Answer:
<em>(A). x ≥ </em>
<em> and x ≤ - </em>
<em> </em>
Step-by-step explanation:
5x - 4 ≥ 12 ⇔ 5x ≥ 16 ⇒ <em>x ≥ </em>
<em> </em>
<em>and </em>
12x + 5 ≤ - 4 ⇔ 12x ≤ - 9 ⇔ 4x ≤ - 3 ⇒ <em>x ≤ - </em>
Answer:
<u>70 square units</u>
Step-by-step explanation:
<em>I have plotted the points on the coordinate system and connected roughly using a red line. Image is attached. </em>
The arrow created, consists of a TRIANGLE and a RECTANGLE. The area of the arrow would be:
Area of Arrow = Area of Triangle + Area of Rectangle
Area of Triangle = 0.5 * base * height
Base is 12 units
Height is 7 units, so
Area of Triangle = 0.5 * 12 * 7 = 42
Now,
Area of Rectangle = length * height
Length is 7
Height is 4
Area of Rectangle = 7 * 4 = 28
<u>Area of Arrow = 42 + 28 = 70 square units</u>
Since, the number w and 0.8 are additive inverses.
A number 'a' is said to have an additive inverse '-a' if "a+ (-a)= 0".
Since, 'w' and '0.8' are additive inverses of each other such that 
Therefore, the value of 'w' should be '-0.8' so that
.
So, the value of 'w' is =0.8
Now, Refer to the attached image which represents the position of 0.8 , w ( that is -0.8) and the sum of 0.8 and w.
Sum of 0.8 and w = 0.8 + w
= 0.8 +(-0.8)
= 0.