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

10. The tickets to a ballet cost either $25 or $50. A total of 1,250 tickets, worth $50.000, tickets, which system of linear equations can be used to find the number of each type of ticket sold? 25x + 50y = 50000 x +y = 1250 A. 25x + 50y = 1250 x+y = 50000 B. 25x + x = 50000 50y + y = 1250 C. 25x + 50x = 50000 y +y = 1250 D.​

Answers

Answer:

25x + 50y = 50,000

x + y = 1250

Step-by-step explanation:

Let x = number of $25 tickets

Let y = number of $50 tickets

Equation of the the money of ticket sales:

25x + 50y = 50,000

Equation of the number of tickets:

x + y = 1250

Answer:

25x + 50y = 50,000

x + y = 1250

If Sam & Jack have 3 apples and Sam gives two away BUT Jack buys two more apples, how many apples does Sam & Jack have now?

GIVE RIGHT ANSWER PLEASE DON’T GUESS

Answers

Answer:

3!!!!

Step-by-step explanation:

BRAINLIEST! Write an equation that is true when x is equal to -5, 4, or 0 and for no other values of x , and where one side of the equation is a 4th degree polynomial. (Look at graph for more info)

Answers

Answer:

y = x^3 + x^2 − 20x

Step-by-step explanation:

Find the factors from the roots, then multiply the factors together.

f(x) = x³ + x² − 20x that is equation when x is equal to -5, 4, or 0 and for no other values of x.

What is polynomial?

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Given that

f(x) = (x + 5)(x - 4)(x)

Multiply the factors together.

f(x) = (x + 5)(x² - 4x)

we have to open the brackets above

f(x) = x³ - 4x² + 5x² - 20x

Rearrange the likewise terms and apply the arithmetic operations,

f(x) = x³ + x² − 20x

This equation is true when x is equal to -5, 4, or 0 and for no other values of x.

Learn more about the polynomial here:

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y=

A.39
B.51
C.37

Find what y is through the photo​

Answers

Answer: A, 39

Explained: tan(x) 8/10 = 38.7 which is then rounded to 39

Which expression is equivalent to 4(9k+3)? A) 4(-7k+16k+3) B) 3(9k+4) C) 4(3k+9) D) 9(3k+4)

Answers

Answer:

Option A "4(-7k+16k+3)" would be the appropriate choice.

Step-by-step explanation:

On solving the equation, we get

⇒ [tex]4(-7k+16k+3)[/tex]

On applying BODMAS rule, we get

⇒ [tex]4(9k+3)[/tex]

Therefore,

⇒ [tex]4(9k+3)=4(-7k+16k+3)[/tex]

All other given options are not seems to be the equivalent of the given expression "4(9k+3)". So the above is the right approach.

Look at the subtraction expression below. ( Please. Help. Quick.)
- 1/2 - 1/4
Which number line models this expression?

Answers

Answer:

A.

Step-by-step explanation:

Because they are both subtracting, both lines have to go to the left

Answer:

The answer is A

Step-by-step explanation:

I got a 100 on my test ;)

9x + 3y - 7x - 8y =

Answers

Answer:

2x-5y

Step-by-step explanation:

9x-7x= 2x

3y-8y= -5y

Answer:

....................

Step-by-step explanation:

A cardboard box, which weighs 0.6 pound when empty, is filled with 15 bags of beans and a 4-pound bag of rice. The total weight of the box and the contents inside it is 25.6 pounds. One way to represent this situation is with the equation 0.6 + 15b + 4 = 25.6. 1.In this situation, what does the solution to the equation represent? 2.Select all equations that are also equivalent to 0.6 + 15b + 4 = 25.6. Equation A: 15b + 4 = 25.6 Equation B: 15b + 4 = 25 Equation C: 3(0.6 + 15b + 4) = 76.8 Equation D: 15b = 25.6 Equation E: 15b = 21

Answers

Answer:

