Mathematics, 28.06.2019 08:30 yvettegonzalez3390yg

The length of a rectangular is 5 centimeters less then it width. the perimeter of the rectangle is 26

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Answer from: la200564

Hi there! :)

Length = 4 cm

Width = 9 cm

Step-by-step explanation:

Here's the information we know:

- Perimeter = 26 cm

- Width = x (I just replaced the width by "x" because it's what we are looking for)

- Length = x - 5

Now before we can do anything, you need to know what the formula for the perimeter of a rectangular is: P = (2 × Length) + (2 × Width)

Replace all the information you know in the formula and solve the equation by isolating "x":

P = (2 × Length) + (2 × Width)

26 = ( 2 × (x - 5)) + (2 × x)

Multiply "2" and "x" together → 2 × x = 2x

26 = ( 2(x - 5)) + 2x

Distribute the "2" to the entire parentheses → 2 × x = 2x & 2 × -5 = -10

26 = 2x - 10 + 2x

Add similar terms together → 2x + 2x = 4x

26 = 4x - 10

Add 10 to each side of the equation → 26 + 10 = 36

36 = 4x

Divide each side of the equation by 4 → 36 ÷ 4 = 9

9 = x ⇒ Measure of the width

Since the lenght is 5 centimeter less than the measure of the width, in order to find the measure of the length you'll need to subtract "5" from the measure of the width, which is "9":

9 - 5 = Length rectangle

9 - 5 = 4 ⇒ Length rectangle

There you go! I really hope this helped, if there's anything just let me know! :)

Answer from: Quest

solution:

the given function is ,

$f(x) = 4 x^3 - 72 x^2 + 320 x,$

= $4x( x^2- 18 x + 80)\\\\ 4 x(x^2-10 x -8 x + 80) \\\\ 4 x[(x-10)(x-8)]$

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

$f(x) = a x^3+ b x^2 + c x+d,$

sum of the roots = a + b +c= 0+8+10=18= $\frac{-b}{a}$

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 = $\frac{c}{a}$

product of roots = a b c = 0= $\frac{d}{a}$

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function $f(x) = 4 x^3 - 72 x^2 + 320 x,$ is given by entry and exit route of this hall.

Answer from: Quest

answer: what is the conflict?

step-by-step explanation:

*what has happened to new york city?

*what is in the time capsule?

* what did the kidz see that gave them hope?

*what will they do with what they find?

* how will they save the city?

* what challenges will they face along the way?

*what big choice will they make at the climax of the story?

* what lesson do they learn at the end of the story?

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The length of a rectangular is 5 centimeters less then it width. the perimeter of the rectangle is 2...