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Natalija [7]
3 years ago
14

In other words, which equations have equivalent expressions? true. 2t + 3t = 6t y + y + y = y(1 + 1 + 1) 3(2 + x) = 6 + 3x 2a +

2b = 4ab x + 3 = 4x
Mathematics
1 answer:
Nonamiya [84]3 years ago
7 0

2t + 3t = 6t is false. The correct answer is 5t.


y + y + y = y(1 + 1 + 1) is true. Correct answer is 3y.


3(2 + x) = 6 + 3x is true. This is an application of the distributive rule for mult.


2a + 2b = 4ab is false. a and b are separate variables with no given relationship to each other. Correct answer would be 2(a+b).


x + 3 = 4x is false. x + 3x = 4x would be true.



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Complete the work to find the dimensions of the rectangle. x(x – 3) = 10 x2 – 3x = 10 x2 – 3x – 10 = 10 – 10 (x + 2)(x – 5) = 0
Norma-Jean [14]

Answer:

Length =5

Width = 2

Step-by-step explanation:

Given

Length =x

Width = x -3

Area = 10

x(x-3) =10

See comment for missing part of the question

Required

Complete the expression to determine the dimension of a rectangle

We have:

x(x-3) =10

Open bracket

x^2 -3x = 10

Equate to 0

x^2 -3x - 10 =0

Expand

x^2 + 2x - 5x - 10 = 0

Factorize

x(x + 2) - 5(x + 2) = 0

Factor out x + 2

(x  - 5)(x + 2) = 0

Solve for x

x - 5 = 0 or x + 2 = 0

x = 5 or x = -2

The value of x cannot be negative

So:

x  = 5

Recall that:

Length = x

Width = x - 3

So:

Length =5

Width = 2 ---- i.e. 5 - 3

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erastovalidia [21]

Answer:

D

Step-by-step explanation:

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