898316287940
hope this helps, back to my hole i go
Answer:
The statement is wrong. a-b can be positive but not always.
Step-by-step explanation:
There can be three possible situations that are:
- a>b
- a<b
- a=b
Now taking first condition, the result will be positive because a smaller integer is subtracted from a greater one. Such as 5-2=3
In second condition, the result will be negative because a greater integer is subtracted from smaller one. Such as 2-5= -3
In the third condition, the result will always be zero because both the integers will cancel each other. Such as 5-5=0
Answer:
YES. (2, 7) is a solution of the system.
Step-by-step explanation:
System of linear inequalities has been given as,
y ≥ -x + 1 --------(1)
y < 4x + 2 ------(2)
If (2, 7) is a solution of the given system of inequalities, it will satisfy both the inequalities.
By substituting the coordinates of point (2, 7) in inequality (1),
7 ≥ -2 + 1
7 ≥ -1
True.
By substituting the coordinates of point (2, 7) in inequality (2),
7 < 4(2) + 1
7 < 9
True.
Therefore, point (2, 7) lie in the solution area of system of inequalities.
YES. (2, 7) is a solution of the system.
There are two ways you could go about solving this.
You could divide the length of the base (6mm) by 2 and use that to find the area or you could find the area of the whole triangle using 6mm and divide that by 2.
I will use the first method I described:
base = 6/2
base = 3 mm
height = 5.2 mm
area = bh/2
area = (3 * 5.2)/2
area = 7.8 square mm
(don't forget your units)
Using the other method would look like this:
area = bh/2
b = 6
h = 5.2
area = (6 * 5.2)/2
area = 15.6 square mm
area/2 = 7.8 square mm
As you can see either method yields the same result.
Hope this helped.
Cheers and good luck,
Brian