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4 years ago

Calculate the distance between points A(4, 6) and B(-3, 9)

Mathematics

1 answer:

ElenaW [278]4 years ago

8 0

Step-by-step explanation:

Hey there!

The points are; A(4,6) and B(-3,9).

Using distance formula,

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

Putc all values .

$d = \sqrt{ {( - 3 - 4)}^{2} + ( {9 - 6)}^{2} }$

Simplify it.

$d = \sqrt{ {( - 7)}^{2} + {3}^{2} }$

$d = \sqrt{49 + 9}$

$= \sqrt{58}$

Therefore the distance between two points is root 58 units Or 7.61 units.

Hope it helps...

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Negative three times a number is at least 57.

EastWind [94]

Answer:

given a number x, negative 3 times that number is -3x. If this has to be at least 57, it means that -3x must be greater than or equal to 57:

$-3\geq 57$ Dividing both sides by -3 solves the equation, but we have to switch the inequality sign because we're dividing by a negative number:

$x \leq \frac{57}{3} =19$

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3 years ago

You’re about to get on a plane to Seattle. You want to know if it’s raining. You call 3 random friends who live there and ask ea

Lyrx [107]

Answer:

The probability that it is actually raining in Seattle is 26/27

Step-by-step explanation:

Here we have the probability that a friend is telling the truth = 2/3

The probability that a friend is telling a lie = 1/3

Therefore, if all three friends say "Yes" it is raining in Seattle, the probability that is actually raining is given by the probability that one of them is telling the truth. That is the complement that all are messing with their friend.

The probability that all are not telling the truth is;

P(All not telling the truth) = $\frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} = \frac{1}{27}$

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3 years ago

Eli read 1 book in 5 months If he read constantly how many books did he read?

Ksivusya [100]

Answer:

(life span - age when he started reading)/5months =number of books he read

Step-by-step explanation:

(life span - age when he started reading)/5months =number of books he read

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2 years ago

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Answer:

Step-by-step explanation:

The formula of an area of a trapezoid is:

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We have:

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Substitute:

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4 years ago

Read 2 more answers

Which function has the domain x>-11

Marat540 [252]

<h2>Answer</h2>

$y=\sqrt{x+11} +5$

<h2>Explanation</h2>

Remember that the square root function is not defined, in the set of real numbers, for negatives values, so its radicand (the thing inside the square root) must be zero or bigger than zero. In other words, to find the domain of a square root function, you should set the thing inside the radical bigger or equal to zero and solve for x. Let's find the domain of each one of our functions:

For $y=\sqrt{x+11} +5$

The thing inside the square root is $x+11$ , so we are setting that bigger or equal than zero and solve for x to find the domain of the function: