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2 years ago

SOMEONE PLEASE HELP ASAP, THANK YOU SO MUCH

Mathematics

1 answer:

Nimfa-mama [501]2 years ago

7 0

Answer:

13units

Step-by-step explanation:

Using the distance formula;

D = √(x2-x1)²+(y2-y1)²

Distance from home to the soccer field is expressed as;

Home (0,0) and soccer field (-4,3)

D =√(3-0)²+(-4-0)²

D =√3²+4²

D =√9+16

D = √25

D = 5

Distance from soccer field to library is expressed as;

Library (4,3) and soccer field (-4,3)

D =√(-4-4)²+(3-3)²

D =√(-8)²+0²

D =√64

D = 8

Hence the total distance = 5 + 8 = 13units

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Please help ASAP!!! Thank you so much!!! Just want confirm my answer it is y=150x-50. A concession stand at a football game took

jekas [21]

Answer: You have the correct answer. It is y = 150x-50

Nice work on getting the correct answer. For anyone curious, the explanation is below.

=============================================

x = number of hours the stand is open

y = amount earned

(1,100) is from the fact the stand is open 1 hour and earns $100

(3,400) is due to the stand earning $400 after 3 hours.

Slope Formula

m = (y2 - y1)/(x2 - x1)

m = (400-100)/(3-1)

m = 300/2

m = 150 is the slope, and it is the amount earned per hour. It is the rate of change.

Use m = 150 and (x,y) = (1,100) to find the value of b as shown below

y = mx+b

100 = 150(1) + b

100 = 150 + b

100-150 = b

-50 = b

b = -50 is the y intercept and it is the starting amount they earn. The negative earning indicates that they spent $50 to set up the stand, which is the cost of buying the food, equipment, etc.

So we have m = 150 as the slope and b = -50 as the y intercept.

Therefore, y = mx+b turns into y = 150x-50.

-------

As a check, plugging in x = 1 should lead to y = 100

y = 150x-50

y = 150(1)-50

y = 150-50

y = 100 and indeed it does

The same should be the case with (3,400). Plug in x = 3 and we should get y = 400

y = 150x-50

y = 150(3)-50

y = 450-50

y = 400, we have confirmed the answer by showing that the line y = 150x-50 goes through the two points (1,100) and (3,400).

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2 years ago

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Mila [183]

Answer:

Step-by-step explanation:

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Which is the graph of the linear inequality 2x – 3y < 12?

lora16 [44]

On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2) and to the left of the line is shaded.

<h3>What are the characteristics of the graph of the inequality?</h3>

Inequality of a graph is represented with the greater then(<), less then(>) or with the other inequity signs. The inequality line on the graph is represented with the dotted lines.

Characteristics of the graph of the inequality-

Open circle-When the value of the variable is equal to the given number, then the graph of the inequality has an open circle.
Closed circle-When the value of the variable is not equal to the given number, then the graph of the inequality has a closed circle.
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The ray will move to the left-When the value of the variable is less than the number, then the ray will move to the left.

The linear inequality given in the problem is,

$2x - 3y < 12$

The graph of this line is attached below. Here, for the greater than sign, every thing on the left of the graph is shaded, and the line will be dotted because of inequality as shown in the attached image.

Hence, on a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2) and to the left of the line is shaded.

Learn more about the characteristics of graph of the inequality here;

brainly.com/question/62792

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