Answer:
2 x^2 (2 x - 3) (x^2 + 1)
Step-by-step explanation:
Factor the following:
4 x^5 - 6 x^4 + 4 x^3 - 6 x^2
Factor 2 x^2 out of 4 x^5 - 6 x^4 + 4 x^3 - 6 x^2:
2 x^2 (2 x^3 - 3 x^2 + 2 x - 3)
Factor terms by grouping. 2 x^3 - 3 x^2 + 2 x - 3 = (2 x^3 - 3 x^2) + (2 x - 3) = x^2 (2 x - 3) + (2 x - 3):
2 x^2 x^2 (2 x - 3) + (2 x - 3)
Factor 2 x - 3 from x^2 (2 x - 3) + (2 x - 3):
Answer: 2 x^2 (2 x - 3) (x^2 + 1)
Answer:
GI = 18; GE = 12; IE = 6
Step-by-step explanation:
The key to the question is to realize or find out what a centroid is and what it does. You can solve this question by knowing three things.
- The centroid is the meeting point of the three medians ( a median is a line that connects the midpoint of the side opposite a given vertex).
- The centroid divides the median in a ratio of 2:1. The longest segment is from the vertex to the centroid.
- The shortest segment is from the centroid to the midpoint of the side opposite the given vertex.
Point two is what you have to focus on.
GE/EI = 2/1
GE = 12 Given
Solution
GE / EI = 2/1 Substitute for the given
12 / EI = 2/1 Cross multiply
2*EI = 12 * 1 Simplify the right
2 * EI = 12 Divide by 2
EI = 12/2 Divide
Part Two
GI = EI + GE
GI = 6 + 12
GI = 18
EI = 6
Answer:
25.1349955242 m²
Explanation:
C = 2√πA
This means that the circumference is 2 multiplied by the square root of pi. multiplied by the area.
Pi. - 3.14
Area - 50.3
√πA - 12.5674977621
2 · 12.5674977621 = 25.1349955242
Circumference - 25.1349955242
Answer: 3.83m^3
Step-by-step explanation:
Use formula for volume of a triangular prism (Area of triangle times length of the figure)
-2x+6=-8+10x
12x=14
6x=7
x=7/6
