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2 years ago

Please help me on this

Mathematics

1 answer:

PolarNik [594]2 years ago

8 0

Answer:

it's d

Step-by-step explanation:

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The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is 2l + 2w = 16, where l

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2l + 2w = 16

2(l + w) = 16

l + w = 8

Lengths could be any numbers greater than 0 and less than 8

0 < l < 8

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3 years ago

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What are the solutions of x^2+2x-3=0?

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X= 1,-3 If you factor equation you get x-1=0 and x+3=0

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2 years ago

When a constant force acts upon an object, the acceleration of the object varies inversely with its mass. When a certain constan

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Answer:

$a = 6m/s^2$

Step-by-step explanation:

Given

When mass = 4kg; Acceleration = 15m/s²

Required

Determine the acceleration when mass = 10kg, provided force is constant;

Represent mass with m and acceleration with a

The question says there's an inverse variation between acceleration and mass; This is represented as thus;

$a\ \alpha\ \frac{1}{m}$

Convert variation to equality

$a = \frac{F}{m}$ ; Where F is the constant of variation (Force)

Make F the subject of formula;

$F = ma$

When mass = 4kg; Acceleration = 15m/s²

$F = 4 * 15$

$F = 60N$

When mass = 10kg; Substitute 60 for Force

$F = ma$

$60 = 10 * a$

$60 = 10a$

Divide both sides by 10

$\frac{60}{10} = \frac{10a}{10}$

$a = 6m/s^2$

<em>Hence, the acceleration is </em> $a = 6m/s^2$ <em />

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3 years ago

----------- are used to represent an unknown quantity in a mathematical expression.

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A letter or symbol is used to represent an unknown quantity

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Write the equation for:

xenn [34]

Answer:

$\frac{1}{2} x +x = 2 (x-4)$

Step-by-step explanation:

Suppose number is x

Following equation can be written from question statement

$\frac{1}{2} x +x = 2 (x-4)$

Simplifying it further

$\frac{3}{2} x = 2x-8$

$\frac{3}{2} x -2x=-8$

$\frac{3x-4x}{2}= -8$

$-x= -16\\x=16$

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2 years ago