For this case, we have to define perpendicular lines:
We have then:
Then, according to the definition we have:
We observe that the definition is fulfilled, therefore, the lines are perpendicular.
Answer:
b. they are perpendicular
Answer:
Step-by-step explanation:
As we know that in an hour there are 3600 seconds so
1.8 x 3600 = 6480
6480 / 1609 = 4.02 miles / hr
4.02 - 2.5 = 1.5( by substracting the speed)
so correct option is D which is
Talia swims about 1.5 miles per hour faster than Alina
hope it helps
There are several information's of immense importance already given in the question.
Amount of juice that Tony actually had = 11/2 gallons
Amount of juice that Tony drank = (11/2) * (2/7) gallons
= 11/7 gallons
From the above deduction, we can easily conclude that the amount of juice that Tony drank was 11/7 gallons.
Answer: NO
Step-by-step explanation:
The functions that models the height of the ball is given as
h(t) = -5t2 + 40t + 100
Where
a = -5, b = 40, c = 100
The time the ball will reach the maximum height will be the vertex of the parabola. At the line of symmetry, the time t will be:
t = -b/2a
Substitute b and a into the formula above.
t = - 40 / -5 = 8
Substitute 8 for t in the function f(t)
h(t) = - 5(8)^2 + 40(8) + 100
h(t) = -5(64) + 40(8) + 100
Open the bracket
h(t) = -320 + 320 + 100
h(t) = 100
The maximum height of the ball is 100m
Given that the power lines is 185 metres above the ground. The golf ball will therefore not hit power lines because the maximum height the ball can go is 100 metres
