Answer:
600
Step-by-step explanation:
Answer:
0.8181818
Step-by-step explanation:
3/11×3 = 0.8181
-2a-9=6a+15
Move 6a to the other side. Sign changs from +6a to -6a.
-2a-6a-9=6a-6a+15
-2a-6a-9=15
-8a-9=15
Move -9 to the other side. Sign changes from -9 to +9.
-8a-9+9=15+9
-8a=15+9
-8a=24
Divide both sides by -8
-8a/-8=24/-8
a=-3
Answer: a=-3
Answer: 
Step-by-step explanation:
To find the slope of the line , we will write the equation in the form:
where:
slope
y - intercept.
To write 
in this form , we will make y the subject of the formula.
Subtract 4x from both sides
Divide through by 2
Therefore :
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
