Answer:
35z at the power of 6 times d at the power of 11
Step-by-step explanation:
add the z's power together then the d's power
Answer:
67
Step-by-step explanation: Given the quadratic equation $z^2 + bz + c = 0$, Vieta's formulas tell us the sum of the roots is $-b$, and the product of the roots is $c$. Thus,
\[-b = (-7 + 2i) + (-7 - 2i) = -14,\]so $b = 14.$
Also,
\[c = (-7 + 2i)(-7 - 2i) = (-7)^2 - (2i)^2 = 49 + 4 = 53.\]Therefore, we have $b+c = \boxed{67}$.
There are many other solutions to this problem. You might have started with the factored form $(z - (-7 + 2i))(z - (-7 - 2i)),$ or even thought about the quadratic formula.
This is the aops answer :)
If the points are
collinear, then that would mean that the points lie on the same line when joined
to each other. In order to confirm this, the distances between the points must
sum up to the length of the line.<span>
AB + BC = AC
7 + 4 ? 9
11 ≠ 9
<span>Since they do not sum up, therefore, the points are not
collinear.</span></span>
For Ava if It’s 11 months and for mark it is 15 months and the number is 1,650! (I spent time doing this, and I did. Calculation to make sure you would get this right!)
Area of triangle = 24cm
Area of rectangle = 120
therefore, w x 12 = 120
w = 10