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Umnica [9.8K]
3 years ago
12

Find the distance between these points. r(-1, 0), s(8, 6)1-√(26)2-√(85)3-3√(13)

Mathematics
1 answer:
bixtya [17]3 years ago
6 0
Distance between two points, d, is given by
d= \sqrt{ ( x_{2} - x_{1}) ^{2} + (y_{2} - y_{1}) ^{2} }

where: (x1, y1) = (-1, 0) and (x2, y2) = (8, 6)
d= 
\sqrt{ ( 8 - (-1)) ^{2} + (6 - 0) ^{2} } \\ d= \sqrt{ (9)^{2} + 6^{2} }  
\\ d= \sqrt{81+36}  \\ d= \sqrt{117}  \\ d=10.8 \ units

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Suppose that A = {2, 4, 6}, B = {2, 6}, C = {4, 6}, and D = {4, 6, 8}. Identify the pairs of sets in which one is a subset of th
OLEGan [10]

Answer:

Step-by-step explanation:

Given that A = {2, 4, 6}, B = {2, 6}, C = {4, 6}, and D = {4, 6, 8}.

We know that P is a subset of Q if all elements of P are also in Q

Using this let us compare pairwise

A and B

The elements of B are also in A

So B is a subset of A

Next A and C,

All elements of C are in A.  So C is a subset of A

B and C.  We find neither is a subset of other

B and D.  Here also 2 is not in D so not a subset

C and D

C is a subset of D

SO answer is

B and C are subsets of A and C is also a subset of D

7 0
3 years ago
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How to find the average<br> of 78, 79, 87, 88, 101, 120, 130
crimeas [40]

Answer:

Add the numbers together and divide by the number of numbers. (The sum of values divided by the number of values).

Step-by-step explanation:

8 0
3 years ago
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Carson has two cans of red paint. The first can contains 3 pints of red paint. The second can contains 4 16 pints of red paint.
allsm [11]

Answer: 1⁵/₈ pints

Step-by-step explanation:

First can contained 3¹/₄ pints and second can contained 6¹/₂.

To make them equal, first find the different;

= 6¹/₂ - 3¹/₄

= 6.5 - 3.25

= 3.25

Divide this difference by 2;

= 3.25/2

= 1.625

= 1⁶²⁵/₁₀₀₀

= 1⁵/₈ pints

If Carson pours 1⁵/₈ pints from the second Can, it would increase the first can to 4⁷/₈ pints whilst reducing the second can to 4⁷/₈ pints as well.

8 0
2 years ago
Find the earnings rounded to the nearest cent <br>sales: $984 <br>commission: 10%​
Scilla [17]

Answer:

$1082

Step-by-step explanation:

10% of $984

10/100 ($984)= $98.4

Earnings = ($98.4+$984)

Earnings = $1082.4

Earnings = $1082 (to the nearest cent)

6 0
3 years ago
56 books; 75% decrease
suter [353]
75% of 56 is .75 * 56
.75 * 56 = 42
Because you are decreasing, you subtract 42 from 56.
56 - 42 = 14
A 75% decrease of 56 books would leave 14 books.
6 0
3 years ago
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