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Pavel [41]
2 years ago
6

What does this multiple by 38 , 51 , 64 , 77 , 90

Mathematics
1 answer:
nadezda [96]2 years ago
3 0

Answer:

It's an arithmetic sequence. Instead of multiplying, you're adding 13. The answer is Tn=13n+25

Step-by-step explanation:

If you minus 38 from 51 (51-38), you get 13 and this 13 is constant throughout.

It's the same if you do (64-51).

Therefore 13 is our difference, we call it d.

Next you use the formula Tn=a+(n-1)d and substitute.

a is the first term of our sequence therefore it's a=38 and d=13.

We don't know n which is the number of terms.

When we sub its gonna be Tn=38+(n-1)(13)

And then you solve.

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What are the vertices of A'B'C if ABC is dilated by a scale factor of 2?
malfutka [58]

The vertices of A'B'C' if A(0, 10), B(8, 6), C(4, 2) is dilated by a scale factor of 2 are;

  • C. A'(0, 20), B'(16, 12), C'(8, 4)

<h3>Which method can be used to find the vertices of A'B'C'?</h3>

Given that triangle ABC is dilated by a scale factor of 2, we have;

A'B' = 2 × AB

A'C' = 2 × AC

B'C' = 2 × BC

Length of AB = √((8-0)^2 + (6-10)^2) = 4•√5

Length of AC = √((4-0)^2 + (2-10)^2) = 4•√5

Length of BC = √((8-4)^2 + (6-2)^2) = 4•√2

By multiplying the given coordinates by the scale factor, we have;

A' = 2 × (0, 10) = (0, 20)

B' = 2 × (8, 6) = (16, 12)

C' = 2 × (4, 2) = (8, 4)

A'B' = √((16-0)^2 + (12-20)^2) = 8•√5

A'C' = √((8-0)^2 + (4-20)^2) = 8•√5

B'C' = √((16-8)^2 + (12-4)^2) = 8•√2

Therefore when we have;

A'(0, 20), B'(16, 12), C'(8, 4), we get;

  • A'B' = 2 × AB
  1. A'C' = 2 × AC
  2. B'C' = 2 × BC

The correct option is therefore;

  • C. A'(0, 20), B'(16, 12), C'(8, 4)

Learn more about finding the distance between points on the coordinate plane here:

brainly.com/question/7243416

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5 0
2 years ago
I need help please either discord me the answer at F4deG0d#0988 or do it on here cause this is important.
algol13

Answer:

x= 12.5

So

2x = 25

4x = 50

6x = 75

Step-by-step explanation:

line CG is 180 degrees, so 12x + 30 = 180

x = 12.5

7 0
3 years ago
If £2000 is placed into a bank account that pays 3% compound interest per year,
klemol [59]

Answer:

£2,121.80

Step-by-step explanation:

To solve this problem, we can use the compound interest formula:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

First, change 3% into a decimal:

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Your answer is £2,121.80

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3 years ago
A teacher has 3 hours to grade all the papers submitted by the 35 students in her class. She gets through the first 5 papers in
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So, she has 3hrs to grade all papers, for 35 students.. alrite.

the first 5, she does them in 30minutes.. what's the speed rate? well, 5/30 or 1/6

now, she has still 2 hours and a half, or 150 minutes, to do the remaining 30 papers... she has to work at a rate of 30/150 then... which is 1/5 simplified.

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