Equation E, Equation B, Equation C are equivalent

Step-by-step explanation:

Given Equation:

0.6 + 15b + 4 = 25.6

Check all that applies

Equation A: 15b + 4 = 25.6

0.6 + 15b + 4 = 25.6

15b + 4 = 25.6 - 0.6

15b + 4 = 25

NOT CORRECT

Equation B: 15b + 4 = 25

0.6 + 15b + 4 = 25.6

15b + 4 = 25.6 - 0.6

15b + 4 = 25

CORRECT

Equation C: 3(0.6 + 15b + 4) = 76.8

0.6 + 15b + 4 = 25.6

Multiplying both sides by 3

(0.6 + 15b + 4) ×3 = 25.6 × 3

(0.6 + 15b + 4) ×3 = 76.8

CORRECT

Equation D: 15b = 25.6

0.6 + 15b + 4 = 25.6

NOT CORRECT

Equation E: 15b = 21

0.6 + 15b + 4 = 25.6

15b = 25.6 - 0.6 - 4

15b = 21

CORRECT

Equation E, Equation B, Equation C are equivalent

3) FUNDRAISING At a fundraising event, $10 is donated for every mile ran.
Write a function to represent the situation. *
A. O d-10m
B. O d= m + 10
C. O d=10m +10
D. O dem

Answers

Answer:

A

step-by-step explanation:

"d" I take it means donations or amount donated so if it's 10 per mile ran or 10m then you would write the equation as d=10m so it's A. Hope You found this helpful :D

A function that represents the situation is d = 10m.

The correct option is A.

What is a function?

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.

Given:

At a fundraising event,

$10 is donated for every mile ran.

Let m be the number of miles.

And d is the total donation.

So, the function,

d = 10m

Therefore, d = 10m is the function.

To learn more about the function;

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I need help with the question in the attached image.

Answers

Answer:

Third choice

Step-by-step explanation:

We can subtract 4r by r, and that gives 3r. 3 subtracted by negative 3 gives 6 (Remember, 2 negatives is a positive!). This gives 3r+6

Brainlyp pls!

Which is NOT a solution of the inequality 5 - 2x2-3?*
0
2
4
5

Answers

Step-by-step explanation:

*jnnnnnjrjehyehbr6hry FCC hfy TV

Pls help me and I’ll give brainliest

Answers

Answer:

-2

Step-by-step explanation:

do you need an walk through?

Does octane matter? Some people believe that higher octane fuels result in better gas mileage for their cars. To test this claim, a researcher randomly selected 11 individuals (and their cars) to participate in the study. Each individual was given 10 gallons of 87-octane fuel and 10 gallons of 92-octane fuel. The number of miles each driver was able to drive until they ran out of gas with each type of fuel is recorded below.

Answers

Complete Question

The government believes that​ higher-octane fuels result in better gas mileage for their car. To test this​ claim, a researcher randomly selected 11 individuals to participate in the study. Each participant received 10 gallons of gas (87-octane and 92-octane) and drove his car on a closed course. The number of miles driven until the car ran out of gas was recorded. A coin flip was used to determine whether the car was filled up with​ 87-octane first or​92-octane first, and the driver did not know which fuel was in the tank.

We conducted a paired t-test to see if higher-octane fuels result in better gas mileage, and the test statistic was found to 1.74.

Calculate the p-value.

Answer:

The p-value is  [tex]p-value = 0.0562[/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n  =  11

    The test statistics is  [tex]t = 1.74[/tex]

The null hypothesis is               [tex]H_o : \mu _1 = \mu_2[/tex]

The alternative hypothesis is    [tex]H_a : \mu _1 > \mu_2[/tex]

Here [tex]\mu_1[/tex] is the gas millage for  87-octane fuel while

Here [tex]\mu_2[/tex] is the gas millage for  92-octane fuel

Generally the degree of freedom is mathematically represented as

          [tex]df = n- 1[/tex]

           [tex]df =10[/tex]

Generally from the student t -distribution table  the probability of  t = 1.74 at a degree of freedom of  [tex]df =10[/tex] is

         [tex]p-value = P( t > 1.74) = 0.0562[/tex]

           

I could use some help on this one! Thanks!

