Answer:
Part A: Option 2, A: Anna’s answer is incorrect. She correctly factored out 5x, but incorrectly identified a and b, so her answer cannot be correct.
Part B: Option 3, B: 5x(x+2)(x^2−2x+4)
Step-by-step explanation:
p(x) = 5x^4 + 40x
p(x) = 5x(x^3 + 8)
p(x) = 5x(x + 2)(x^2 - 2x + 4)
Part A: Option 2, A: Anna’s answer is incorrect. She correctly factored out 5x, but incorrectly identified a and b, so her answer cannot be correct.
Part B: Option 3, B: 5x(x+2)(x^2−2x+4)
Answer:
Step-by-step explanation:
The diagonal gives you a 30°-60°-90° triangle. The lengths of the sides of a 30°-60°-90° triangle are in the ratio 1:√3:2.
The side opposite the 60° angle is 12 ft.
The side opposite the 30° angle is 12/√3 ft
The side opposite the 90° angle is 2×12/√3 = 24/√3 = 24√3/3 = 8√3 ft
Answer:
RS = 20
ST = 40
Step-by-step explanation:
R____S____T
RS + ST = RT
3x - 16 + 4x - 8 = 60
3x + 4x - 16 - 8 = 60
7x - 24 = 60
+24 +24
--------------------------------
7x = 84
/7 /7
---------------------------------
x = 12
Let's use what we got for x to find the length of ST and RS
ST = 4x - 8
= 4(12) - 8
= 48 - 8
ST = 40
RS = 3x - 16
= 3(12) - 16
= 36 - 16
RS = 20
so, RS = 20, ST = 40, and RT = 60
Answer:
sec(theta)=1/cos(theta)
Step-by-step explanation:
sec(theta)=1/cos(theta)