Answer:
B.5: 5^2(-3)(+7)
Step-by-step explanation:
1. 5 is the HCF of the three numbers, so it goes outside the brackets. 5(^4+4^3−21^2).
2. ^2 is also a factor, so now its 5^2(^2+4-21)
3. Factor by Grouping 5^2(^2−3+7−21)
4. Factor by Grouping 5^2((−3)+7(−3))
5. Factor by Grouping 5^2(−3)(+7)
Thats your final answer.
Answer:
C. 4,4,
Step-by-step explanation:
a^2 + b^2 = c^2
4,4,
4^2 + 4^2 = ^2
16 + 16 = 32
32 = 32
Answer:
a = 4
b = 2√3
Step-by-step explanation:
Here, we want to get the missing side lengths
We start by looking at the values that we are given
from the question, a faces the right-angle and is called the hypotenuse; it is also the longest side
b faces the angle given and is also called the opposite
Lastly, the side marked 2 is the adjacent side
Now, the triangle given is called a 30-60-90 triangle
In a 30-60-90 triangle, the ratio of the sides are given as
1: √3:2
Thus, we have 1 as the adjacent
The opposite would be √3 * 2 = 2 √3 = b
Lastly , a = 2 * 2 = 4
Answer:
To count atoms in a molecule, add the subscripts of the molecule. Remember that if you do not see a subscript after a symbol, its subscript is 1. One molecule of water contains 3 atoms.
Step-by-step explanation:
The molecular formula for water is
H
2
O
, meaning there are 2 hydrogen atoms and one oxygen atom. I found this by adding the subscripts. 2 is the subscript on hydrogen, and 1 is the subscript on oxygen, so 2 + 1 = 3 atoms total.
For example, to count the number of atoms in one molecule of glucose,
C
6
H
12
O
6
, add the subscripts, so 6+12+6 is 24 atoms. Note that
C
6
H
12
O
6
is the molecular formula of glucose, not the empirical formula.
Answer:
58 seconds.
Step-by-step explanation:
Since one minute equals 60 seconds, Carlos took 63 seconds.
Orlando ran in 63 seconds - 5 seconds, which is equal to 58 seconds.