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andrezito [222]
3 years ago
15

(1) Solve this system using the substitution method: y = x – 1; 4x – 3y = 6

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
3 0

Answer:

(1)x=3, y=2

(2)x=19, y=31

Step-by-step explanation:

(1)

4x-3(x-1)=6

4x-3x+3=6

x+3=6

x=3

(2)

.76x+3.68y=128.52

x+y=50

.76x+3.68(50-x)=128.52

.76x+184-3.68x=128.52

.76x-3.68=-55.48

-2.92x=-55.48

x=19

19+y=50

y=31

This took so much work....  I hope I helped you well.

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What is the area of the button? Use 3.14 for π and round to the nearest tenth. The circumference of a button is 40.8 millimeters
Vika [28.1K]

Answer: radius = 6.5millimeters; Area = 132.7m²

Step-by-step explanation:

The circumference of a circle = 2πr

The area of a circle = πr²

The circumference of a button is 40.8 millimeters. Then we can get the radius, thus will be:

Circumference = 2πr

40.8 = 2 × 3.14 × r

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r = 40.8/6.28

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4 0
4 years ago
50 points
Artemon [7]

Answer:

difference\hspace{0.2cm} between\hspace{0.2cm} the\hspace{0.2cm} two\hspace{0.2cm} areas\hspace{0.2cm} =\hspace{0.2cm} 9(2\sqrt{3} -\pi)

Step-by-step explanation:

i) area of circle = \pi \times r^{2}  = 9\pi \hspace{0.1cm} where \hspace{0.1cm}r = 3.

ii) therefore side of hexagon, a = 2\sqrt{3}

iii) therefore area of hexagon, A = \frac{3\sqrt{3} }{2} a^{2}  =  \frac{3\sqrt{3} }{2} \times 12 = 18\sqrt{3}

iv) difference between the two areas in iii) and i)  =9(2\sqrt{3} -\pi)

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3 years ago
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Answer:

60! hope this helps!

Step-by-step explanation:

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