Answer:
0
Step-by-step explanation:
9^2 * (1/3)^2 -9
PEMDAS says powers first
81 * 1/9 -9
Then multiply
9 -9
Then subtract
0
Answer:
case a) 
----> open up
case b) 
----> open down
case c) 
----> open left
case d) 
----> open right
Step-by-step explanation:
we know that
1) The general equation of a vertical parabola is equal to
where
a is a coefficient
(h,k) is the vertex
If a>0 ----> the parabola open upward and the vertex is a minimum
If a<0 ----> the parabola open downward and the vertex is a maximum
2) The general equation of a horizontal parabola is equal to
where
a is a coefficient
(h,k) is the vertex
If a>0 ----> the parabola open to the right
If a<0 ----> the parabola open to the left
Verify each case
case a) we have
so
so
therefore
The parabola open up
case b) we have
so
therefore
The parabola open down
case c) we have
so
therefore
The parabola open to the left
case d) we have
so
therefore
The parabola open to the right
Answer:
The room is square. This is because it says "diagonal of the floor..." Which means it is from one corner of the room to the opposite end.
Step-by-step explanation:
It says "four wall room" which means it is a square. It also states that each wall meet at a right angle. To through you off this question stated the word 'diagonal' to mess with you when reading this question quickly. If you look more detailed and I like to re-read sentences in order to recognize all the information given. So the Room IS a Square.
1.) Find the area of the circle:
• Formula: A=pi•r^2
- To find the area of a circle, we need to have the radius, and since the diameter is 2x the length of the radius, the radius is 1/2 of the diameter.
Finding the radius: r=d/2
r=12/2
r = 6.
- Now that we know that r=6, we can substitute it into the formula:
• A=pi•r^2
A=pi•(6)^2
A=113.097
- The area of the circle is 113.097ft.^2. We know that a square foot is $10.50. So, we have 113.097 square feet at $10.50/sq. foot. This means that we will add $10.50 113.097 times. Therefore:
113.097 • 10.50 = 1,187.518
So, total, it will cost $1,187.518
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