Answer:
y = 3/11(x) - 19/11
Step-by-step explanation:
Step 1: Subtract 3x from both sides.
Step 2: Divide both sides by -11.
Therefore, the answer is y = 3/11(x) - 19/11.
An ice cream cone has a height of 16 centimeters and a diameter of 4 centimeters. What is the volume of ice cream that can be co
1 answer:
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Answer:
The simplest form is tan(4x)
Step-by-step explanation:
* Lets revise the identity of the compound angles
-
-
* Lets solve the problem
- Let 9x = 5x + 4x
∴ tan(9x) = tan(5x + 4x)
- Use the rule of the compound angle
∵ ⇒ (1)
∵ ⇒ (2)
∵ tan(9x) = equation (2)
- Substitute (2) in (1)
∴
- Multiply up and down by (1 - tan(5x)tan(4x))
∴
- Simplify up and down
∴
∴
- Take tan(4x) as a common factor up
∴
- Cancel [1 + tan²(5x)] up and down
∴ The answer is tan(4x)
Answer:
x45
Step-by-step explanation:
Answer:
Part a) The speed is
Part b) After 4 seconds the trains is 24 ft along the track
Part c)
Step-by-step explanation:
we have
This is the equation of a line in slope intercept form
where
s(t) is the position of a model train in feet
t is the time in seconds
Part a) How fast is the train moving?
The speed of the train is equal to the slope of the linear equation so
The slope m is equal to
therefore
The speed is
Part b) Where is the train after 4 seconds?
For t=4 sec
substitute the value of t in the equation and solve for s
therefore
After 4 seconds the trains is 24 ft along the track
Part c) When will the train be 29 feet along the track?
For s(t)=29 ft
Substitute the value of s(t) in the equation and solve for t
subtract 14 both sides
Divide by 2.5 both sides
rewrite