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julia-pushkina [17]
2 years ago
8

Line segment AB has endpoints A(0, 3) and B(2, 2). What is the midpoint of

Mathematics
1 answer:
natali 33 [55]2 years ago
3 0

Answer:

The options doesn't match or the question is wrong but the answer is (1,2.5)

Step-by-step explanation:

x_{m}=\frac{0+2}{2}=1\\y_{m}=\frac{3+2}{2}=2.5

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Hailey cuts a 7-inch square piece of plywood for a birdhouse. She rotates the piece 90° counterclockwise. What is the length in
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Answer:

\huge\boxed{7\  \text{inches}}

Step-by-step explanation:

As I mentioned earlier with a single side (line), rotations do not change the size of something. Only dilations do that. This goes for both lines AND shapes.

However, if the question said she dilated the piece, then yes, the length in inches would be different. However, rotation just changes the position and nothing happens to the length.

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3 0
3 years ago
I need help writing the first 5 terms of the sequence!
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The first five terms of the sequence are 1, 4, 7, 10, 13.

Solution:

Given data:

a_{1}=1

a_{n}=a_{n-1}+3

General term of the arithmetic sequence.

a_{n}=a_{n-1}+d, where d is the common difference.

d = 3

a_{n}=a_{n-1}+3

Put n = 2 in a_{n}=a_{n-1}+3, we get

a_{2}=a_1+3

a_{2}=1+3

a_2=4

Put n = 3 in a_{n}=a_{n-1}+3, we get

a_{3}=a_2+3

a_{3}=4+3

a_3=7

Put n = 4 in a_{n}=a_{n-1}+3, we get

a_{4}=a_3+3

a_{4}=7+3

a_4=10

Put n = 5 in a_{n}=a_{n-1}+3, we get

a_{5}=a_4+3

a_{5}=10+3

a_5=13

The first five terms of the sequence are 1, 4, 7, 10, 13.

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