For the first inequality, the solution is derived as follows:
4p > -8...... by subtracting 1
p > -2....... when divided by 4
This solution is represented on a graph as an open dot at -2, with the shading extending rightwards.
Since no inequality symbols incorporate "or equal to", all depicted dots remain open. The correct option is the first one:
a number line marked with open circles at -2 and 5, shaded in between.
It is not possible, as there are just 2 sides, and they likely flipped it in various ways. They experienced some 'luck'.
Complete Question
Angela has constructed a wedge-shaped pillow for her TV watching needs. It contains 0.35 m³ of fluffy material. The pillow's base area measures 0.5m², and its height stands at 1m.
What is the length of the pillow?
Provide an exact answer (no rounding).
Answer:
1.4m
Step-by-step explanation:
A wedge can be defined as a Triangular prism. Thus,
The volume formula for a wedge (Triangular prism) is given by: 1/2 × B × H × L
b = 0.5m
h = 1 m
l =??
Volume of the wedge = 0.35 m³
0.35 = 1/2 × 0.5 × 1 × L
0.35 = 0.25 × L
Solving for L, we get: L = 0.35/0.25
L = 1.4m
Answer:
1. x=±4
2. t=±9
3. r=±10
4. x=±12
5. s=±5
Step-by-step explanation:
1. x^2 = 16
By extracting the square root on both sides
x=±4
2. t^2=81
Again, take the square root of each side
t=±9
3. r^2-100=0
r=±10
4. x²-144=0
We rewrite as x²=144
Applying square roots
x=±12
5. 2s²=50
s=±5 ..
Answer: F(x) > 0 in the ranges (-0.7, 0.76) and (0.76, ∞).
I hope this is useful:)
