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:343 m
Step-by-step explanation:
Given
launch velocity of object is 
height of Platform 
height of object is given by
For maximum height velocity of object is zero
i.e. 
Therefore after 1 sec object achieves maximum height
Step-by-step explanation:
slope of the segment through (-9, -8) and (-5, 6) is (-9-(-5))/(-8-6)=-(-4)/(-14)=2/7
this means the slope of the perpendicular is -7/2.
the midpoint of the segment is (-7, -1)
so the line is y+1=(-7/2)(x+7).
Answer:
Step-by-step explanation:
If you have any questions feel free to ask in the comments.
In an earlier chapter we learned that
32=3⋅3=9
We said that 9 was the square of 3. The square of -3 is 9 as well
(−3)2=(−3)⋅(−3)=9
3 and -3 are said to be the square roots of 9.
All positive real numbers has two square roots, one positive square root and one negative square root. The positive square root is sometimes referred to as the principal square root. The reason that we have two square roots is exemplified above. The product of two numbers is positive if both numbers have the same sign as is the case with squares and square roots
a2=a⋅a=(−a)⋅(−a)
A square root is written with a radical symbol √ and the number or expression inside the radical symbol, below denoted a, is called the radicand.
a−−√
To indicate that we want both the positive and the negative square root of a radicand we put the symbol ± (read as plus minus) in front of the root.
±9–√=±3
Zero has one square root which is 0.
0–√=0
Negative numbers don't have real square roots since a square is either positive or 0.
If the square root of an integer is another integer then the square is called a perfect square. For example 25 is a perfect square since
±25−−√=±5
If the radicand is not a perfect square i.e. the square root is not a whole number than you have to approximate the square root
±3–√=±1.73205...≈±1.7
The square roots of numbers that are not a perfect square are members of the irrational numbers. This means that they can't be written as the quotient of two integers. The decimal form of an irrational number will neither terminate nor repeat. The irrational numbers together with the rational numbers constitutes the real numbers.
Example
irrationalnumber⇒19−−√≈4.35889...
rationalnumber⇒0.5=12