Answers

458
the answer is the last one

Answer:

A.) 458  R2

4 5 8

9 | 4 1 2 4

3 6  

5 2

4 5

7 4

7 2

2

458 with a remainder of 2

The formula C=5/9(F−32) can be used to convert temperature from Celsius (C) to Fahrenheit (F). The highest temperature ever recorded in the United States was 134 ∘F in Death Valley on July 10, 1913. What was the temperature that day in Celsius, rounded to the nearest degree?

Answers

Answer:

57 °C.

Step-by-step explanation:

The formula that is used to convert temperature from Celsius (C) to Fahrenheit (F) is given by :

[tex]C=\dfrac{5}{9}(F-32)[/tex] ...(1)

If T = 134° F, we need to convert the temperature in Celsius.

Put F = 134, in equation (1)

[tex]C=\dfrac{5}{9}(134-32)\\\\=\dfrac{5}{9}\times 102\\\\=56.66^{\circ} C\\\\\text{or}\\\\T=57^{\circ} C[/tex]

So, the temperature on that day is 57 °C.



A gift shop wants to make gift baskets for its regular customers. There are 24 bottles
of shampoo, 36 tubes of hand lotion, and 48 bars of soap. The same number of each
item should be in each basket. What is the greatest number of baskets that can be
made?

Answers

Answer:

Find the biggest # that can divide all 3 #'s, and that's your answer.

Step-by-step explanation:

24 is divisible by:

1, 2, 3, 4, 6, 8, 12, 24

36 is divisible by:

1, 2, 3, 4, 6,  9, 12, 18, 36

48 is divisible by:

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The biggest # that can divide all 3 #'s is 12, so the greatest amount of baskets that can be made is 12 baskets.

Look at triangle STU:

A right triangle STU is shown with the right angle at T. The length of side ST is labeled as 12 cm and the length of side TU is labeled as 16 cm.
What is the length (in centimeters) of side SU of the triangle? (1 point)

Question 9 options:

1) 20

2) 22

3) 24
Help

4) 28

Answers

Answer:

1) 20

Step-by-step explanation:

I drew a diagram of the triangle described below.

Note that we can use the Pythagorean Theorem, which states a^2 + b^2 = c^2 where a and b are the legs of the triangle and c is the hypotenuse.

We can apply this here. Since ST and TU are the legs and SU is the hypotenuse we can solve for SU:

SU = square root (12^2 + 16^2) = square root (400) = 20

I hope this helps! :)

need answers to this!!

Answers

Answer:

Yes, it's a function!

Step-by-step explanation:

(The domain represents the x-intercept and the range represents the y-intercept)

You can tell this mapping diagram is a function because each x-intercept (input) has only one y-intercept (output.)

Help look at picture attached I will mark brainliest

Answers

Answer:

angle 3=145

Step-by-step explanation:

1 is complementary meaning add up to 90 so if 1 is 55 then 90-55=35. m<2=35

if 2 and 3 is supplementary meaning adds up to 180 then 180-35=145

2 power of 3 x (8 + 4 - 10)

(PEMDAS)

Answers

Answer:

16

Step-by-step explanation:

First do the operations in the parentheses.

8+4-10 = 2

Then do 2^3.

2^3 = 2*2*2 = 8

Then do 8*2

16

PLEASE HELP whats the answer for this problem

Answers

Answer:

it is 20 me and that other kid did the same thing

Step-by-step explanation:

5x+12 + 3x+8 =180

8x=180-20

8x=160

hope that helps brainly plz

x=20

Someone help me with this pleaseeeeee

Answers

Answer:8 an 40 an 2

Step-by-step explanation:

Convert 1.42 m to customary units

Answers

Answer:

the answer is

Step-by-step explanation:

1.553 yards

1.42 m to customary units is 1.553 yards.

