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kakasveta [241]
2 years ago
14

What is the midpoint of the segment shown below?

Mathematics
1 answer:
VARVARA [1.3K]2 years ago
8 0

The midpoint of the coordinate passing through (2, 4) and (2, -7) is (2, \frac{-5}{2})

<h3>The midpoint of a line</h3>

The formula for calculating the midpoint of a line is expressed as:

M(x,y) =(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

Given the coordinate points (2, 4) and (2, -7). Substituting this values

M(x,y) =(\frac{2+2}{2}, \frac{2-7}{2})\\M(x,y) =(\frac{4}{2}, \frac{-5}{2})\\M(x,y) =(2, \frac{-5}{2})

Hence the midpoint of the coordinate passing through (2, 4) and (2, -7) is (2, \frac{-5}{2})

learn more on midpoint here: brainly.com/question/5566419

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Use mathematical induction to prove the following statement: 8"-1 is a multiple of 7 for all neN
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Answer:

Step-by-step explanation:

To prove that 8^n-1 is a multiple of 7.

Proof by induction:

Let n =1.  Then we have 8-1 =7 is a multiple of 7

Thus the P(1) is true.  

Let us assume that P(n) is true.

8^n-1 = 7l is true for some integer l

To check for P(n+1)

8^{n+1} -1=LHS

=8^n(8)-1\\=(7l+1)8-1\\=56l+7\\=7(8l+1)

Thus we find that this is also a multiple of 7.

If true for n, then true for n+1

Hence we find that since true for 1, we have it is true for all natural numbers.

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3 years ago
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Can someone please help me with these problems?
anzhelika [568]
17. Subtraction. According to the order of operations, he should've done the exponent of 3 first.

18. He then did 15×2. According to the order of operations, he should've done the multiplication of 8×2, since, if there are only multiplication and/or division left, you work left to right. He isn't correct.

19. 16, I think, I did it in my head.
4 0
3 years ago
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A, B &amp; C form a triangle where ∠ BAC = 90°. AB = 13.5 mm and CA = 3.2 mm. Find the length of BC, giving your answer rounded
adelina 88 [10]

Answer:

13.9

Step-by-step explanation:

Use Pythagorean Theorem:

Both of the lengths given are the legs,

13.5^2 + 3.2^2 = c^2

182.25 + 10.24 = c^2

192.49 = c^2

13.87 = c

8 0
3 years ago
Calculus Help Show that one function is not an antiderivative of another
liraira [26]

Just differentiate <em>G</em> and <em>H</em> :

• d<em>G</em>/d<em>x</em> = d(<em>x</em> ² <em>eˣ </em>)/d<em>x</em> = 2<em>x</em> <em>eˣ</em> + <em>x</em> ² <em>eˣ</em>

so <em>G</em> is not an antiderivative of <em>f</em>.

• d<em>H</em>/d<em>x</em> = d(2<em>x</em> <em>eˣ</em> - 2<em>eˣ</em> ) = (2<em>eˣ</em> + 2<em>x</em> <em>eˣ</em> ) - 2<em>eˣ</em> = 2<em>x</em> <em>eˣ</em> = <em>f(x)</em>

so <em>H</em> is indeed an antiderivative of <em>f</em>.

6 0
3 years ago
22. Marlenny travels 42 blocks to school, which is three times as far as Alya does. If Alya moves
Alinara [238K]

How many blocks away from school does she live now is 9 blocks away from school.

First step is to calculate the number of blocks between the house she was living before and  the school

Blocks=42 blocks/3

Blocks=14 blocks

Second step is to  calculate how many blocks away from school does she live now

Number of blocks=14 blocks- 5 blocks

Number of blocks=9 blocks

Inconclusion How many blocks away from school does she live now is 9 blocks away from school

Learn more here:

brainly.com/question/11747609

5 0
3 years ago
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