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Valentin [98]
3 years ago
12

A is the poin 3,5 and b is the point 0,k if the distance of ab is 5 units find the possible value of k

Mathematics
1 answer:
JulijaS [17]3 years ago
4 0

Answer:

K is either 9 or 1

Step-by-step explanation:

Sqrt((0 - 3)² + (k - 5)²) = 5

Square both sides

(0 - 3)² + (k - 5)² = 5²

(0 - 3)² + (k - 5)² = 25

-3² + (k - 5)² = 25

9 + (k-5)(k-5) = 25

9 + k² - 5k - 5k + 25 - 25 = 0

k² - 10k +9 = 0

k² - 9k - k + 9 = 0

k(k - 9) - 1(k - 9) = 0

k - 1 = 0 ; k = 1

k - 9 = 9; k = 1

K = 9 or k = 1

K is either 9 or 1

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What’s the answer to 3\4(8x + 12) = 3
Artemon [7]

Answer:

x = - 1

Step-by-step explanation:

\frac{3}{4} (8x + 12) = 3 ( multiply both sides by 4 to clear the fraction )

3(8x + 12) = 12 ( divide both sides by 3 )

8x + 12 = 4 ( subtract 12 from both sides )

8x = - 8 ( divide both sides by 8 )

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4 0
2 years ago
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In a year group there 100 boys and 140 girls. Write as a ratio the number of boy to the number of girls. Give the answer in the
expeople1 [14]

no. of boys : no.of girls

100 : 140

to get the simplest ratio you gotta divide both with a common factor

Because both 100 and 140 share a common factor of 20

the simplest ratio will be

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3 years ago
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Find the distance between points P(5, 1) and Q(1, 3) to the nearest tenth.
bonufazy [111]

Answer:

Idk if its multiple choice but you can do 1 of 2 ways theres using distance formula =√(5-3)sq+(1-4)sq

=√4+9

=√13 <--

or

3.6 units

Given: The two points that are P(5,1) and Q(3,4).

To find: The distance between these two points.

Solution: It is given that there are two points that are P(5,1) and Q(3,4).

The distance between these two points can be found out as using the distance formula that is: 3.6

Thus, the distance between the given two points is 3.6 units.

So you choose 13 or 3.6 Hope this helps :)

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