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Ksenya-84 [330]
3 years ago
13

Find the distance between the points with the given coordinates.√ (copy and paste the radical if necessary, no decimals)

Mathematics
1 answer:
Yakvenalex [24]3 years ago
5 0

Answer:

d=\sqrt{593}

Step-by-step explanation:

<u>Distance Between two Points in the Plane</u>

Given two points A(x,y) and B(w,z), the distance between them is:

d=\sqrt{(z-y)^2+(w-x)^2}

We are given the points (5, 14) and (−3, −9). Substituting into the formula:

d=\sqrt{(-9-14)^2+(-3-5)^2}

d=\sqrt{(-23)^2+(-8)^2}

d=\sqrt{529+64}

\boxed{d=\sqrt{593}}

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50 is one tenth of what number?
Stella [2.4K]

Answer:

500

Step-by-step explanation:

Well you find one tenth of a number by dividing it by 10

So to do the opposite, you can do 50*10 which is 500

Or if you really wanted to you could go through each option dividing them all by 10 till you got 50

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3 years ago
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Step-by-step explanation:

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1 year ago
Hayley has $155 in savings, and her brother Hank has $230. Hayley is saving $10 each week, and her brother is spending $15 each
Sindrei [870]

Answer:

After 3 weeks they both will have the same amount in their savings account.

Step-by-step explanation:

Given:

Amount saved by Haley = $155

Amount saved by Hank = $230

Amount saving each week by Haley = $10

Amount spending each week by Hank = $15

We need to find Number of weeks when both both will have same amount in savings account.

Solution:

Let Number of week be 'x'.

Total Amount of Haley can be calculated by Amount saved by Haley plus Amount saving each week by Haley multiplied by number of weeks.

framing in equation form we get;

Total Amount of Haley = 155+10x

Also;

Total Amount of Hank can be calculated by Amount saved by Hank minus Amount spending each week by Hank multiplied by number of weeks.

framing in equation form we get;

Total Amount of Hank = 230-15x

Now we need to find the number of weeks when both will have same amount.

To find the same we will have to make both the equation equal.

So we can say.

155+10x=230-15x

On Solving above equation we get;

We will combine the like terms together;

10x+15x =230-155\\\\25x = 75

Now Dividing both side by 25 using Division property of equality we get;

\frac{25x}{25} = \frac{75}{25}\\\\x=3 \ weeks

Hence, After 3 weeks they both will have the same amount in their savings account.

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3 years ago
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Answer:

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Step-by-step explanation:

1. Combine like terms

      -5.8n - 4n = -9.8n

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2. -9.8n +11.1

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