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Lerok [7]
2 years ago
14

The rectangle below has an area of x² – 6x – 7 square meters and a width of 3 – 7 meters.

Mathematics
1 answer:
natta225 [31]2 years ago
8 0

Answer:

The expression which represent the length of the rectangle is x + 1

Step-by-step explanation:

Given as :

The Area of rectangle = x² - 6 x - 7  square meters

The width of the rectangle = w = x - 7 meters

Let The length of rectangle = L meters

Now, <u>According to question</u>

∵ Area of Rectangle = Length × width

or, x² - 6 x - 7  meters² = L meters × w meters

or, x² - 6 x - 7 = L × (x - 7)

or, x² - 7 x + x - 7 = L × (x - 7)

or, x (x - 7) + 1 (x - 7) = L × (x - 7)

or, (x - 7) (x + 1) = L × (x - 7)

∴ L = \frac{(x - 7)\times (x + 1)}{(x - 7)}

I,e L = x + 1

So, The length of rectangle = L = x + 1

Hence,The expression which represent the length of the rectangle is x + 1 Answer

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What is the fraction is less than 5/6 and has denominator of 8?
IrinaVladis [17]

Denominator is the number which appears at the bottom of fraction so the fraction we want is in the form X/8 and also less than 5/6

Lets start from changing the values of X from 1.

1/8 = 0.125 and 5/6 = 0.8333

2/8 = 0.25

3/8 = 0.375

4/8 = 0.5

5/8 = 0.625

6/8 = 0.75

7/8 = 0.875, this is greater than 5/6

<span>So, the fractions with denominator 8 and less than 5/6 are 1/8, 2/8, 3/8, 4/8, 5/8 and 6/8</span>

7 0
3 years ago
Anec 2 Matemáticas
Rama09 [41]

Answer:

a) 1 : 100

1 cm en el mapa equivalen a 100 cm en la realidad

b) 1 : 1000

1 cm en el mapa equivalen a 1000 cm en la realidad

c) 1 : 2000

1 cm en el mapa equivalen a 2000 cm en la realidad

d) 1 : 18000

1 cm en el mapa equivalen a 18000 cm en la realidad

Step-by-step explanation:

Tenemos 4 escalas :

a) 1 : 100

b) 1 : 1000

c) 1 : 2000

d) 1 : 18000

Definimos ''escala'' como una relación entre dos números ''a'' y ''b'', generalmente ''a'' y ''b'' son números naturales. Denotamos la escala como :

a : b

En dónde ''a'' representa la longitud del dibujo y ''b'' la longitud real.

Por ende, cuando a estamos en presencia de una escala de reducción y cuando a>b estamos en presencia de una escala de ampliación.

La escala a=b ó 1 : 1 se define como escala natural.

Analicemos cada caso :

a) 1 : 100

Aquí vemos que es una escala de reducción (dado que 1 < 100) por ende cualquier magnitud de longitud en el mapa será 100 veces más grande en la vida real.

En este caso, 1 cm en el mapa equivalen a 100 cm en la realidad.

Análogamente y con el mismo razonamiento, escribimos las relaciones para los casos b), c) y d)  

b) 1 cm en el mapa equivalen a 1000 cm en la vida real

c) 1 cm en el mapa equivalen a 2000 cm en la vida real

d) 1 cm en el mapa equivalen a 18000 cm en la vida real

b), c) y d) también representan escalas de reducción.

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2 years ago
I need help on 11, 12 and 13 please ... :(
Lynna [10]
Question 11= B
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6 0
3 years ago
Which fraction is not equivalent to 7 /30
dybincka [34]
These are the ones that are not equivalent to eachother. 1. 18/30
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8 0
3 years ago
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natali 33 [55]

9x - 2y = 11 ... (i)

5x - 2y = 15 ... (ii)

Subtracting equation (ii) from (i) we get;

4x + 0 = -4

4x=-4 , x = -1

Replacing x = -1 in equation (i) we get;

9(-1) - 2y = 11

-9 - 2y = 11

-2y = 20

y = 20 ÷ -2 = -10

The solution to the system of equations is (-1,-10).

8 0
2 years ago
Read 2 more answers
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