Answer:
(b) x ≤ -4
Step-by-step explanation:
There are a few things to note when reading an inequality on a number line.
The number line would contain the following:
i. <em>circles</em>: These can be closed or open. Closed circles are denoted by a shaded small circle showing that the point or number shown on the number line is included in the inequality. Open circles are denoted by an unshaded small circle showing that the point or number shown on the number line is not included in the range of inequality.
ii. <em>arrows</em>: An arrow can point to the right or left. When it points to the right, that means the values greater than the number specified on the number line are included in the range. When it points to the left, the values less than the number are included.
From the given number line,
The type of circle is a closed circle since it is shaded. This means that the number pointed at on the number line (-4 in this case) is included in the range.
Also, the arrow is pointing leftwards. This means that values less than the number pointed at (-4 in this case) are included in the range.
Therefore, the inequality should read,
x ≤ -4
This shows that all values of x less than or equal to -4 are included in the range.
Answer:
The answer would be 10.
Step-by-step explanation:
10 is the number that has the most number of dots above it.
Answer:
Volume = 
cubic inches
Step-by-step explanation:
A cube is the 3D version of a square. Since one side length is x inches, all the other side lengths are same, x inches each.
We know,
Volume = area of base * height
THe base is a square and the area is side * side. We know each side is x, so we have:
Area of Square = Area of Base = x * x = 
Now, we know height is also same side length, x, thus the volume becomes:
Volume = area of base * height
Volume = 
We add the exponents when we have same base multiplied, so the expression for volume becomes:
Volume = 
Step-by-step explanation:
it all starts with the understanding that "midpoint" means that the line segments on both sides have the exact same length.
this is the same as "cut a pizza or a cake in half".
therefore, we know
10x + 1 = 8x + 13
2x + 1 = 13
2x = 12
x = 6
AB = 10x + 1 = 10×6 + 1 = 60 + 1 = 61
BC = AB but to control : 8×6 + 13 = 48+13 = 61
correct.
AC = AB + BC = 61 + 61 = 122
To find the total area of this figure, you have to find the area of each of the separate figures and then add those 2 answers together. Your work should look like this:
2 x 2 = 4
8 x 8 = 64
64 + 4 = 68
Your answer should be 68 ft.^2
