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3 years ago

Find the distance between two points (-6,2) and (2,7)

Mathematics

1 answer:

Sever21 [200]3 years ago

7 0

Answer:

√89 (decimal: 9.43398...)

Step-by-step explanation:

Call one point Point 1 (x1,y1) and make the other Point 2 (x2,y2).

apply rule -(-a) = a

√(2 + 6)^2 + (7 - 2)^2

add the numbers: 2 + 6 = 8

√8^2 + (7 - 2)^2

subtract the numbers: 7 - 2 = 5

√8^2 + 5^2

8^2 = 64

√64 + 5^2

5^2 = 25

√64 + 25

add the numbers: 64 + 25 = 89

= √89

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PLEASE HELP

Tems11 [23]

QUESTION A

The given multiplication problem is

$\frac{39}{64} \times \frac{8}{13}$

Factor each term to obtain;

$\frac{13\times 3}{8\times8} \times \frac{8}{13}$

Cancel out the common factors to obtain;

$\frac{1\times 3}{8\times1} \times \frac{1}{1}$

Simplify to get;

$\frac{3}{8}$

QUESTION B

The given multiplication problem is

$\frac{2}{3}\times \frac{1}{5}\times \frac{4}{7}$

This the same as

$\frac{2\times 1\times 4}{3\times 5\times 7}$

This simplifies to;

$\frac{8}{105}$

QUESTION C

The given problem is

$\frac{3}{5}\times \frac{10}{12} \times \frac{1}{2}$

This is the same as

$\frac{3}{5}\times \frac{5}{6} \times \frac{1}{2}$

$=\frac{1}{1}\times \frac{1}{2} \times \frac{1}{2}$

This simplifies to

$=\frac{1}{4}$

QUESTION D.

The given expression is

$\frac{4}{9}\times 54$

Factor the 54 to obtain;

$\frac{4}{9}\times 9\times 6$

Cancel the common factors to get;

$\frac{4}{1}\times 1\times 6$

This simplifies to;

$=24$

QUESTION E

The given problem is

$20\times 3\frac{1}{5}$

Convert the mixed numbers to improper fraction to obtain;

$=20\times \frac{16}{5}$

$=4\times5 \times \frac{16}{5}$

Cancel the common factors to get;

$=4\times1 \times \frac{16}{1}$

$=64$

QUESTION F

The multiplication problem is

$11 \times 2 \frac{7}{11}$

Convert the mixed numbers to improper fractions to obtain;

$11 \times \frac{29}{11}$

Cancel out the common factors to get;

$=1 \times \frac{29}{1}$

Simplify;

$=29$

QUESTION G

The given problem is

$5\frac{1}{3}\times 5\frac{1}{8}$

Convert to improper fractions;

$=\frac{16}{3}\times \frac{41}{8}$

Cancel out the common factors to get;

$=\frac{2}{3}\times \frac{41}{1}$

$=\frac{82}{3}$

Convert back to mixed numbers

$=27\frac{1}{3}$

QUESTION H

The given expression is

$10\frac{2}{3} \times 1\frac{3}{8}$

Convert to improper fraction to get;

$\frac{32}{3} \times \frac{11}{8}$

Cancel common factors to get;

$=\frac{4}{3} \times \frac{11}{1}$

Simplify

$=\frac{44}{3}$

Convert back to mixed numbers;

$=14\frac{2}{3}$

7 0

3 years ago

Martina read that approximately 10% of all people are left-handed. She wants to design a

ivanzaharov [21]

Answer:

15%

Step-by-step explanation:

3 0

4 years ago

WHAT ARE THESE ALSO EXPLAIN HOW YOU DID ITT DUE SOOOON

Zepler [3.9K]

Answer:

down below

Step-by-step explanation:

4. 5/11 x 2/2 = 10/22: yes

5. 36/4 = 9 but 2x9 = 18 not 20: no

7 0

3 years ago

Which is the product or 11/12 and 4? A 1 1/4 B 3 2/3 C 4 1/3 D 33

bazaltina [42]

Answer:

Step-by-step explanation:

11/12 × 4 = 11/3 = 3⅔

8 0

3 years ago

A DVD is being sold for $15.98 this is after a 45% discount what is the pre-discount price.

Yuri [45]

Answer:

$23.17

Step-by-step explanation:

change 45% to a decimal than multiply .45 by $15.98 then add 15.98

4 0

3 years ago