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inysia [295]
3 years ago
14

Solve the system by elimination 2x-3y=23 x+3y=-20

Mathematics
1 answer:
Fantom [35]3 years ago
4 0

Answer:

x = 1

y = -7

Step-by-step explanation:

2x-3y=23

+ x+3y =-20

3x + 0 = 3

x = 1

(1) + 3y = -20

-1 -1

3y = -21

y = -7

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Step-by-step explanation:

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If your algorithm runs its critical section 1 + 2 + 3 + ... + (n-2) + (n-1) + n times, what is the asymptotic behavior of the al
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7 0
3 years ago
The volume of a cone with a radius of 7 cm is 147 cubic centimeters. Which expression can be used to find h, the height ofthe co
spayn [35]

The choices are not attached but we can solve the problem from the given information

Answer:

The expression can be used to find h is  h=\frac{3V}{\pi r^{2}}

The height of the cone is \frac{9}{\pi } cm

Step-by-step explanation:

The formula of the volume of the cone is V = \frac{1}{3} π r² h, where

  • r is the radius of its base
  • h is the height of it

Let us find the height of the cone from the formula of its volume

∵ V = \frac{1}{3} π r² h

- Multiply both sides by 3

∴ 3 V = π r² h

- Divide both sides by π r²

∴ \frac{3V}{\pi r^{2}}=h

- Switch the two sides

∴ h=\frac{3V}{\pi r^{2}}

The expression can be used to find h is  h=\frac{3V}{\pi r^{2}}

∵ The radius of the cone is 7 cm

∴ r = 7

∵ The volume of the cone is 147 cm³

∴ V = 147

- Substitute them in the expression of the height to find it

∵  h=\frac{3(147)}{\pi (7)^{2}}

∴ h = \frac{9}{\pi } cm

The height of the cone is \frac{9}{\pi } cm

4 0
3 years ago
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