The equivalent equation is x² + 20x = -102
<h3>
Simplification of quadratic equation</h3>
The equivalent equation can be obtained by factorizing or simplifying the given quadratic equation as shown below;
x² + 20x + 81 = -21
<em>collect similar terms together</em>
x² + 20x + 81 + 21 = 0
x² + 20x + 102 = 0
The equation can also be written as x² + 20x = -102
Thus, the equivalent equation is x² + 20x = -102
Learn more about simplification of quadratic equation here: brainly.com/question/1214333
Cone Volume = (PI * radius^2 * height) / 3
3 = (PI * radius^2* x) / 3
radius^2 = 9 / (PI * x)
radius = square root (9 / (PI * x))
For this case what you have is the same as a rectangle triangle where you have as data the degree of inclination of the hypotenuse with respect to the base and the height of the triangle.
We have to find the value of the hypotenuse.
For this we use the following trigonometric relationship:
senx = C.O / h
Where
x: angle
C.O: opposite leg
h: hypotenuse.
Substituting the values we have:
sen (12) = 100 / h
We cleared h:
h = 100 / sin (12)
h = 480.97 m
Answer:
Galileo should walk 480.97 m up the inclined plane
Answer:
Hello there!
Since he had 6 candies and lost two, all you have to do is subtract 2 from 6.
Therefore, Jerry only has 4 candies.
Hope this helps!!!
Step-by-step explanation:
Answer:
$13,082.60 more
Step-by-step explanation:
Melanie:

Amelia:

Amelia-Melanie= $13,082.60