Answer:
Step-by-step explanation:
X = 4,0
hypotenuse = sqrt(4^2 + (-sqrt(33))^2 )
hypotenuse = sqrt(16 + 33)
hypotenuse = sqrt(49)
hypotenuse = 7
Cos(theta) = 4/ 7
The cos looks like it should be negative, but it is positive in quad 4.
Step-by-step explanation:
The parallel line will have an equation of the form

We solve for b by plugging in the values of the point (3, -4):


Solving for b, we get

Therefore, the equation of the line parallel to 2x + 4y = 10 is

In standard form we can write
or 
The total length of Jiamin's trip was
distance = speed × time
distance = (52 mi/h) × (5 h) = 260 mi
The distance Jiamin traveled in her first 2 hours was
distance = (50 mi/h) × (2 h) = 100 mi
That means she traveled the last (260 -100) mi = 160 mi in the remaining 3 hours. Her average speed for that portion of the trip was
speed = distance / time
speed = (160 mi) / (3 h) = (160/3) mi/h ≈ 53 1/3 mi/h
Jiamin's average speed for the last 3 hours of her trip was 53 1/3 mi/h.
Answer:
a. (3,-1)
Step-by-step explanation:
You can see on the graph.
Subtract 21 from both sides
7x^2=-21
Divide by seven on both sides
X^2=-3
Square root both sides
***X= square root of -3***
:)