. From the diagram you can see that:
- KL≅OQ (hypotenuses);
- ∠MLK≅∠OQP (adjacent angles to the hypotenuses).
Then you can use HA theorem that states: "If the hypotenuse and an acute angle of one right triangle are congruent to the hypotenuse and an acute angle of another right triangle, then the two triangles are congruent."
Answer: correct choice is B.
Answer:
slope = - 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (4, - 5) and (x₂, y₂ ) = (- 2, 1)
m =
=
= - 1