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nignag [31]
3 years ago
10

Which ordered pair (p,r) is the solution to the given system of linear equations?

Mathematics
1 answer:
Misha Larkins [42]3 years ago
8 0

Answer:

(p,r) = (1/3, 2/9)

Step-by-step explanation:

Here, we want to solve a system of equations

We can rewrite the second equation by dividing through by 2

So we have;

4p + 3r = 2

and

5p - 3r = 1

Add both equations:

9p = 3

p = 3/9

p = 1/3

Recall ;

5p - 3r = 1

3r = 5p - 1

Substitute the value or p here

3r = 5(1/3)-1

3r = 5/3 - 1

3r = 2/3

r = 2/9

So we have the solution set as;

(p,r) = (1/3 , 2/9)

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18 + 14 + 14 = 46 oz

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3 years ago
In ΔVWX, \text{m}\angle V = (7x-1)^{\circ}m∠V=(7x−1) ∘ , \text{m}\angle W = (4x+16)^{\circ}m∠W=(4x+16) ∘ , and \text{m}\angle X
Anika [276]

Answer:

m∠X= 22°

Step-by-step explanation:

In ΔVWX:

m∠V=(7x−1) ∘

m∠W=(4x+16) ∘ ,

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Step 1

We find the variable x

The sum of angles in a triangle is 180°

Hence,

ΔVWX = m∠V + m∠W +m∠X

180° = (7x - 1)° + (4x + 16)° + (3x - 17)°

180° = 7x - 1 + 4x + 16 + 3x - 17

180° = 7x + 4x + 3x - 1 + 16 - 17

180° = 14x -2

Collect like terms

180° + 2 = 14x

182° = 14x

x = 182°/14

x = 13°

Step 2

We find m∠X

m∠X = (3x−17) ∘

x = 13

m∠X = (3 × 13 − 17)°

m∠X = (39 − 17)°

m∠X = 22°

5 0
2 years ago
What is the undefined variable in this equation (6x2 +3x) ÷ (3x) simplified 3x + 1
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4 0
3 years ago
After 3 minutes, a submarine had descended to −320 feet. After 8 minutes, the submarine had descended to −420 feet. Assuming a l
LiRa [457]

Answer:

d(t) = -20t - 260

Step-by-step explanation:

The depth function is:

d(t) = mt + b

After 3 minutes, a submarine had descended to −320 feet.

This means that d(3) = -320. So

d(t) = mt + b

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After 8 minutes, the submarine had descended to −420 feet.

This means that d(8) = -420. So

d(t) = mt + b

-420 = 8m + b

From the first equation:

b = -320 - 3m

So

-420 = 8m + b

-420 = 8m - 320 - 3m

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m = \frac{-100}{5}

m = -20

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So

d(t) = -20t - 260

7 0
3 years ago
Write your question here keep it simple and clear
igor_vitrenko [27]

。☆✼★ ━━━━━━━━━━━━━━  ☾  

12 + 12 + 18 + 18 = 60

The perimeter is 60 cm

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

。☆✼★ ━━━━━━━━━━━━━━  ☾

7 0
3 years ago
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