Answer:
k = -10
Explanation:
f(x) = 4x³ - 3kx² + 44x - 30
The divisor is:
Set divisor to zero:
Insert this into equation.
⇒ 4(2)³ - 3k(2)² + 44(2) - 30 = 210
⇒ 32 - 12k + 88 - 30 = 210
⇒ -12k + 90 = 210
⇒ -12k = 210 - 90
⇒ -12k = 120
⇒ k = 120/-12
⇒ k = -10
Answer:
2/5
Step-by-step explanation:
2/5=4/10
x + y = 24 where x and y are the 2 parts of diagonal Other diagonal wil be smaller that 24.
x^2 + z^2 = 13^2
y^2 + z^2 = 20^2 where z = 0.5 * length of smaller diagonal)
form last 2 equations
y^2 - x^2 = 20^2 - 13^2 = 231
now y = 24-x so we have
(24 - x)^2 - x^2 = 231
576 - 48x = 231
48x = 345
x = 7.1875
z^2 = 13^2 - 7.1875^2 = 117.34
z = 1.83
so smaller diagonal = 21.66 cm
looks like its the third choice.
