Answer:
f(3) = -16
Step-by-step explanation:
f(1) = -16
f(n) = f(n-1)
f(2) = f(2-1) = f(1) = -16
f(3) = f(3-1) = f(2) = -16
The diagram shows how the surface area can be "flattened" into two rectangles, one for the end triangles that is 6 cm by 5.3 cm, and one for the lateral area that is 13 cm by 19.3 cm.
The total area is
.. (6 cm)*(5.3 cm) +(13 cm)*(19.3 cm)
.. = 31.8 cm^2 +250.9 cm^2
.. = 282.7 cm^2
Answer:
Step-by-step explanation:
A 2nd order polynomial such as this one will have 2 roots; a 3rd order polynomial 3 roots, and so on.
The quadratic formula is one of the faster ways (in this situation, at least) in which to find the roots. From 2x^2 + 4x + 7 we get a = 2, b = 4 and c = 7.
Then the discriminant is b^2 - 4ac, or, here, 4^2 - 4(2)(7), or -40. Because the discriminant is negative, we know that the roots will be complex and unequal.
Using the quadratic formula:
-4 ±√[-40] -4 ± 2i√10
x = ------------------ = ------------------
4 4
-2 ± i√10
Thus, the roots are x = ------------------
2
Step-by-step explanation:
<AOF and <COD are vertical angles.
m<AOF = m<COD = 80°
Angle Addition Postulate m<BOF - m<AOF = m<AOB
m<AOB = 135° - 80° = 55°
Answer:
-7/18
Step-by-step explanation:
To multiply fractions, you just multiply the top number by the top number and the bottom number by the bottom number. Also, you have to watch the sign.
In this case, we have a positive fraction multiplied by a negative fraction, meaning that our answer must be negative.
So we have- 2x7 / 4x9.
This is simplified to be- 14/36, or 7/18.
However, the answer is actually -7/18, since the number must be negative.
Let me know if this helps.
