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KonstantinChe [14]
3 years ago
11

Distance between (-3,1) (1,5)

Mathematics
1 answer:
Mamont248 [21]3 years ago
5 0

Answer & Step-by-step explanation:

For this problem, we will use the distance formula.

d=\sqrt{(x2-x1)^2+(y2-y1)^2}

For our (x1, y1), we will use (-3, 1). For our (x2, y2), we will use (1, 5). Now let's plug in our numbers and solve the problem.

d=\sqrt{(1-(-3))^2+(5-1)^2}

d=\sqrt{4^2+4^2}

d=\sqrt{16 + 16}

d=\sqrt{32}

d=5.657

So, the distance between (-3,1) and (1,5) is 5.657 units.

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Please help me with this question
jok3333 [9.3K]

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Answer:

  -3/8 × (first term)

Step-by-step explanation:

The general term of an arithmetic sequence is ...

  an = a1 +d(n -1)

Then the ratio of interest is ...

  (7th term)/(9th term) = 5/8

  (a1 +6d)/(a1 +8d) = 5/8

Multiplying by 8(a1 +8d) we get ...

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  8a1 +48d = 5a1 +40d . . . . . . eliminate parentheses

  8d = -3a1 . . . . . . . . . . . . . . subtract 40d+8a1

  d = (-3/8)a1 . . . . . . . . . . divide by 8 to find the common difference

The common difference is -3/8 times the first term.

__

<u>Example</u>

Let the first term be -16. Then the common difference is (-3/8)(-16) = 6. The first 9 terms of the sequence are ...

  -16, -10, -4, 2, 8, 14, 20, 26, 32

The ratio of the 7th and 9th terms is ...

  20/32 = 5/8 . . . . as required

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In the general case, the ratio of terms would be ...

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8 0
3 years ago
1. What is the value of the expression f2 + 5 if f = 3?<br> A. 8<br> B. 2<br> C. 6<br> D. 14
zaharov [31]

Option D: 14 is the right answer

Step-by-step explanation:

In order to find the value of given expression we have to put the given value for f in the expression

Given expression is:

f^2+5

We have to find the value of expression on f=3

So,

putting f=3 in expression

= (3)^2+5\\= 9+5\\=14

The value of given expression at f=3 is 14

Hence,

Option D: 14 is the right answer

Keywords: expressions, variables

Learn more about expressions at:

  • brainly.com/question/10364988
  • brainly.com/question/10435816

#LearnwithBrainly

8 0
3 years ago
The temperature changes can be represented by the expression -0.5( 1 -2h).Chase says that the temperature change can also be rep
UNO [17]

Answer:

The expression are equivalent

Step-by-step explanation:

The question requests that we show whether the equation -0.5( 1 -2h) is equivalent to 4(2h + 2) - 7h - 8.5 or not :

Simplifying 4(2h + 2) - 7h - 8.5 ; we have ;

4(2h + 2) - 7h - 8.5

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8h - 7h + 8 - 8.5

h - 0.5

-0.5(1 - 2h)

-0.5 + h

= h - 0.5

Hence, both expressions are the same

3 0
3 years ago
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