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harkovskaia [24]
2 years ago
13

I need help please

Mathematics
1 answer:
GREYUIT [131]2 years ago
5 0

Answer:

Distance = 5 units

Step-by-step explanation:

The given problem asks us to determine the distance between two points, (1, 5) and (5, 2).

<h2>Solution:</h2>

In order to find the distance between two points, we can use the following distance formula:

\displaystyle\mathsf{Distance\:(D)= \sqrt{(x_2\:-x_1)^2\:+\:(y_2\:-y_1)^2}}

Let (x₁, y₁) =   (1, 5)

     (x₂, y₂) =  (5, 2)

Step 1: Substitute points into the formula:  

\displaystyle\mathsf{Distance\:(D)= \sqrt{(x_2\:-x_1)^2\:+\:(y_2\:-y_1)^2}}

\displaystyle\mathsf{Distance\:(D)= \sqrt{(5\:-1)^2\:+\:(2\:-5)^2}}

Step 2: Subtract the integers in each of the parenthesis under the radical:

\displaystyle\mathsf{Distance\:(D)= \sqrt{(4)^2\:+\:(-3)^2}}

Step 3: Evaluate the powers (exponents):

\displaystyle\mathsf{Distance\:(D)= \sqrt{16\:+\:9}}

Step 4: Add 16 and 9:

\displaystyle\mathsf{Distance\:(D)= \sqrt{25}}

Step 5: Take the square root of 25:

⇒   Distance (D) = 5 units.

<h2>Final Answer:</h2>

Therefore, the distance between points (1, 5) and (5, 2) is <u>5 units</u>.

<h3>________________________</h3>

<u><em>Keywords:</em></u>

Distance formula

Two points

____________________________

Learn more about about this topic here:

brainly.com/question/17119550

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Mickey and Donald earn $53 weekend after taxes Mickeys share is seven dollars greater than Donald's how much does Donald earn ea
igor_vitrenko [27]

Donald earns $23 each weekend and Mickey earns $30.

Step-by-step explanation:

Given,

Money earned by Mickey and Donald = $53

Let,

Share of Mickey = x

Share of Donald = y

According to given statement;

x+y=53    Eqn 1

x = y+7     Eqn 2

Putting value of x from Eqn 2 in Eqn 1

(y+7)+y=53\\y+7+y=53\\2y=53-7\\2y=46

Dividing both sides by 2

\frac{2y}{2}=\frac{46}{2}\\y=23

Putting y=23 in Eqn 2

x=23+7\\x=30

Donald earns $23 each weekend and Mickey earns $30.

Keywords: linear equation, substitution method

Learn more about linear equations at:

  • brainly.com/question/10990024
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#LearnwithBrainly

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3 years ago
Edgar Elementary
kirza4 [7]

Answer:3333

Step-by-step explanation:

4 0
2 years ago
A child has a box full of colored building blocks. She will choose one block without looking. The odds against choosing a blue b
Mama L [17]

(a) A child has a box full of colored building blocks. She will choose one block without looking. The odds against choosing a blue block are 4/7. What is the probability of choosing a blue block?

Answer:

7/11 is the probability of choosing a blue block.

Step-by-step explanation:

We need the probability of choosing a blue block,

Odds:

The odds of an event is the ratio of the probability of an event to the probability of its complement. In other words, it is the ratio of favorable outcomes to unfavorable outcomes.

The odds against choosing a blue block are 4/7 means. In 11 chances, 4 events will happen in which blue block will not be chosen and 7 events will happen in which blue blocks will be chosen.

So, the probability of not choosing the blue block is 4/11.

Probability of choosing blue block: complement of 4/11 which is equal to 7/11.

(b) Amanda is playing a role-playing game with her friends. She will roll dice to determine if her character unlocks a treasure chest. The probability of her character unlocking the treasure chest is 13/20. Find the odds in favor of her character unlocking the treasure chest.

Answer:

The odds in favor of her character unlocking the treasure chest are 13/7.

Step-by-step explanation:

The probability of Amanda's character unlocking the treasure chest is 13/20.

It means, in 20 total chances, 13 times an event will happen where Amanda's character unlocks the treasure chest while the rest 7 times, her character would not open treasure chest.

Favorable events: 13

Unfavorable events: 7

Hence, the odds in favor of her character unlocking the treasure chest are 13/7.

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