Answer:
Step-by-step explanation:
Explicit Arithmetic Formula:
a₁ is 1st term in sequence
<em>d</em> is common difference
<em>n</em> is term number
Step 1: Find <em>d</em>
d = 8 - 2 = 6
Step 2: Plug in variables into formula
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1 answer:
Answer:
See explanation
Step-by-step explanation:
Statement Reason
1. the diagram shows segment AC with point B on this segment, then
<u>Segment addition postulate</u>
2. Given then
<u>Substitution property</u>
3. Simplify the equation as follows
<u>Combine like terms</u>
4. Subtract 8 from both sides
<u>Subtraction property of equality</u>
5. Divide by 8:
<u>Division property of equality</u>
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Answer:
Please check the attached figure a for a complete visual.
Step-by-step explanation:
Considering the triangle ΔABC with vertices
- A(-2, 0)
- B(-2, 4)
- C(0, 0)
When a figure is multiplied by a scale factor greater than 1, the figure is enlarged.
As the center of enlargement is (4, 4).
So, Draw a straight line from vertex A to the point (4, 4). Count how many units it needed in two dimensions to reach the center of enlargement (4, 4).
In case of vertex A, it was 6 units right and 4 units up. So, multiply them with 1.5 and locate the resulting position as A' which is the image of A after the scale factor of 1.5 using the center of enlargement as (4, 4).
So, when we multiply '6 units right' with 1.5, it becomes 9 units. So, move 9 units right from the center of enlargement (4, 4).
Similarly, when we multiply '4 units up' with 1.5, it becomes 6 units. So, move 6 units up from the center of enlargement (4, 4).
So, new the position of A' is shown in figure a.
Similarly, the vertex B and C are enlarged and the positions of B' and C' are shown in figure a.
The complete enlargement of triangle ΔABC is done as ΔA'B'C'. Please check the attached figure a for a complete visual.
Keywords: enlargement, scale factor, transformation
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