Answer:
16
Step-by-step explanation:
b=16
Following the pattern, we can assume that each term adds by 1. So 15+1 = 16.
Answer: The greatest distance, in feet is the first one 3ft.
Answer:
C. Centroid
Step-by-step explanation:
The circumcenter is the center of a triangle's circumcircle (circumscribed circle over triangle). It can be found as the intersection of the perpendicular bisectors.
The incenter is the center of the incircle (inscribed circle into a triangle) of a triangle. The incenter can be constructed as the intersection of angle bisectors.
Centroid is the point where the three medians of the triangle intersect.
The intersection of the three altitudes of a triangle is called the orthocenter.
Since three medians intersect at point which divides each median into 2:1 ratio, the answer is centroid.
Answer:
Step-by-step explanation:
Try dividing the first equation by 3. The result will be identical to the second equation. Thus, we have two lines that coincide, and therefore there are an infinite number of solutions.
The heat produced by current I is
H = I²R
where
R = resistance.
According to the formula, heat produced is proportional to the square of the current.
When a current of I = 2 amps is applied, the heat produced is
H = 10x³ + 80.
This heat includes heat due to a fixed current of 2 amps, and heat due to a variable current of x amps.
Because the heat produced is proportional to the square of the current, write the expressions as
H = (10x)*(x²) + 20*(2²)
The second term on the right is heat due to the fixed current of 2 amps, written as
20*(2²).
Therefore the fixed resistance is R = 20 ohms, and the square of the fixed current is 2².
The first term represents heat due to variable resistance, written as
(10x)*(x²).
Therefore the variable resistance is 10x, and the square of the variable current is x².
Answer:
The variable current is 10x.
