Answer:
Step-by-step explanation:
<u>Standard form of quadratic function:</u>
<u>Vertex form:</u>
<u>Convert the given function by completing a square:</u>
y = x² - 8x - 3 =
x² - 2*4*x + 4² - 4² - 3 =
(x - 4)² - 19
Answer:
Option C - 9 AU
Step-by-step explanation:
To find : What is the average distance from Planet B to the star?
Solution :
According to kepler's law,
The squares of the sidereal periods (of revolution) of the planets are directly proportional to the cubes of their mean distances from the Sun.
i.e. 
We have given,
The average distance from the star to Planet A is
AU.
It takes 432 Earth days for Planet A to orbit the star i.e. 
It takes 1,460 days for Planet B to complete an orbit i.e. 
Substitute the values in 


Taking root cube both side,
![\sqrt[3]{0.0875}=\frac{4}{S_2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B0.0875%7D%3D%5Cfrac%7B4%7D%7BS_2%7D)



The average distance from Planet B to the star is 9 AU.
Therefore, Option C is correct.
The width is basically the diameter:
Given
Diameter = 5.5 cm
So Radius =

=

= 2.75 cm
Height of cylinder = 12.5 cm
Formula of the volume of a cylinder
V = Area of base × height of prism
=

r² × h
=(2.75)² (

) × 12.5
=7.5625

× 12.5
≈ 296.83 cm³
Answer:
A is the answer
Step-by-step explanation:
Answer:
The missing angle is 128°
Because corresponding angles are equal.
The angle pair is called <em><u>corresponding</u></em><em><u> </u></em><em><u>angles</u></em><em><u> </u></em>