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 1

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:

[tex]A = f*l = x (x+5) = 66[/tex]

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!                              


Related Questions

Five congruent squares are put together without gaps or overlap to form a figure shaped like a plus sign. The
perimeter of the figure is 72 cm. Find the area of the figure, in cm?

Answers

Answer:

180 square centimeters

Step-by-step explanation:

Because the five squares are congruent, the 12 sides of the figure are all equal in length. Then the length of one side is 72/12 = 6 cm. Therefore, the area of each square is 36 sq cm and the area of the figure, 5 x 36, is 180 sq cm.

Together, teammates Pedro and Ricky got 2687 base hits last season. Pedro had 281 more hits than Ricky. How many hits did each player​ have? help quick

Answers

Answer:

Let x be the number of hits Ricky has. Then x+277 is the number of hits Pedro has. Adding Ricky's and Pedro's hits give you 2685 hits. Therefore, x+(x+227)=2685 2x+227=2685 2x=2408 x=1204 x+277 1481 Therefore, Ricky has 1204 hits and Pedro has 1481 hits.

Step-by-step explanation:

Jana has a sandbox that is 4 1/2 feet long, 5 feet wide, and 1/2 foot deep. How many cubic feet of sand does she need to fill the sandbox completely.

Answers

Answer:

She needs to fill [tex]11\frac{1}{4}[/tex] ft³ in order to fill the sandbox completely.

Step-by-step explanation:

length = [tex]l[/tex]= [tex]4\frac{1}{2}=\frac{9}{2}=4.5[/tex]  feet

width = [tex]w=[/tex] 5 feet

depth = [tex]h=\frac{1}{2}=0.5[/tex] feet

Sandbox is just like a rectangular prism. In order to fill the sandbox completely, we need to determine the volume.

Thus, the formula to find the volume of a rectangular prism can be computed using the formula

[tex]V\:=\:l\:\times \:w\:\times \:h[/tex]

[tex]V=4\frac{1}{2}\times 5\times \frac{1}{2}[/tex]

    [tex]=\frac{9}{2}\times \:\:5\times \:\frac{1}{2}[/tex]

     [tex]=\frac{45}{2\times \:2}[/tex]

     [tex]=11\frac{1}{4}[/tex] ft³

Thus, she needs to fill [tex]11\frac{1}{4}[/tex] ft³ in order to fill the sandbox completely.

I’ll mark you brainlist I’ll mark you brainlist

Answers

Answer:

Would be the approx 17.55 or 12p

Step-by-step explanation:

Mark me brainliest because you promised it and have a splended day ( ^ :

The slope is 2/1 or just 2 and usually the slope is also known as rate of change so the answer should be 2

A. 48
B. 44
C. 52
D. 40

6. The sum of the ages of a father and his son is 74. Four years ago the
father's age was twice as old as his son. How old is the father now?​

Answers

Answer:

A (48)

Step-by-step explanation:

let the father's age = x and his son's age = y

according to the question,

the sum of their ages is 74

×+y=74......equation 1

four years ago (i.e x-4 & y-4) father's age was twice as old as his son

x-4=2(y-4)

or, x-4=2y-8

x-2y=-4.......equation 2

now, in equation 1

x+y=74

hence,

x=74-y

substituting the values in equation 2

x-2y=-4

(74-y)-2y=-4

74-y-2y=-4

74-3y=-4

74+4=3y

3y=78

y=78/3

y=26

Hence the kid is 26 years old

x+y=74

x+26=74

x=74-26

x=48

Hence the dad is 48 years old

Answer:

The correct answer is: Option A: 48

Step-by-step explanation:

Let x be the present age of father and y be the present age of son

Given that

"The sum of the ages of a father and his son is 74"

[tex]x+y = 74\ \ \ Eqn\ 1[/tex]

Now

x-4 will be the age of father 4 years ago

y-4 will be the age of son 4 years ago

The equation will be:

[tex]x-4 = 2(y-4)\\x-4 = 2y-8\\x-2y-4 =-8\\x-2y = -8+4\\x-2y = -4\ \ \ Eqn\ 2[/tex]

From equation 1:

[tex]x = 74-y[/tex]

Putting in equation 2

[tex]74-y-2y = -4\\74-3y = -4\\-3y = -4-74\\-3y = -78\\\frac{-3y}{-3} = \frac{-78}{-3}\\y = 26[/tex]

Put y = 26 in equation 1

[tex]x+26 = 74\\x = 74-26\\x = 48[/tex]

The father is 48 years old now.