What is customary units?

On the other hand, "customary" US units have relationships that are not powers of 10;

 1 ft = 12 in

 1 yd = 3 ft

 1 rod = 5.5 yd

 1 chain = 4 rods

 1 furlong = 10 chains = 220 yards

 1 mile = 8 furlongs = 1760 yards = 5280 feet

The point of this exercise is to give you an appreciation of the fact that metric length units are related by powers of 10 means units conversion generally consists only of adjustment of the decimal point, or the power of 10 (for numbers in scientific notation).

For example;

1 cm = 10 mm

 1 dm = 10 cm

 1 m = 10 dm = 100 cm = 1000 mm

 1 km = 1000 m

The prefixes m, c, d, k are standard SI prefixes applicable to other SI units as well.

Therefore, the conversion from one unit of US customary measure to another involves conversion factors that are not always easily remembered.

Hence,  1.42 m to customary units is 1.553 yards.

Learn more about conversion here;

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The number of people call 911 on March 25th?
A) continuous
B) discrete
C) categorical

Answers

Answer:

I think the answer is continuous hope this helps

Step-by-step explanation:

Also got subscribe to my YT channel BlxeVxbes

Which value of n makes the equation true?
6n - 2[4n + 7) + 4 = -2

Answers

Answer:

-4

Step-by-step explanation:

6n -8n -14 +4 = -2

-2n = 8

n = -4

let f(x)=3x+5 and g(x)=x^2 find (f-g)(x)

Answers

Answer:

(f - g)(x) = -x² + 3x + 5

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Function NotationCombining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = 3x + 5

g(x) = x²

(f - g)(x) is f(x) - g(x)

Step 2: Find (f - g)(x)

Substitute:                   (f - g)(x) = 3x + 5 - x²Rewrite:                       (f - g)(x) = -x² + 3x + 5

Brian agrees to watch his neighbor’s dogs for 7 days. His neighbor provides a 128-ounce bag of dog food. Buster eats 20.5 ounces in 2 days and Roxy eats 22.5 ounces in 3 days. Does Brian have enough food to feed the dogs all 7 days? Explain.

Answers

Answer:

Yes, he has exactly the right amount

Step-by-step explanation:

Buster- 20. 5 = 2 days  20.5+20.5+20.5+10.25= 71.75 for 7 days

Roxy- 22.5= 3 days 22.5+22.5+11.25=56.25 for 7 days

71.75+56.25= 128oz

Brian will have exactly enough food for 7 days

Nick is saving up for a laptop. His dad gave him $50 to start a savings account. He earns $9 every hour from his job, which he also saves. Write the equation of a function that can be used to find y, the total Nick has saved after x hours.

fill in the blanks
y =__ x + __

Answers

Y=9x+50



50 is what he dad gave him that doesn’t change, we know he works and earns $9 but we don’t know how many hours


The equation for line p can be written as y = 1/4x + 3. Line q includes the point (-1, 5) and is
perpendicular to line p. What is the equation of line q?

Answers

Answer:

[tex]y=-4x+1[/tex]

Step-by-step explanation:

To get this, use the following steps:

1) Knowing that line q is perpendicular to the line p, the slope of line q must be the negative reciprocal of the slope of line p. Thus the slope is [tex]-(\frac{1}{4})^{-1} = -4[/tex]

2) To find the equation, plug in the point given:

   [tex]5 = -4(-1) + b[/tex]

   [tex]b = 1[/tex]

3) The equation of line q is thus:

   [tex]y= -4x+1[/tex]

Sterling got money for his birthday. He spent half of his money on a coat, $74 on sneakers, $42 for a pair of shoes, and had $77 left after shopping. How much money did Sterling get for his birthday?

Answers

Answer:

$112

Step-by-step explanation:

x/2+42= 77

x/2 = 35

x=70

70+42= $112

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