Answer:
Correct answer: a = 3 · 4⁽ⁿ ⁻ ¹⁾
Step-by-step explanation:
Given:
Geometric sequence 3, 12, 48, 192, .....
First term a₁ = 3
Second term a₂ = 12
Third term a₃ = 48
Common ratio or quotient:
q = a₂ / a₁ = a₃ / a₂ = 12 / 3 = 48 / 12 = 4
q = 4
First term a₁ = 3
Second term a₂ = a · q
Third term a₃ = a₂ · q = a₁ · q²
Fourth term a₄ = a₃ · q = a₁ · q³
......................................................
n- th term aₙ = a₁ · q⁽ⁿ ⁻ ¹⁾
In this case aₙ = 3 · 4⁽ⁿ ⁻ ¹⁾
God is with you!!!
The new area would be 602,000 yd².
When you enlarge a shape (or a park) by a factor, you are multiplying the length of its sides by that factor. In this case, we are multiplying its length and width by 4.
Let l be the old length and w be the new length. The old area would be given by A=lw.
Enlarging this by a factor of 4 would make the new length 4l and the new width 4w. The new area would be 4l(4w)=16lw. The new area is 16 times larger than the old area, so:
37,625(16)=602,000.
Answer:
First, plot points A & B on a graph.
Collinear just means 3 or more points in a straight line (because just 2 points are always collinear, since a straight line can always be drawn through two points.
The instructions don't state a specific area in which points C & D have to be in, so you can put them anywhere, as long as they are collinear with each other, but not any other points,
- i.e. putting three units up and two units left of points A & B
So let's make up some points for C & D that are on a straight line.
- Remember, this line does <em>not</em> have to be horizontal! As long as it's a straight line, any direction will do.
Here are some points that you can choose from:
- C(-1, 1); D(-1, -1)
- C(4, 5); D(4, -5)
- C(3, 4); D(3, 5)
- Anything that doesn't fall on x=2 or y=±3.
For "F" just pick a set of coordinates off to the side and label it
You can even use half values if you want:
- (0.5, 3.2)
- (1.2, -4.1)
- (-9.1, -0.2)
As long as your plotted points meet the criteria:
- C & D are <em>Collinear</em>
- A, B, C, D, & F must not land on the same straight line.
Answer:
21
Step-by-step explanation:
Changes made to your input should not affect the solution:
(1): "•" was replaced by "*".
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Answer: 32 1/2
Explanation: add up all the fractions
7 1/2 + 10 1/2 + 9 + 5 1/2
18 + 9 + 5 1/2
27 + 5 1/2
32 1/2