Encuentra las dimensiones de un rectangulo cuyo perímetro es 26 mts y el área es 40m2

Answers

Answer 1

Answer:

Las dimensiones del rectángulo son:

lado corto: 5 cm

lado largo: 8 cm

Step-by-step explanation:

Consideraciones:

El perímetro de un rectángulo se calcula así:

p = 2(lado corto + lado largo)

El área de un rectángulo se calcula así:

a = lado largo * lado largo

Planteamiento:

26 = 2(a+b)

40 = a*b

a = lado largo

b = lado corto

Desarrollo:

de la primer ecuación del planteamiento:

26/2 = a+b

13 = a+b

13-a = b

sustituyendo este último valor en la segunda formula del planteamiento:

40 = a(13-a)

40 = 13*a + a*-a

40 = 13a - a²

-a² + 13a - 40 = 0

a = {-13±√((13²)-(4*-1*-40))} / (2*-1)

a = {-13±√(169-160)} / -2

a = {-13±√9} / -2

a = {-13±3} / -2

a₁ = {-13-3} / -2 = -16 / -2 = 8

a₂ = {-13+3{ / -2 = -10 / -2 = 5


Related Questions

What is the solution to the equation? −12x=−3
Enter your answer in the box.

Answers

Answer:

The answer is 1/4 or 0.25

Step-by-step explanation:

The question is very simple. All we have to do is figure out what -12 multiplied by ______ equals -3

So we can just divide -3 by -12 to find the answer.

-3 / -12 = 0.25

So the answer is 0.25 or 1/4 in fraction form.

Hope this helps! :)

૮ ・ﻌ・ა

Answer:

x = 1/4

Step-by-step explanation:

−12x = − 3

Step 1: Divide both sides by -12.

-12x/-12 = -3/-12

Answer:

x = 1/4

1. Is c=71 a solution to the equation 56 = c - 15 ?
2.Is x = 28 a solution to the equation x + 42 = 70 ?
3. Is m = 83 a solution to the equation m - 32 = 49 ?

Answers

Answer:

1. Yes

2. Yes

3. No

Step-by-step explanation:

What is the value of q in the equation 49 - 2 = 39+8?
q
=
10
0 -
7
10
7
06
0 10

Answers

Answer:

The is no "q" in the equation provided.  If there is supposed to be, please add it.  Otherwise, q is undefined.  It can have any value.  I choose 0.

Step-by-step explanation:

Hey y’all can u give me the correct answer pls.

Answers

Answer:

x > -7 (Hey man think before ask)

Step-by-step explanation:

It is so easy .....

Answer:

-6,-4,-2,3

Equation: x>−7

Step-by-step explanation:

Just ask.

Hope this helps.

What number multiplied by 3/5 has a product of 1?​

Answers

Answer:

5/3

Step-by-step explanation:

let the number be x

3/5×[x] = 3x/5

3x/5=1

x=1÷3/5

x=5/3

Please help iwill give you brainlist

Answers

The answer is 3 = 0.45 and 18 = 2.70

PLEASE HELP!! name the property of equality that the statement illustrates:

if x = y , then -2x = -2y

Answers

The multiplication property of equality states that if [tex]x=y[/tex] is true, then [tex]xz=yz[/tex] must also be true.

The property of equality illustrated by the statement "if x = y, then -2x = -2y" is the: Multiplication Property of Equality.

How to Identify the Property of Equality?

The properties of equality describe the relation between the two sides of an equation and state that the two sides remain equal even after applying the same arithmetic operation on each side.

The property of equality illustrated by the statement "if x = y, then -2x = -2y" is the Multiplication Property of Equality.

This property states that if you multiply both sides of an equation by the same nonzero number, the equality still holds true.

In this question, both sides of the equation are multiplied by -2, maintaining the equality between the expressions.