Hence,

The correct answer is: Option A: 48

Find the sale price of the item. Round to two decimal places if necessary. Original price: $238.13 Markdown: 70% The sale price is $

pls help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! due very soon!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

$71.44

Step-by-step explanation:

Yo can I get some help with this!

Answers

Answer:

b=56

Step-by-step explanation:

Try

JK has endpoints located at J(15, - 13) and K(-9, 27). What are the coordinates of the midpoint of JK?

Answers

Answer:

[tex](3,7)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Step-by-step explanation:

Step 1: Define

Point J (15, -13)

Point K (-9, 27)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint.

Substitute [MP]:                    [tex](\frac{15-9}{2},\frac{-13+27}{2})[/tex]Subtract/Add:                       [tex](\frac{6}{2},\frac{14}{2})[/tex]Divide:                                   [tex](3,7)[/tex]

What is m<XYZ? I don't know how to solve

Answers

Answer:

<XYZ = 83

Step-by-step explanation:

we can see that the line XY is tangent to point Y

we can also the see that <XYZ intersects the line that forms arc 166

when a tangent line intersect the line that forms an arc, the angle formed by the tangent will be equal to half of the arc

so in other words angle XYZ is 0.5 of Arc 166

so <XYZ = 83

Ella read 1/3 of a page in 1/15 of a minute. How many minutes does it take her to read a full page?

Answers

Answer:

3/15 of a minute

Step-by-step explanation:

Help!! 10 pts and brainliest!

Answers

Answer:

4.4

Step-by-step explanation:

10/4=11/x

2.5=11/x

x= 2.5*11 =4.4

How could the statement "12 less than x" be written?

Answers

Answer:

The statment would be written as "12 - x".

The triangles shown below may not be congruent.

A. True
B. False

Answers

TRUEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answer: B. False.

They are in face Congruent! :)

I WILL GIVE BRAINLEST

Angela has 5 fewer quarters than twice the number of her dimes. If d represents
the number of dimes Angela has, which expression represents the total number of
Angela’s quarters and dimes


PLSSS SHOW YOUR WORK PLSSSSSS

Answers

Answer:

2d-5=Q ?

Step-by-step explanation:

Am I supposed to be representing quarters too? I think this should solve it though. Lmk if somethings wrong :)

I NEED HELP ITS TIMED​

Answers

Answer:

Binomial

Step-by-step explanation:

This is because it has two terms

The table shows the balance of Steven's savings account over time. Assuming there are no withdrawals, if you graph the relationship for Steven's monthly balances, which points will lie on the resulting line?

Answers

Answer:

(23, 9,200) (26, 10,400)

those are the only 2

The point-slope form of the equation of the line that passes through (-4,-3) and (12, 1) is y-1=1/4(x-12). What is
the standard form of the equation for this line?
x - 4y = 8
O x - 4y=2
4% - y = 8
O 49 - y = 2

Answers

Answer:

The answer is: x-4y=8

Factor the following by completing the square w^4-22w^2+9

Answers

Answer:

(w² - 4w - 3) (w² + 4w - 3)

Step-by-step explanation:

w² + 4w³ - 3w² -4w³ - 16w² + 12w-3w² - 12w + 9

pls pls answer this lol

Answers

Step-by-step explanation:

V101.08 is your questions answer

Answer:

10

Step-by-step explanation:

Firstly, check for square roots above and below rt(101) that you know.

Below: rt(100) = 10

Above: rt(121) = 11

As rt(100) is the closest to rt(101), your answer will be 10.

Hope this helps! :D

What is the slope of the line shown?

Answers

the slope would be -1/3
I think the answer is -1/3

Rob was driving his car slowly and then increased its speed by 40.5 miles per hour to reach a top speed of 60 miles per hour. What was his car's initial speed?​

Answers

Answer:

19.5

Step-by-step explanation:

60 - 40.5 = 19.5.

QUICK !!!

What is the equivalent form of y +2 = -3(2 – 4) in slope-intercept form?

