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mina [271]
1 year ago
6

Find the distance between the points (-4,-5) and (2,5)

Mathematics
2 answers:
Alexxx [7]1 year ago
6 0

Answer:

11.66

Step-by-step explanation:

√(-4-2)²+(-5-5)²

√(36)+(100)

√136

11.66

Vikki [24]1 year ago
3 0

Answer:

2 \sqrt{34}

Step-by-step explanation:

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

\sqrt{(2 - ( - 4)) {}^{2}  + (5 - ( - 5)) {}^{2} }

\sqrt{(2 + 4) { }{ {}^{2} + (5 + 5) {}^{2}  } }

\sqrt{36 + 100}

\sqrt{136}

= 2 \sqrt{34}

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4 0
3 years ago
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irga5000 [103]
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4 0
2 years ago
The distance between New York City, NY, and Louisville, KY is 720 miles. One morning a train traveling 80 mph left from New York
beks73 [17]

Answer:

2 hours

Step-by-step explanation:

Given : The distance between New York City, NY, and Louisville, KY is 720 miles. One morning a train traveling 80 mph left from New York. Two hours later a slower train, traveling at 60 mph, left Louisville.

To find : How many hours will the slower train travel for before both trains will arrive at the same point?

Solution : Let the distance covered by NY is x

and  let the distance covered by KY is y

Total distance covered is  x+y=720   ........[1]

→ New York city,

Distance traveled = x

Speed of the train = 80 mph

Time taken = t+2

Formula is \text{Time}=\frac{\text{Distance}}{\text{Speed}}

t+2=\frac{x}{80} .......[2]

→ Louisville,

Distance traveled = y

Speed of the train = 60 mph

Time taken = t

Formula is \text{Time}=\frac{\text{Distance}}{\text{Speed}}

t=\frac{y}{60} .......[3]

Put the value of t from [3] into [2]

\frac{x}{80}- \frac{y}{60}=2  ......[4]

Now, we solve equation [1] and [4],

Put the value of y from [1] and put back in [4], y=720-x

\frac{x}{80}- \frac{y}{60}=2

\frac{x}{80}- \frac{720-x}{60}=2

\frac{60x-80(720-x)}{80\times60}=2

60x-57600+80x=9600

140x-57600=9600

140x=57600+9600=67200

x=\frac{67200}{140}=480

Put x=480 in [1]

x+y=720  

480+y=720  

y=240  

So, The distance covered by train from New York city is x=480 miles

The distance covered by train from Louisville is y=240 miles.

Now put value of y in [3] to get time,

t=\frac{y}{60}

t=\frac{240}{60}

t=4

So, The time taken by train from Louisville is 4 hr.

The time taken by train from New York city is t+2=4+2=6 hr.

→ 6-4=2 hours will the slower train travel for before both trains will arrive at the same point.




7 0
3 years ago
I really need help on my Study Island. If you are correct, I will give you Brainliest. Thanks!
yarga [219]

Answer:

20

Step-by-step explanation:

You need to create two equations for each company and then set them equal to each other. The keywords base fee means you will pay this amount regardless, so this amount stays constant and it will be the constant in the equation.  The other keyword is per. Per will link the variable with the coefficient.

The first equation for company M:

y = 12x + 60

The second equation for company N:

y = 9x + 120

Set the equations equal to each other.

9x + 120 = 12x + 60

Solve for x. I am going to subtract 9x from both sides first.

9x - 9x + 120 = 12x -9x +60

120 = 3x +60

Now, I will subtract 60 from both sides.

120 - 60 = 3x + 60 - 60

60 = 3x

Finally, I will divide both sides by 3

60/3 = 3x/3

x = 20

20 is how many guests it will take for the total cost to be the same.

5 0
2 years ago
Ariel takes 3 pages of notes during each hour of class. In all, how many hours will Ariel
7nadin3 [17]

Answer:

12 hours

Step-by-step explanation:

36 divide that by 12 and she has 12 hours to write on 36 pages

7 0
3 years ago
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