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jenyasd209 [6]
3 years ago
12

A rectangle has a length of 4 inches and a width of x inches the value of the perimeter of the rectangle is equal to the value o

f the area of a rectangle
Mathematics
1 answer:
Elina [12.6K]3 years ago
4 0
X=4 inches
4+4+x+x=4x
8+2x=4x
8=2x
x=4
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Distributive property<br> 7(*+2)+3=73
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X=8 would you like me to explain why?
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3 years ago
Please help thank you
allochka39001 [22]
I think it's 20. Sorry if it's wrong
4 0
3 years ago
Find a positive number for which the sum of it and its reciprocal is the smallest​ (least) possible. Let x be the number and let
Allisa [31]

Answer:

S(x) = x + \frac{1}{x} --- Objective function

Interval = \{x:x=1\}

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

x + \frac{1}{x}

Hence, the objective function is:

S(x) = x + \frac{1}{x}

To get the the interval, we start by differentiating w.r.t x

<em>Using first principle, this gives:</em>

S'(x) = 1 - \frac{1}{x^2}

Equate S'(x) to 0 in order to solve for x

0 = 1 - \frac{1}{x^2}

Subtract 1 from both sides

0 -1 = 1 -1 - \frac{1}{x^2}

-1 = - \frac{1}{x^2}

Multiply both sides by -1

1 = \frac{1}{x^2}

Cross Multiply

x^2 * 1 = 1

x^2  = 1

Take positive square root of both sides because x is positive

\sqrt{x^2} = \sqrt{1

x = 1

Representing x using interval notation, we have

Interval = \{x:x=1\}

To get the smallest sum, we substitute 1 for x in S(x) = x + \frac{1}{x}

S(1) = 1 + \frac{1}{1}

S(1) = 1 + 1

S(1) = 2

<em>Hence, the smallest sum is 2</em>

3 0
3 years ago
8. Simplify and solve this equation: 4m + 9 + 5m – 12 = 42. A. m = 5 B. m = –5 C. m = 4 D. m = -4
STatiana [176]
4m+9+5m-12=42 9m-3=42 Divide bothsides by 9. 9m/9 -3/9=-0.3=-4 m=-4
4 0
3 years ago
Read 2 more answers
Choose the equation that represents the solutions of 0 = 0.25x2 - 8x.
Gre4nikov [31]

Answer:

Step-by-step explanation:

3 0
3 years ago
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