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3 years ago

The distance between the points (0,-6) and (-6,0) is: A) 5 B) 6 C) 6√2 D) 12√2

Mathematics

2 answers:

mrs_skeptik [129]3 years ago

6 0

Answer: Choice C) $6\sqrt{2}$

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Explanation:

Apply the distance formula

$(x_1,y_1) = (0,-6)\\\\(x_2,y_2) = (-6,0)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(0-(-6))^2 + (-6-0)^2}\\\\d = \sqrt{(0+6)^2 + (-6-0)^2}\\\\d = \sqrt{(6)^2 + (-6)^2}\\\\d = \sqrt{36 + 36}\\\\d = \sqrt{72}\\\\d = \sqrt{36*2}\\\\d = \sqrt{36}*\sqrt{2}\\\\d = 6\sqrt{2}\\\\$

OleMash [197]3 years ago

4 0

Answer:

-(6y + 2z) - 7z - (12z + 32y)

Step-by-step explanation:

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Two positive numbers have a difference of 21. The larger number is five more than twice the smaller. Find the two numbers.

tatuchka [14]

Let n = the smaller of the two numbers, and since the other number is 5 more than twice the smaller number n, then ...

Let 2n + 5 = the second and larger number.

Since the sum of the two unknown numbers is 26, then we can write the following equation to be solved for n as follows:
n + (2n + 5) = 26

n + 2n + 5 = 26

Collecting like-terms on the left, we get:
3n + 5 = 26

3n + 5 - 5 = 26 - 5

3n + 0 = 21

3n = 21

(3n)/3 = 21/3

(3/3)n = 21/3

(1)n = 7

n = 7

Therefore, ...
2n + 5 = 2(7) + 5
= 14 + 5
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CHECK:
n + (2n + 5) = 26
7 + (19) = 26
7 + 19 = 26
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Therefore, the two desired numbers whose sum is 26 are indeed 7 and 19.

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3 years ago

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Ne4ueva [31]

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3 years ago

Taxi charges 2.95 for the first mile and 0.30 per 1/8 gary was charged 25.45 for this taxi ride. Not including the first mile ho

Arisa [49]

Using proportions, considering the cost of the taxi per mile, it is found that Gary traveled 9.375 miles, not including the first.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the company charges 2.95 for the first mile and $0.3 per each 1/8 mile next = $2.4 per mile. After the first mile, he was charged a total of $25.45 - $2.95 = $22.5. Hence the number of miles is given by:

22.5/2.4 = 9.375.

More can be learned about proportions at brainly.com/question/24372153

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2 years ago

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Llana [10]

Answer:

it is 32

Step-by-step explanation:

you multipy 8 buy 4 =32

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3 years ago

Which explanation provides the best real-world scenario of the graph? If an object is dropped from a height of 38 feet, the func

ikadub [295]

The equation that models the movement of the object is:
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3 years ago

The distance between the points (0,-6) and (-6,0) is: A) 5 B) 6 C) 6√2 D) 12√2​

The distance between the points (0,-6) and (-6,0) is: A) 5 B) 6 C) 6√2 D) 12√2