Answer:
A.-2/3
Step-by-step explanation:
formula of gradient
dy/dx=y2-y2/x2-x1
1-3/-2-(-5)
=-2/3.
Answer:
The required biconditional statement is: If Smith is guilty, if and only if Jones is innocent.
Step-by-step explanation:
From the provided statement.
The statement is: If Smith is guilty, then Jones is innocent.
The converse is: If Jones is innocent, then Smith is guilty.
The combination of a conditional statement and its converse is called biconditional statement.
The biconditional statement contains if and only if phrase between two part of the statement.
Which means the statement and converse both are true.
Therefore, the required biconditional statement is: If Smith is guilty, if and only if Jones is innocent.
3 : 3 times 6 is 18, 2 times 9 is 18 and 3 times 3 is 9 plus 9 is 18
Answer:
<h2>36.14 pounds of 34% copper alloy and 9.86 pounds of 48% copper alloy</h2>
Step-by-step explanation:
First alloy contains 34% copper and the second alloy contains 48% alloy.
We wish to make 46 pounds of a third alloy containing 37% copper.
Let the weight of first alloy used be
in pounds and the weight of second alloy used be
in pounds.
Total weight =

Total weight of copper = 

Subtracting 34 times first equation from second equation,

∴ 36.14 pounds of first alloy and 9.86 pounds of second alloy were used.
Answer:
a = 44 is correct
Step-by-step explanation:
a + 4 = 48
plug in the #'s 1 at a time
43 + 4 = 48
47 = 48 FALSE
51 + 4 = 48
55 = 48 FALSE
44 + 4 = 48 TRUE
52 + 4 = 48 FALSE
Hope this Helps!!!