Answer:
5/4
Step-by-step explanation:
Use the slope formula
Answer:
The solutions of the equation are 0 , π
Step-by-step explanation:
* Lets revise some trigonometric identities
- sin² Ф + cos² Ф = 1
- tan² Ф + 1 = sec² Ф
* Lets solve the equation
∵ tan² x sec² x + 2 sec² x - tan² x = 2
- Replace sec² x by tan² x + 1 in the equation
∴ tan² x (tan² x + 1) + 2(tan² x + 1) - tan² x = 2
∴ tan^4 x + tan² x + 2 tan² x + 2 - tan² x = 2 ⇒ add the like terms
∴ tan^4 x + 2 tan² x + 2 = 2 ⇒ subtract 2 from both sides
∴ tan^4 x + 2 tan² x = 0
- Factorize the binomial by taking tan² x as a common factor
∴ tan² x (tan² x + 2) = 0
∴ tan² x = 0
<em>OR</em>
∴ tan² x + 2 = 0
∵ 0 ≤ x < 2π
∵ tan² x = 0 ⇒ take √ for both sides
∴ tan x = 0
∵ tan 0 = 0 , tan π = 0
∴ x = 0
∴ x = π
<em>OR</em>
∵ tan² x + 2 = 0 ⇒ subtract 2 from both sides
∴ tan² x = -2 ⇒ no square root for negative value
∴ tan² x = -2 is refused
∴ The solutions of the equation are 0 , π
Answer:
the answer is Length of each string = 195/8 inch
Total length= 100*12 = 1200 inch
Number of pieces = Total length/ Length of each piece = 1200/ (195/8)= (1200*8)/195
Step-by-step explanation:
Answer:
-4 to 3
Step-by-step explanation:
look at the first number in each set then find the smallest and the biggest that is how you find range
Answer:
29
Step-by-step explanation:
For the two digit numbers it has to end in a zero or five and be greater than 9 and below 100.
There are 18 multiples of 5 that are 2 digit
For multiples of 7... it's easier to write it out because the total number will will less than 20.
There are 13 multiples of 7 that are 2 digits
Now you have to subtract the multiples of 7 that end in a 0 or 5
That give you 11 multiples
Add 11 and 18 to get 29
