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liubo4ka [24]
4 years ago
11

Two horses are ready to return to their barn after a long workout session at the track. The horses are at coordinates H(1,10) an

d z(10, 1). Their barns are located in the same building, which is at coordinates B(-3,-9). Each unit/grid on the coordinate plane represents 100 meters. Which horse is closer to the barn? Justify your answer.
Mathematics
1 answer:
lana [24]4 years ago
6 0
Distance between points \left(x_1,y_1\right) and \left( x_2,y_2 \right) is

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

Distance from H to B:

[tex]d=\sqrt{(10-(-3))^2+(1-(-9))^2}=\sqrt{169+100}=\sqrt{269}d=\sqrt{(1-(-3))^2+(10-(-9))^2}=\sqrt{16+361}=\sqrt{376}[/tex] units.

Distance from Z to B:

d=\sqrt{(10-(-3))^2+(1-(-9))^2}=\sqrt{169+100}=\sqrt{269} units.

Horse Z is closer to the barn.

(The conversion to meters is not required; the question does not ask for actual distances, so "units" is OK.)
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a method for finding the maximum or minimum value of a quantity that is subject to various limitations is called
Sveta_85 [38]

The minimum or maximum value of a quantity are what are used to maximize or minimize a function.

<em>The method for finding these minimum or maximum value is linear programming.</em>

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Take for instance, the following parameters:

\mathbf{Maximize\ z = 2x + 3y}

Subject to:

\mathbf{2x + y \ge 10}

\mathbf{x - y < 2}

\mathbf{x ,y >0}

The above is an illustration of a linear programming.

It is useful in the following areas:

  • To formulate real life problems
  • To get an optimal solution
  • To maximize profit and minimize cost
  • Etc

Read more about linear programming at:

brainly.com/question/14225202

3 0
3 years ago
I WILL GIVE YOU 100 POINTS IF YOU ANSWER THE QUESTIONS CORRECTLY IN MY PROFILE PLEASE!! IT'S DUE TODAY!! ↓↓↓↓ (answer both parts
Finger [1]

Answer:

hight mmm or it's depents on the speed of roller coaster

5 0
3 years ago
The sum of the digits of a three digit number is 19. The second digit is one more than the first digit. The third
Oxana [17]

Answer:

  • D. 568

Step-by-step explanation:

Let the number is in the form of xyz

<h3>We have</h3>

Sum of the digits is 19

  • x + y + z = 19

The second digit is one more than the first digit

  • y = x + 1

The third digit is two more than the second digit

  • z = y + 2 = x + 1 + 2 = x + 3

<u>Substitute the values of y and z</u> into the first equation and solve for x

  • x + x + 1 + x + 3 = 19
  • 3x + 4 = 19
  • 3x = 15
  • x = 5

<u>Find the value of y and z</u>

  • y = 5 + 1 = 6
  • z = 5 + 3 = 8

The number is 568

5 0
2 years ago
The harbormaster decides how many trips the ferry needs to make for 37 cars. The ferry can carry 8 cars at a time. What is the b
katen-ka-za [31]

Answer:

By adding 1 to the quotient.

Step-by-step explanation:

The Harbormaster needs to arrange tripe for 37 cars

in one go ferry can carry a maximum of 8 cars

trips = 37/8 = 4.625 trips

Since the ferry can't go in decimals so we need one more trip to carry all the cars. Hence the best way to interpret the remainder of 37/8 is by adding 1 to the quotient which will make 5 trips.

5 0
3 years ago
In a test of a​ gender-selection technique, results consisted of 229 baby girls and 7 baby boys. Based on this​ result, what is
kirill115 [55]

Answer:

I'm pretty sure that the answer would be 229/236.

Step-by-step explanation:

Ok so. Since the results of the test is 229 for a girl and the results for a boy is 7. So i'm pretty sure what to do is combine both the results and keep that as the denominator. And then the numerator will be the result. So in this case the numerator would be 229 and the denominator would be 236.

I hope this helped, have a great day!!!

3 0
3 years ago
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