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cluponka [151]
2 years ago
9

Solve the equation: 4 - 5(3- 2x) = -2x + 1

Mathematics
2 answers:
gizmo_the_mogwai [7]2 years ago
8 0

Answer:x=1

4 - 5(3- 2x) = -2x + 1

4 - 15 +10x = -2x+1

-11 +10x = -2x+1

-11+10x+2x = -2x+2x +1

-11+12x = 1

-11 +11 + 12x = 11+1

12x = 12

12x/12 = 12/12

x =1

Rufina [12.5K]2 years ago
4 0

Answer:

x=1

Step-by-step explanation:

4 - 5(3- 2x) = -2x + 1

Distribute

4 - 15 +10x = -2x+1

Combine like terms

-11 +10x = -2x+1

Add 2x to each side

-11+10x+2x = -2x+2x +1

-11+12x = 1

Add 11 to each side

-11 +11 + 12x = 11+1

12x = 12

Divide each side by

12x/12 = 12/12

x = 1

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a car reduced its speed in a ratio of 2 to 3 if the final speed was 90 km per hour then what was the original speed.​
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Step-by-step explanation:

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Please answer this question now
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Answer:

C = (2,2)

Step-by-step explanation:

B = (10 ; 2)

M = (6 ; 2)

C = (x ; y )

|___________|___________|

B (10;2)            M (6;2)             C ( x; y)

So:

dBM = dMC

√[(2-2)^2 + (6-10)^2] = √[(y-2)^2 + (x - 6)^2]

(2-2)^2 - (6-10)^2 = (y-2)^2 + (x - 6)^2

0 + (-4)^2 = (y-2)^2 + (x - 6)^2

16 = (y-2)^2 + (x - 6)^2

16 - (x - 6)^2 = (y-2)^2

Also:

2*dBM = dBC

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4*[(0)^2 + (-4)^2] = (y-2)^2 + (x - 10)^2

4*(16) = (y-2)^2 + (x - 10)^2

64 = (y-2)^2 + (x - 10)^2

64 = 16 - (x - 6)^2 + (x - 10)^2

48 = (x - 10)^2 - (x - 6)^2

48 = x^2 - 20*x + 100 - x^2 + 12*x - 36

48 = - 20*x + 100 + 12*x - 36

8*x = 16

x = 2

Thus:

16 - (x - 6)^2 = (y-2)^2

16 - (2 - 6)^2 = (y-2)^2

16 - (-4)^2 = (y-2)^2

16 - 16 = (y-2)^2

0 =  (y-2)^2

0 = y - 2

2 = y

⇒ C = (2,2)

4 0
3 years ago
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