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igor_vitrenko [27]
3 years ago
7

Distance between (5,8) (-1,-4)? ​

Mathematics
2 answers:
umka2103 [35]3 years ago
3 0

Answer:

The distance between (5,8), and (-1,4) is (6, 12).

Step-by-step explanation:

All you have to do is think of it as a line. -1 is here, to get to positive 5, you must move 6; -4 is there, to get to positive 8, you must move 12.

Oduvanchick [21]3 years ago
3 0

Answer:

\huge\boxed{\sqrt{180} \ \ \text{or}  \ \ 13.42}

Step-by-step explanation:

In order to find the distance between two points, we can use the distance formula. The distance formula states that the distance between two points is

\sqrt{(x_2 - x_1)^2 + (y_2 - y_1) ^2}

(5,8) is our first coordinate and (-1,-4) is our second. So, we can substitute these values into the equation.

\sqrt{(-1 - 5)^2 + (-4 - 8) ^2}\\\\\sqrt{(-6)^2 + (-12) ^2}\\\\\sqrt{36 + 144}\\\\\sqrt{180} \approx 13.42

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3 years ago
A runner burned 120 calories on a 1.6 km run .how many calories would they burn on a 5km run
sergey [27]

Answer:

375 calories

Step-by-step explanation:

given:

1.6 km ----> burns 120 calories

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3 years ago
The ratio of the number of cups of blue paint to the number of cups of red paint that Lara mixed to make a shade of purple paint
Yuliya22 [10]

Answer:

Part A

The number of cups of blue paint that Lara mixed with each cup of red paint is 3 cups of blue paint

Part B

1/3 cup of red paint is added to 1 cup of blue paint

Part C

The unit price per cup of blue paint is $8 per cup of blue paint

Step-by-step explanation:

The ratio of the number of cups of blue paint to the number of cups of red paint that Lara mixed to make a shade of purple paint is 3: 1

Part A: Write a sentence to describe the number of cups of blue paint that Lara mixed with each cup of red paint (4 points)

The ratio is

Blue paint : Red paint

= 3 : 1

Hence,

The number of cups of blue paint that Lara mixed with each cup of red paint is 3 cups of blue paint

Part B: How many cups of red paint should Lara add to each cup of blue paint to make the shade of purple? Explain your reasoning (4 points)

From Part A , we know that

3 cups of blue paint = 1 cup of red paint

1 cup of blue paint = y

Cross Multiply

3 × y = 1 × 1

y = 1/3

Hence, 1/3 cup of red paint is added to 1 cup of blue paint

Part C: I Lara purchased 6 cups of blue paint for $48, what is the unit price per cup of blue paint? (2 points)

6 cups of blue paint = $48

1 cup of blue paint = x

6 × x = $48 × 1

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3 years ago
it is 6.09 pm the movie starts at 6:30 pm. while standing in the line for the movie, you count 146 people in front of you. nine
Brilliant_brown [7]
<h2>Answer:You can buy a ticket.</h2>

Step-by-step explanation:

It is given that 9 people bought tickets in 70 seconds.

So,\frac{9}{70} people can buy tickets in a second.

It is given that the current time is 6:09pm and movie starts at 6:30pm.

So there is 30-9=21minutes until movie starts.

In 21 minutes,the number of persons that can buy tickets are \frac{9}{70}\times 21\times 60=162.

So,162 people can buy tickets in 21 minutes.

Since there are only 146 people in front of you,you can buy a ticket.

8 0
3 years ago
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