Read more about Property of Equality at: https://brainly.com/question/1601404

#SPJ3

if , (4x + 3y) : (3x + 4y) = 24 : 25 , find the value of x : y .

don't give unwanted ans to get the points,
well explained ans needed
pls no plagiarism , links and spams

thx for answering :)

Answers

We have ( 4x + 3y ) : ( 3x + 4y ) = 24 : 25

[tex]\\ \sf\longmapsto \: \frac{4x + 3y}{3x + 4y} = \frac{24}{25} [/tex]

[tex]\\ \sf\longmapsto \: 25(4x + 3y) = 24(3x + 4y)[/tex]

[tex]\\ \sf\longmapsto \: 100x + 75y = 72x + 96y[/tex]

[tex]\\ \sf\longmapsto \: 100x - 72x = 96y - 75y[/tex]

[tex]\\ \sf\longmapsto \: 28x = 21y[/tex]

[tex]\\ \sf\longmapsto \: \frac{x}{y} = \frac{21}{28} = \frac{3}{4} [/tex]

Hence ,

x : y = 3 : 4

[tex]\\ \sf\longmapsto \dfrac{4x+3y}{3x+4y}=\dfrac{24}{25}[/tex]

Use cross multiplication

[tex]\\ \sf\longmapsto 24(3x+4y)=25(4x+3y)[/tex]

[tex]\\ \sf\longmapsto 72x+96y=100x+75y[/tex]

[tex]\\ \sf\longmapsto 96y-75y=100x-72x[/tex]

[tex]\\ \sf\longmapsto 21y=28x[/tex]

[tex]\\ \sf\longmapsto \dfrac{x}{y}=\dfrac{21}{28}[/tex]

Cut 7

[tex]\\ \sf\longmapsto \dfrac{x}{y}=\dfrac{3}{4}[/tex]

[tex]\\ \sf\longmapsto x:y=3:4[/tex]

\sqrt{7+\sqrt{2+\sqrt{x+1} } } =3

Answers

First make note of the domain of the left hand side.

• √(x + 1) is defined for x + 1 ≥ 0, or x ≥ -1.

• √(2 + √(x + 1)) is defined for 2 + √(x + 1) ≥ 0. If x ≥ -1, then this condition is satisfied.

• √(7 + √(2 + √(x + 1))) is defined for 7 + √(2 + √(x + 1)) ≥ 0. This condition is also satisified automatically if x ≥ -1.

Now solve the equation. Taking the square of both sides of

√(7 + √(2 + √(x + 1))) = 3

yields

7 + √(2 + √(x + 1)) = 3² = 9

√(2 + √(x + 1)) = 2

Squaring both sides again gives

2 + √(x + 1) = 2² = 4

√(x + 1) = 2

And once more,

x + 1 = 2² = 4   ⇒   x = 3

The slope of a line is (-1/2) and a point on the line is (-2, 3). Find the equation for the line in slope intercept form.

Answers

Answer:

y=-1/2x+2

Step-by-step explanation:

y-y1=m(x-x1)

y-3=-1/2(x-(-2))

y-3=-1/2(x+2)

y=-1/2x-2/2+3

y=-1/2x-1+3

y=-1/2x+2

CAN YOU HELP ME #6 please

Answers

Answer:

Step-by-step explanation:

f(x) = (3x+3)/(x-2)

Use a graphing program such as DESMOS.  See attachment.

The asymptotes are:

The asymptotes are:

y = ± infinity as x  reaches 2

x = ± infinity as y  reaches 3

Pls help me
4(3-x)=6(x+2)+20

Answers

Answer:

x = -2

Step-by-step explanation:

Hello! Can ya'll help? If u do you'll get the crown and be put first place on the nice list

Write a word problem that can be represented by the expression 4 3/8 divided by 8

Answers

Answer:

Word Problem: The length of a shoelace is 4 and 3/8    meters. How many shoelaces can be made from an 8-meter lace?

Step-by-step explanation:

Which function rule best models the data in the table. X: 0,1,2,3 y: 3,4,7,12

Answers

Answer:

x = 3y + 4x

its how graphs work

If the x axis is positive and the y is zero what’s quadrant or axis is it in?

Answers

Quadrant 1

Hope this helps!
Brainliest is much appreciated!

what is 3 3/5 - 6 1/7

Answers

-89/35 = -2 19/35

3 3/5 - 6 1/7
18/5 - 43/7
= -89/35
= -2 19/35

Please help me fill in the blanks :) ​

Answers

Answer:

Absolute value is the distance from numbers on a number line. The absolute value of -7 is 7 b/c it is 7 units from 0. The absolute value of 5 is 5 b/c it is 5 units from 0.

