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sleet_krkn [62]
3 years ago
13

Finding distance between each pair of points. how to know which is x1 y1 and x2 y2 when using (x2-x1)^2 + (y2-y1)^2? People are

saying it doesnt matter but wouldnt it be different if you answered it but switched them up?

Mathematics
1 answer:
denpristay [2]3 years ago
7 0

<u>It doesn't matter what order the coordinates are in the distance formula as long as it stays in it's corresponding order.</u> In this case, (-7,5) could be (x1,y1) and (3,-5) could be (x2,y2) or vise versa, just as long as you don't mix up the coordinates (so no (-7,-5) or (3,5)). I'll demonstrate this below:

\sqrt{(-7-3)^2+(5-(-5))^2}\\\sqrt{(-10)^2+(10)^2}\\\sqrt{100+100}\\\sqrt{200}\\\\\sqrt{(3-(-7))^2+(-5-5)^2}\\\sqrt{(10)^2+(-10)^2}\\\sqrt{100+100}\\\sqrt{200}

<u>The distance between these points, no matter the order, is √200, or approximately 14.14 units.</u>

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Natalie did 87 sit-ups in 3 minutes.
pishuonlain [190]

Answer:

19 sit-ups per minute ;

95 sit-ups

Step-by-step explanation:

Given that :

Number of sit-ups done in 3 minutes = 57

The unit rate of sit-ups done can be obtained thus :

Total Number of sit-ups done / total time taken

= 57 sit-ups /3 minutes

= 19 sit-ups per minute

. Number of sit-ups that can be done in 5 minutes :

Unit Rate of sit-ups * number of minutes

19 sit-ups / minute * 5 minutes

= 95 (sit-ups / minute * minute)

= 95 sit-ups

7 0
3 years ago
Laura can weed the garden in 1 hour and 20 minutes and her husband can weed it in 1 hour and 30 minutes. How long will they take
Harrizon [31]
<h2>Hello!</h2>

The answer is:

It will take 42.35 minutes to weed the garden together.

<h2>Why?</h2>

To solve the problem, we need to use the given information about the rate for both Laura and her husband. We know that she can weed the garden in 1 hour and 20 minutes (80 minutes) and her husband can weed it in 1 hour and 30 minutes (90 minutes), so we need to combine both's work and calculate how much time it will take to weed the garden together.

So, calculating we have:

Laura's rate:

\frac{1garden}{80minutes}

Husband's rate:

\frac{1garden}{90minutes}

Now, writing the equation we have:

Laura'sRate+Husband'sRate=CombinedRate

\frac{1}{80}+\frac{1}{90}=\frac{1}{time}

\frac{1*90+1*80}{7200}=\frac{1}{time}

\frac{170}{7200}=\frac{1}{time}

\frac{17}{720}=\frac{11}{time}

\frac{17}{720}=\frac{1}{time}

\frac{17}{720}*time=1

time=1*\frac{720}{17}=42.35

Hence, we have that it will take 42.35 minutes to weed the garden working together.

Have a nice day!

8 0
3 years ago
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antoniya [11.8K]

Answer:

-8m+24-32n

Step-by-step explanation:

To expand this, we have to multiply -8 into m, -3, and 4n. Expanding, we get

(-8)(m)+(-8)(-3)+(-8)(4n)

This simplifies to

-8m+24-32n, which is our answer.

8 0
3 years ago
Read 2 more answers
What is the value of x in the equation Three-fifths x = negative 45?
ryzh [129]

Answer:

x = -75

Step-by-step explanation:

\frac{3}{5} x=-45\\\\3x=-225\\x=-75

3 0
3 years ago
Solve the system of equations.
Semenov [28]
I hope this helps you

4 0
3 years ago
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