Let the area of a rectangle in square metres is
[tex] {x}^{2} + 13x + 42[/tex]
How much longer is the length than the width of the rectangle?
A. 7m
B. 8m
C. 1m
D. 6m

Answers

Answer 1

Answer:

C)1m

Step-by-step explanation:

So the length and width is

x²-13x+42=0

(x-7)(x-6)=0

x-7=0

x-6=0

x=7 (length)

x=6 (width)

So the difference between length and width is

=7-6

=1m

Answer 2

Answer:

[tex]C.1\ m[/tex]

Step-by-step explanation:

[tex]We\ are\ given\ that,\\Area\ of\ the\ rectangle=x^2+13x+42\\Hence\ lets\ factorize\ this\ area\ completely:\\x^2+13x+42\\=x^2+6x+7x+42\\=x(x+6)+7(x+6)\\=(x+7)(x+6)\\Hence,\\Area\ of\ the\ rectangle=(x+7)(x+6)\\As\ we\ know\ that,\\Area\ of\ a\ rectangle=Length*Width\\Area\ of\ a\ rectangle=lw\\Here,\\lw=(x+7)(x+6)\\Hence,\\l=(x+7),w=(x+6)\ or\ l=(x+6),w=(x+7)\\But\ generally\ the\ length\ of\ a\ rectangle\ is\ greater\ than\ it's\ width.\\Hence\ the\ first\ solution\ is\ suitable\ here.\\[/tex]

[tex]Hence,\\l=(x+7),w=(x+6)\\Hence\ in\ order\ to\ find\ the\ difference\ between\ the\ length\ and\ width\\ we\ must\ perform\ the\ operation :l-w\\Hence,\\(x+7)-(x+6)\\=x+7-x-6\\=1\ m[/tex]


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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

The correct answer is (2,1)

Step-by-step explanation:

The distance, midpoint, and slope  are 4√5 , (2 , 1) , 1/2 respectively.

What are the distance, midpoint, and slope  between two points?

For any two points A( x₁ , y₁ ) B( x₂, y₂)   the distance, midpoint, and slope  are given by:  1)     [tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]  

                       2)  M(x , y) = { (x₁ + x₂)/2 , (y₁ + y₂)/2 }

                      3)  m= y₂ - y₁ / x₂ - x₁

Given here the points A(-2,-1) and B(6,3)

substituting the values we get,

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  [tex]d = \sqrt {\left( {8 } \right)^2 + \left( {4 } \right)^2 }[/tex]

[tex]d = \sqrt {\left( 80{ \right)^ }[/tex]

[tex]d =4\sqrt {\left5 }[/tex]

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Hence,  distance, midpoint, and slope  are 4√5 , (2 , 1) , 1/2 respectively.

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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using formula

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here we end :P

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃

Sue juiced oranges from her orange trees. From the first two trees she collected 2/6 gallon of juice from each tree. The last tree yielded 2/3 gallon. After using some of the juice she collected for breakfast, Sue found that she only had 3/4 gallon of juice left. How much juice did she use for breakfast?

Answers

Answer:

Step-by-step explanation:

She collected 2/6 gallon of orange juice from two trees and 2/3 from the last tree.  To add these two fractions, both must have common denominators.

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Work out
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% of
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Answers

Answer:

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Answer:

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Step-by-step explanation:

In short-

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Answers

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A diagonal is a line segment connecting the opposite vertices (or corners) of a polygon. In other words, a diagonal is a line segment connecting two non-adjacent vertices of a polygon.

Here given that,

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What is the solution to
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Answers

Answer:

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Step-by-step explanation:

Answer:

The answer is choices C.

Step-by-step explanation:

Let's solve your inequality step-by-step.

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Step-by-step explanation:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

Refer to the circles to complete the following item.

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Refer to the table to answer the questions.

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Answers

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d

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers Are

Answers

Answer:

C. Because they have the same slopes and different y-intercepts

Step-by-step explanation:

Answer:

Your answer would be the 3rd one.

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I hope that this is the answer you were looking for!

Have a great day!

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Answer:

i think right 4 up 2!! Sorry if i'm wrong!

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Answers

Answer:

to know the summation of angles: (n-2)*180

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Step-by-step explanation:

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Step-by-step explanation:

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Tax: $137.75

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Answers

Answer:

3 cups per batch

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

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Una casa de dos plantas esta construida en un terreno rectangular de 66m² , tal como lo muestra los siguientes pasos si x es el frente de la casa y x+5 el largo. De la ecuacion cuadratica que define el area del terreno es x² + 5x-66=0 ¿Cuanto mide el frente de la casa?

Answers

Answer:

El frente de la casa es 6 metros.

Step-by-step explanation:

El area de la casa está dada por el área de un rectángulo:

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En donde f es el frente = x , l es el largo = x+5 y A es el área = 66m²

Si la ecuación cuadrática que define el área del terreno viene dado por:

[tex] x^{2} + 5x - 66 = 0 [/tex]          

Resolviendo la ecuación cuadrática para x tenemos:

x₁ = -11 y x₂ = 6                                

Tomando el valor positivo, podemos decir que el frente de la casa es 6 metros.

Espero que te sea de utilidad!                              

a worker produced 480 parts over an 8-hour shift. how many parts per hour did the worker produce.

Answers

Answer:

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Step-by-step explanation:

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2. w = m + 10, , w + m = 180,
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4. w = 3m + 10
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Answers

Answer:

Step-by-step explanation:

Option 4 is the correct answer

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