Answer:
0
Step-by-step explanation:
- 2×3= - 6
2×3=6
-6+6=0
Note: Options are missing. So, the general solution of the given inequality is shown below.
Given:
The inequality is:

To find:
The point lies in the solution set of the given inequality.
Solution:
We have,

It can be written as:




All the points that satisfy the above inequality are in the solution set of the given inequality.
For example (0,0).


This statement is true. It means (0,0) is in the solution set.
For example (0,3).


This statement is false. It means (0,3) is not in the solution set.
The graph of the inequality
is shown below.
All the points in the shaded region are in the solution set but the points on the boundary line are not in the solution set.
Answer:
<b= 48 degree
Step-by-step explanation:
<A + <B + <C = 180 degree (Sum of angles in a triangle)
<A = 90 degree
<B = 2x + 14 degree
<C = 4x - 26 degree

Therefore, <B = 2x + 14 = 2(17) + 14 = 34 + 14 = 48
<b = 48 degree
Answer:
The base has length 64 m.
Step-by-step explanation:
The area of a triangle = 1/2 * base * height so we have the equation:
256 = 1/2 * b * 8
4b = 256
b = 256/4 = 64 m.
The shadow lengthened by 2.25 ft.
<u>Step-by-step explanation:</u>
Height of the lamppost is not needed here.
We can write the ratio as,
5 /4 = x/5
25 = 4x
x = 25/ 4
Now it is not needed to find the length of the new shadow, and so, we need to find the length of the added shadow.
25 / 4 - 16/ 4 = 25 - 16 / 4 = 9/4 = 2.25 ft
Length of the new shadow is 25/ 4 = 6.25 ft
So length of new shadow - length of old shadow = 6.25 - 4 = 2.25 ft shadow lengthened