Answer:
The two numbers are <em>16</em> and <em>26</em>.
Step-by-step explanation:
We can solve this question using 2 simultaneous equations based on the given information from the question.
Let number 1 = x
Let number 2 = y
xy = 416 -> ( 1 )
x + y = 42 -> ( 2 )
We can use either substitution or elimination to solve simultaneous equations. For this question, we will use substitution as it is the easier and shorter option.
Make y the subject in ( 2 ):
x + y = 42 -> ( 2 )
y = 42 - x -> ( 3 )
Substitute ( 3 ) into ( 1 ):
xy = 416 -> ( 1 )
x ( 42 - x ) = 416
42x - x^2 = 416
-x^2 + 42x - 416 = 0
- [ x^2 - 42x + 416 ] = 0
- [ x^2 - 16x - 26x + 416 ] = 0
- [ x ( x - 16 ) - 26 ( x - 16 ) ] = 0
- ( x - 16 ) ( x - 26 ) = 0
x = 16 -> ( 4 ) , x = 26 -> ( 5 )
Substitute ( 4 ) into ( 3 ):
y = 42 - x -> ( 3 )
y = 42 - ( 16 )
y = 26
Substitute ( 5 ) into ( 3 ):
y = 42 - x -> ( 3 )
y = 42 - ( 26 )
y = 16
Therefore:
x = 16 , y = 26
x = 26 , y = 16
The two numbers are 16 and 26.
B. 5, 9
x = 5
y = 9
y - x = 4
(9) - (5) = 4
True
hope this helps
Answer:
The Middle Colonies
Philadelphia, "The City on the Hill," was the biggest city in all the colonies. When the Revolutionary War broke out, representatives from all the colonies met in Philadelphia for the First Continental Congress. Philadelphia became the first capital of the new continental government.
Step-by-step explanation:
Hope this <em><u>Helped!</u></em> :D
Credit sourced from "www.sedelco.org"
Answer:
a
Step-by-step explanation:
everything else there are gaps in between like b and in c they are overlapping
Answer: 6/4 quarts
Step-by-step explanation:
2/8 + 4/8 = 6/8
There is a common denominator so you add 2 + 4 =6 over 8.