A negative number is a number that is negative. On a horizontal number line negative numbers are to the left.

A positive number is a number that is positive. On a horizontal number line positive numbers are to the right.

I don't understand the last paragraph though. Hope this helped :D

Step-by-step explanation:

Jesse collected 42 football cards and 28 baseball cards. Simplify the ratio of baseball cards to football cards in his collection

Answers

Answer:

3:2

Step-by-step explanation:

42:28

21:14

3:2

is associative prperty holds good under subtraction over integer​

Answers

Answer:

nope

Step-by-step explanation:

A-(b-c)=(A-b)-c

let a be 2, b be 3 and c be 4

2-(3-4)=(2-3)-4

2-(-1)=(-1)-4

2+1=-1-4

3=-5

therefore, association is not goot under subtraction

I hope that helps you and please mark my answer as the brainliast answer.....it would be an honor......

Answer:

No, the associative property does not hold good for the subtraction of integers.

Write the word sentence as a Equation.

The difference between a number p and 6 is -14

Answers

Step-by-step explanation:

how do we find the difference between 2 numbers ? by subtracting one from the other.

p - 6 = -14

p = -8

please help asap!!!!

Answers

Answer:

y > x+1 (D)

Step-by-step explanation:

this equation forms the same graph as shown in the question

What is the value of this expression? 4/15+3/5−2/3 Quick

Answers

Answer:

I  think that would be 1/5

Explanation:

Hope this helps!

what does the quantity 28-8 represent?

Answers

You question implies simple subtraction is needed:

28-8=20

when a number is decreased by 3% the result is 80. what was the original number?

Answers

Answer:

82.47

Step-by-step explanation:

.93n = 80

n = 80/.93

n = 82.47

help me with this!!!

Answers

1
4
3
2
that’s the order

Isolate f variable! Solve the equation algebraically! Show work!!

42 = 6f

Answers

Answer:

f=7

Step-by-step explanation:

42=6f

/6   /6

42/6=7

You divide 6 from 42, which leaves you with 7=f.

1)
Find the value of x and y

Answers

51. Hope it helps!!!!!

The distance between two points, a and b, on a number line is expressed as
|a – b|, where a and b are rational numbers. Think about locating a point halfway between a and b on a number line. How can you find the coordinate for such a point? Develop a formula in terms of a and b that you can use to find the coordinate. Your formula must work for positive and negative values of a and b. Does absolute value play a role in your formula? Why or why not? Under what circumstances might your formula be used in the real world? Explain.

Discuss how you can find the coordinate of a point located other fractional distances from a to b (or from b to a). For example, locate a point three-fourths of the distance from a to b. What kind of calculation is involved?

Answers

The distance between points (a) and (b) is the number of units between the points.

Formula for halfway two

Assume the lesser point is point (a)

To locate the halfway between points (a) and (b)

Calculate the absolute difference between points (a) and (b) i.e. |a - b|Divide the difference into halvesAdd the value of one half to point (a).

The above steps is represented as:

[tex]P = a + \frac{|a - b|}{2}[/tex]

Using the above formula, the halfway point between 5 and 11 would be 8

The formula can be used to calculate the distance between negative points, and absolute values are used to determine the number of units between the points

Real world circumstance

The formula can be used to calculate the halfway distance between two points on a track

Fractional distance

To determine the fractional distance, we simply replace the 1/2 in the original formula with the appropriate fraction.

Take for instance, three-fourths from (a) to (b) would be:

[tex]P = a + \frac{3|a - b|}{4}[/tex]

Read more about distance at:

https://brainly.com/question/9935574

Which point is located in Quadrant III ?

(−1/2, 1/4)

(1/2, −1/4)

(−1/2, −1/4)

I will give you brainliest if you are right

Answers

Answer:

here you go :)

Quadrant lll is always both negative so the answer is (-1/2, -1/4)

Step-by-step explanation:

Write an expression that is equivalent to 21h- 10h + 16 - 9 + 14h + 5

Answers

Answer:

25h+12

Step-by-step explanation:

Combine Like Terms:

21h+−10h+16+−9+14h+5

(21h+−10h+14h)+(16+−9+5)

25h+12

Same thing, no difference.

Hope this helped! :)

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