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kirill [66]
3 years ago
15

Geometry The length of a rectangle is repfesented by 4a + 3b, and its width is represented by 3a 2b. Write a polynomial for the

perimeter of the rectangle. What is the minimum perimeter of the rectangle if a whole number? 12 and b is a non-zero
Mathematics
1 answer:
Finger [1]3 years ago
6 0
the correct question is
<span>The length of a rectangle is represented by 4a + 3b, and its width is represented by 3a-2b. Write a polynomial for the perimeter of the rectangle. What is the minimum perimeter of the rectangle if a=12 and b is a non-zero </span>whole number?

we know that
Perimeter of a rectangle=2*[length + width]
length=(4a+3b)
width=3a-2b
so
P=2*[(4a+3b)+(3a-2b)]-----> P=2*[7a+b]-----> P=14a+2b

the answer part a) is
A polynomial for the perimeter of the rectangle is P=14a+2b

Part b) 
for a=12
P=14*12+2b---------> P=168+2b
<span>the minimum perimeter of the rectangle is for b=1
</span>so
P=168+2*1-----> P=170 units

the answer part b) is 
the minimum perimeter of the rectangle is 170 units


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Dos numeros naturales se diferencian en 7 unidades y la suma de sus cuadrados es 289
NeTakaya

Answer:

15 y 8

Step-by-step explanation:

y = x - 7

x² + y² = 289

sustituir: x² + (x - 7)² = 289

distribuir: x² + x² - 14x + 49 = 289

sustraer + simplificar: 2x² - 14x - 240 = 0

dividir: x² - 7x - 120 = 0

x² - 15x + 8x - 120 = 0

(x - 15)(x + 8) = 0

x = 15, x = -8 --> x ≠ -8 porque -8 no es naturales

sustituir: y = 15 - 7

simplificar: y = 8

6 0
3 years ago
What is the relation between the variables in the equation x^4/y=7?
makkiz [27]

Answer:

So, the relation between variables are

y=\frac{x^4}{7}

Step-by-step explanation:

We are given

\frac{x^4}{y}=7

Since, we have to find relation between variables

so, we can solve for y

\frac{x^4}{y}=7

Firstly, we will multiply both sides by y

\frac{x^4}{y}\times y=7\times y

we can simplify it

x^4=7\times y

we can isolate y

so, we can divide both sides by 7

so, we get

y=\frac{x^4}{7}


8 0
3 years ago
PLEASE HELP!!! 30+ POINTS
DedPeter [7]

Answer:

A measure of average is a value that is typical for a set of figures. Finding the average helps you to draw conclusions from data. The main types are mean, median and mode. Data is also often grouped.

Step-by-step explanation:

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3 years ago
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Zarrin [17]

Answer:

4:9

Step-by-step explanation:

  1. Circles: 8
  2. Total shapes: squares + circles
  3. Total shapes: 10 + 8
  4. Total shapes: 18
  5. Circles : Total shapes = 8:18
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Laura is planning a party for her son. She has $50 dollars remaining in her budget and wants to provide one party favor per pers
enyata [817]

Answer:

The system of inequalities that represents this situation is:

x+y≥10

6x+4y≤50

Step-by-step explanation:

As the statement says that Laura wants to provide one party favor per person to at least 10 guests, the first inequality would indicate that the number of stuffed animals plus the number of toy trucks should be equal or greater than 10:

x+y≥10

Also, the statement indicates that miniature stuffed animals cost $6.00 each and the toy trucks cost $4.00 each and that Laura has $50. From this, you would have an inequality that indicates that 6 for the number of miniature stuffed animals and 4 for the number of toy trucks would be equal or less than 50:

6x+4y≤50

The answer is that the system of inequalities that represents this situation is:

x+y≥10

6x+4y≤50

4 0
3 years ago
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