Answer:
2/5
Step-by-step explanation:
it is the opposite reciprocal of the slope
The expressions BC and AB are illustrations of straight lines
The length AC is 25 units
<h3>How to determine the length of AC?</h3>
The given parameters are:
BC =7
AB = 16
Assume that AB and BC are straight lines.
Then , we have:
AC =AB + BC
Substitute known values
AC = 16 + 7
Evaluate the sum
AC = 25
Hence, the length AC is 25 units
Read more about lengths at:
brainly.com/question/2005046
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:
-27
5
10
-13
Step-by-step explanation:
-9*3=-27 -*+=-
-25/-5=5 -/-=+
7-(-3)=7+3=10 -(-)=+
-2+-11=-13 -+-=-
Correct ~~~~~~~~~~~~~~~~~~~~~~
