Answer:
All pair COMBINATION are supplementary (Opposite)
Step-by-step explanation:
According to theorem about inscribed quadrilateral
- The opposite interior angles of an inscribed quadrilateral are supplementary .
- I.e there sum is equal to 180°
<O+<Q=180
<P+<R=180
Answer: D
Step-by-step explanation:
Isosceles Triangle has 3 sides, that has 2 sides of equal length.
Equilateral Triangle has 3 sides, that has 3 sides all of equal length.
If you have heard of the Hypotenuse, it has 3 sides of all different lengths maybe that's what this? But, the answer would indeed be D. Form Neither an equilateral nor an isosceles triangle.
Happy Mathing!!
The position function of a particle is given by:
The velocity function is the derivative of the position:
The particle will be at rest when the velocity is 0, thus we solve the equation:
The coefficients of this equation are: a = 2, b = -9, c = -18
Solve by using the formula:
![t=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D)
Substituting:
![\begin{gathered} t=\frac{9\pm\sqrt[]{81-4(2)(-18)}}{2(2)} \\ t=\frac{9\pm\sqrt[]{81+144}}{4} \\ t=\frac{9\pm\sqrt[]{225}}{4} \\ t=\frac{9\pm15}{4} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20t%3D%5Cfrac%7B9%5Cpm%5Csqrt%5B%5D%7B81-4%282%29%28-18%29%7D%7D%7B2%282%29%7D%20%5C%5C%20t%3D%5Cfrac%7B9%5Cpm%5Csqrt%5B%5D%7B81%2B144%7D%7D%7B4%7D%20%5C%5C%20t%3D%5Cfrac%7B9%5Cpm%5Csqrt%5B%5D%7B225%7D%7D%7B4%7D%20%5C%5C%20t%3D%5Cfrac%7B9%5Cpm15%7D%7B4%7D%20%5Cend%7Bgathered%7D)
We have two possible answers:
We only accept the positive answer because the time cannot be negative.
Now calculate the position for t = 6:
Answer:
D
Step-by-step explanation:
((p^4*q)/p^8)^2.
p^4/p^8=p^(4-8)=p^-4=1/p^4
(q/p^4)^2=(q^2/p^8)
The least possible degree of polynomial is 2
