The slope of AC is -0.4
Proof:
In triangles ABC and DBE,
∠DBE is common to both triangles.
AB = 2DB (D is the midpoint of the interval AB)
Also, BC = 2BE (E is the midpoint of the interval BC)
Thus triangles ABC and DBE are similar in the ratio 2:1
Since, they are similar, ∠BDE must equal ∠BAC (corresponding angles in similar triangles)
If ∠BDE = ∠BAC, DE must be parallel to AC (corresponding angles are equal along parallel lines)
Thus, the slope of AC = the slope of DE
Thus, the slope of AC is -0.4
Answer: The value of y is 39.6 when x = 11 and the required expression is y(11) = 39.6
Step-by-step explanation:
Since we have given that
y varies directly as x.
If y = 18, when x = 5.
So, we need to find the value of y when x is 11.
According to question, we get that

Hence, the value of y is 39.6 when x = 11 and the required expression is y(11) = 39.6
.21 is decimal form, 21/100 is the fraction in simplest form.
Answer: 
Step-by-step explanation:
The exponent 1/3 is the same thing as cube rooting the expression.
![\sqrt[3]{27\sqrt[3]{z^2} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B27%5Csqrt%5B3%5D%7Bz%5E2%7D%20%7D)
3*
Hope it helps <3