Answer:
2 - 
Step-by-step explanation:
Using the addition formula for tangent
tan(A - B) = 
and the exact values
tan45° = 1 , tan60° = , then
tan15° = tan(60 - 45)°
tan(60 - 45)°
= 
= 
Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator.
The conjugate of 1 + is 1 -
= 
← expand numerator/denominator using FOIL
= 
= 
= 
+ 
= 2 -
Answer:
6.3
Explanation:
To get from 4.5 to 5.4, you need to add 0.9. If you add 0.9 two more times, you get 7.2. Therefore, the middle term should be 6.3. I don't know if you made a typo and forgot the decimal when writing the options cause it says "63", but I believe the answer is 6.3.
Answer:
f(x) is reflected over the x-axis and vertically scaled by a factor of 3
Step-by-step explanation:
If you compare the two functions, you see that ...
g(x) = -3f(x)
Multiplication by -1 effects a reflection over the x-axis. (All y-values are transformed to their opposite.)
Multiplication by 3 is a vertical scaling by a factor of 3.
Taken together, f(x) is reflected over the x-axis and vertically scaled by a factor of 3.
Answer:
-2(x+2)(4x-35)
Step-by-step explanation:
Factor out the 2 and by grouping.
No
The exponent to the power 4 means multiply the base, which is 10 here, by itself 4 times
10 x 10 x 10 x 10 = 10,000
If it was 10 x 4, it would be 40, but we're dealing with exponents here.
:)