A) y = -3x + 10

B) y=32 + 10

C) y = 3x – 14

D) y= -3x – 14

Answers

Answer:

Is there any other Answers?

cuz I got y=4

I believe it’s b but I’m not that sure

If bc+ad=b solve for a

Answers

Answer:

10

Step-by-step explanation:

Answer:

a = c/d

Step-by-step explanation:

ad = b-bc

ad = c

a = c/d

81-1 1/5 x < 55
please help i need help fast

Answers

Step-by-step explanation:

81 - 1.2x < 55

81 < 55 + 1.2x (add 1.2x to both sides)

1.2x > 26 (subtract 55 from both sides)

x > 21 2/3.

What is 345 divied by 189 remander2

Answers

Answer:

37

4 remander

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 5 on the left side and the dividend 189 on the right side like this:

           

   5 ⟌ 1 8 9

Step 2:

The divisor (5) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top:

       0    

   5 ⟌ 1 8 9

Step 3:

Multiply the divisor by the result in the previous step (5 x 0 = 0) and write that answer below the dividend.

       0    

   5 ⟌ 1 8 9

      0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

       0    

   5 ⟌ 1 8 9

     - 0    

       1    

Step 5:

Move down the 2nd digit of the dividend (8) like this:

       0    

   5 ⟌ 1 8 9

     - 0    

       1 8  

Step 6:

The divisor (5) goes into the bottom number (18), 3 time(s). Therefore, put 3 on top:

       0 3  

   5 ⟌ 1 8 9

     - 0    

       1 8  

Step 7:

Multiply the divisor by the result in the previous step (5 x 3 = 15) and write that answer at the bottom:

       0 3  

   5 ⟌ 1 8 9

     - 0    

       1 8  

       1 5  

Step 8:

Subtract the result in the previous step from the number written above it. (18 - 15 = 3) and write the answer at the bottom.

       0 3  

   5 ⟌ 1 8 9

     - 0    

       1 8  

     - 1 5  

         3  

Step 9:

Move down the last digit of the dividend (9) like this:

       0 3  

   5 ⟌ 1 8 9

     - 0    

       1 8  

     - 1 5  

         3 9

Step 10:

The divisor (5) goes into the bottom number (39), 7 time(s). Therefore put 7 on top:

       0 3 7

   5 ⟌ 1 8 9

     - 0    

       1 8  

     - 1 5  

         3 9

Step 11:

Multiply the divisor by the result in the previous step (5 x 7 = 35) and write the answer at the bottom:

       0 3 7

   5 ⟌ 1 8 9

     - 0    

       1 8  

     - 1 5  

         3 9

         3 5

Step 12:

Subtract the result in the previous step from the number written above it. (39 - 35 = 4) and write the answer at the bottom.

       0 3 7

   5 ⟌ 1 8 9

     - 0    

       1 8  

     - 1 5  

         3 9

     -   3 5

           4

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 189 divided by 5 calculated using Long Division is:

37

4 Remainder

3(x+1)-2x=-6
Slove this

Answers

Answer:

x = -9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

3(x + 1) - 2x = -6

Step 2: Solve for x

Distribute 3:                    3x + 3 - 2x = -6Combine like terms:       x + 3 = -6Isolate x:                          x = -9

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    3(-9 + 1) - 2(-9) = -6Add:                                     3(-8) - 2(-9) = -6Multiply:                               -24 + 18 = -6Add:                                     -6 = -6

Here we see that -6 does indeed equal -6.

∴ x = -9 is the solution to the equation.

can someone help me with this?

Answers

Answer:

A'(-2,0) B'(-3,5) C'(0,4)

Step-by-step explanation:

all u have to do is count each original point 3 units left and 4 units up like what the rule for the translation says.

Answer:

A. (-2,0)

B. (-3,5)

C. (0,4)

Round 7.284 to the nearest thousandth.

Answers

Answer:

7.28

Step-by-step explanation.

4 is rounded down to 80 and if you just take away the 0 in 80 its 8.

Answer:

it already is

Step-by-step explanation:

.2 is the tenth .28 is the hundredth and .284 id the thousandth. there arent any more decimals after that thousandth so you cant round up or down

11. Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second. Hank is driving a boat
at 25 mph and is decreasing his speed by 0.7 mph each second. Which of the following equations could be used
to determine x, the number of seconds it will take for the boats to be traveling the same speed?
A. 12x + 0.2 = 25x -0.7
C. 12.2x = -25.7x
B. 12 -0.2x = 25 +0.7X
D. 12 +0.2x = 25-0.7x

Answers

12+0.2x=−25−0.7x

Stay Safe!!

tan²A -cot²A = sec²A(1-cot²).Trigonometic Identity​

Answers

your proving is in photo

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