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Darya [45]
4 years ago
9

Determine the coordinates of the x-intercept of 3x – 4y = 24.

Mathematics
2 answers:
Mars2501 [29]4 years ago
6 0
The definition of an x intercept is when y equals 0. If y were to equal 0, you would have 3x -4(0)= 24, which is equal to 3x - 0 = 24. Using the addition property of equality, you would add 0 to both sides, and get 3x = 24. Finally, using the division property of equality, you have x = 8. So the coordinates of the x intercept would be (8,0), as your y was defined as 0. Hope this helps. Let me know if you have any questions about my explanation and feel free to ask more questions.
OleMash [197]4 years ago
6 0
The x intercept is whre the line crosses the x axis or where y=0

so set y to 0 and solve for the value of x that makes the equation true

3x-4(0)=24
3x-0=24
3x=24
divide both sides by 3
x=8

x=8
y=0

(x,y)
(8,0)
the point is (8,0)
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Westkost [7]

Answer:

8% decrease

Step-by-step explanation:

First work out the difference decrease between the two numbers you are comparing. Then decrease the original number by the new number.Then divide the original number by the decrease and multiply the answer by 100.Next you divide the original number by the new number and multiply by 100. Finally you will get your answer.

3 0
3 years ago
Thanks for the help!!
Daniel [21]

9) pi/3 = 180 /3 = 60⁰

the other angle = 90-60=30⁰

10) 2pi/9 = 360/9 = 40⁰

the other angle = 90+40=130⁰

11) arc length = 2pi * r * (θ/360)

= 2pi * 16 * (270/360)

= 75.4 km

12)arc length = 2pi * r * (θ/360)

3 * 180/4 = 135⁰

135/360 =0.375

2pi * 6 * 0.375 =14.13 in

13) arc length = 2pi * r * (θ/360)

= 9 *2pi *(255/360) =40.05 mi

14)arc length = 2pi * r * (θ/360)

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4 0
3 years ago
Mike built a model of a 42 ft building using a scale of 2 cm = 3 ft. What is the height of the model?
Blababa [14]
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28 
5 0
4 years ago
Marcus wants to decorate his box that is i the shape of a cube with a color. he decides to cover the entire box with red color p
olga2289 [7]

*see attached picture for the diagram of the box

Answer:

130cm²

Step-by-step explanation

The amount of red appear needed by Marcus to cover his box = Surface Area of the cube - Area of the circle.

Surface area of cube = 6s² (where s is the side length of the cube. s² therefore is S.A of 1 face of the cube)

Given that s = 5cm,

S.A of cube = 6s² = 6*5² = 150cm²

Area of circle = πr²;

Given that π = 3.14, and r = ½ of diameter of circle (i.e. ½ of side length of cube)

Area of circle = 3.14*(½*5)² = 3.14*(2.5)² = 3.14*6.25 =19.625

Amount of red paper needed = S.A of the cube - Area of the circle = 150cm² - 19.625cm² = 130.375cm² = 130cm²

3 0
3 years ago
Which situation represents a proportional relationship?
JulijaS [17]

Answer:

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Step-by-step explanation:

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5 0
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