Answer:
Step-by-step explanation:
First, we convert the mixed numbers into improper fractions: 
, and 
. Now, we multiply the fraction using the multiplication rule, 
: 
.
Thus, the product of the two given fractions is 55/14.
A dilation occurs when the scale is greater than 1 from the center of the dilation. When the scale is less than 1 from the center it is a contraction. Since distance from center can be positive or negative, the contraction will occur with a scale factor of
B. -0.8 and
D. 0.8
58057, 58058, 58059 are the numbers!
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
Es la b 1DM 5c 6d 0U
4.350+2.710+3.500= 10.560
Nacieron 10.560 productos en la huerta.
