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Mathematics

1 answer:

vladimir2022 [97]3 years ago

7 0

Answer: 138

Step-by-step explanation: all the numbers are written in 3 significant figures so, your answer must be in 3 significant figures; 67.4 + 43.2 + 27.3 = 137.9 so, now write this in 3 significant figures which is 138 (round off the 7).

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What kind of solution is 4x-3 = 2(2x+1) ?

PSYCHO15rus [73]

~ Simplifying

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

~ Reorder the terms:

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

~ Reorder the terms:

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

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

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

~ Add '-4x' to each side of the equation.

-3 + 4x + -4x = -2 + 4x + -4x

~ Combine like terms: 4x + -4x = 0

-3 + 0 = -2 + 4x + -4x

-3 = -2 + 4x + -4x

~ Combine like terms: 4x + -4x = 0

-3 = -2 + 0

-3 = -2

~ Solving

-3 = -2

~ This equation is invalid, the left and right sides are not equal, therefore there is no solution.

5 0

4 years ago

The area of a rectangle is (81x2 − 4y2) square units. Determine the dimensions of the rectangle by factoring the area expression

oksano4ka [1.4K]

Answer:

The dimension of the rectangle are $9\cdot x - 2\cdot y$ units and $9\cdot x + 2\cdot y$ units, respectively.

Step-by-step explanation:

Geometrically speaking, the area of a rectangle is equal to the product of its base and its height. If we know that area of the figure is $81\cdot x^{2} - 4\cdot y^{2}$ square units, then we proceed to factor the expression: