Dos hermanos se llevan 7 años de diferencia y la suma de los cuadrados de sus edades es 337. ¿Qué edad tiene cada uno?

Answer: Step-by-step explanation:

57 - 10x = 45

-10x=-12

x=1.2

- 3y + 10x = -5

-3y+10=-5

-3y=-15

y=5

Answer:

1) 57 - 10x = 45 answer: x=−51/5

2) - 3y + 10x = -5 answer: x=3/10y+−1/2 or y=10/3x+5/3

Step-by-step explanation: Hope this help :D

Answer: 2.25

Step-by-step explanation:

Answer:

x = 80 degrees

Step-by-step explanation:

First look at the upper triangle.  There are two 65 degree angles there, along with two equal sides.  The angles must sum up to 180 degrees.  Therefore:

2(65) + x = 180; thus, the value of x is 50 degrees.

Next, recognize that the vertical angles in the middle of the diagram are equal and are 50 degrees each.  Thus, the smaller triangle has two 50-degree angles.  Again we sum up the angles, obtaining 50 + 50 + x = 180, or x = 80 degrees

Answer:

D. 2 = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

x³ + 3x² = x + 3

x = -1

Step 2: Check

Answer:

Step-by-step explanation:

Rational numbers are the type of numbers that can be written in fraction forms (1/b where a and b are integers and b ≠ 0). Rational numbers also include decimals that are repetitive (0.313131313131) and decimals that end (0.25).

The opposite are irrational numbers that cannot be written in fraction forms and that include decimals that do not end or repeat (0.249654296432926....).

It is good to know a fraction with denomination equal to zero will give an undefined value.

Answer:

Step-by-step explanation:

38 or 37.7 when not rounded

hope this helps

Answer:

a=12

Step-by-step explanation:

We must use SOH, CAH, TOA

SOH= Sin0=opp/hyp

CAH=Cos0=adj/hyp

TOA= Tan0=opp/adj

Since we have opposite and hypotenuse we use Sin ratio, in this case,

sin30°= [tex]\frac{a}{24}[/tex]

[tex]\frac{1}{2}[/tex]=[tex]\frac{a}{24}[/tex] we cross multiply

[tex]\frac{2a}{2}[/tex]=[tex]\frac{24}{2}[/tex]divide both sides by 2 to get a by itself

a=12

Answer:

a = 12

Step-by-step explanation:

To find a, we will use the trigonometric ratio of Sin, since the opposite side of the angle given needs to be found out and the hypotenuse is given;

Sin(30) = [tex]\frac{a}{24}[/tex]

Sin(30) * 24 = a

12 = a

Hope this helps!

The equivalent of the complex number expression is [tex]\sqrt{60i - 11}[/tex] is 2 + 15i

The complex number expression is given as:

[tex]\sqrt{60i - 11}[/tex]

Rewrite as:

[tex]a + bi = \sqrt{60i - 11}[/tex]

Take the square of both sides

[tex]a^2 + 2abi - b = 60i - 11[/tex]

By comparison, we have:

a^2 - b = -11

2ab = 60

Divide both sides by 2

ab = 30

Using a graphical tool, we have:

a = 2,b = 15

So, we have:

a + bi = 2 + 15i

Read more about complex numbers at:

https://brainly.com/question/10662770

#SPJ1

Answer:

1st

Step-by-step explanation:

Answer:

7000

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Since she's not spending more than $32, the equation is 2h + 8 ≤ 32.

Isolate h to find the maximum number of hours she can rent the boat:

2h + 8 ≤ 32

First, subtract 8 from both sides.

2h ≤ 16

Then divide both sides by 2.

h ≤ 8

h, the number of hours, must be less than or equal to 8, so 8 is the maximum number of hours Bernice can rent the boat for.

Answer:

(2, -3), (3, -3)

Step-by-step explanation:

y = x^2 - 5x + 3

y = -3

x^2 - 5x + 3 = -3

x^2 - 5x + 6 = 0

(x - 3)(x - 2) = 0

x - 3 = 0 or x - 2 = 0

x = 3 or x = 2

We are given y = -3.

Answer: (2, -3), (3, -3)

Answer:

(2, -3) , (3, -3)

Step-by-step explanation:

One is asked to find what values of the parameter (x) will yield the result (f(x)=-3) if the function (f(x)) is the following,

[tex]f(x)=x^2-5x+3[/tex]

Set this equation up, and solve to find the value of (x) that satisfies this requirement:

[tex]f(x)=x^2-5x+3=-3[/tex]

Inverse operations,

[tex]x^2-5x+6=0[/tex]

Factor, rewrite the quadratic equation as the product of two linear equations,

[tex](x-2)(x-3)=0[/tex]

Therefore the solutions are the following, the (x-coordinate) represents the input, and the (y-coordinate) represents the output.

(2, -3), (3, -3)

Answer:

9

Step-by-step explanation:

4+(18-13)

4+(5)

9

mark me brainliest

Answer:

[tex]4i + 5i = 4i \times (1 + 5) = 4 \times 3 \times 2 \times 1 \times 6 = 144[/tex]

Answer:

the slope = -2

Answer:

-2

Step-by-step explanation:

Answer:

$225

Step-by-step explanation:

if 1% of 1700 is 17, then multiply 17 by 15, which i 255. so you spent $225 on tuition

Answer:

12 degrees

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

10

Answer:

x = 14

Step-by-step explanation:

arc JL = 180° ( JL is a diameter ), then

arc KL = 180° - 31° = 149° , so

9x + 23 = 149 ( subtract 23 from both sides )

9x = 126 ( divide both sides by 9 )

x = 14

Answer:

X=14

Step-by-step explanation:

360-31-31=298

298/2=149

149-23=126

126/9=14

The Answer Is 7.5

Tangent and 8 makes a right triangle, which is great because you could find the diameter and divide it by 2 to find the radius.

64+d^2=289

d^2=225

d=15

15/2=7.5

Answer:

7

Step-by-step explanation: Ok this coming from a 11 year old. if 7x3= 21 then add 4 its 25 simple

Answer:

Step-by-step explanation:

base times height

your base is 14 and height is 3

so your answer is 42

Answer:

please the answer is 240 cubic centimeters

Answer:

Scale Factor

Step-by-step explanation:

Sorry if im wrong. I just kinda tried :p

Answer:

[tex]Mid(A) = 73[/tex]

[tex]IQR(B) = 8[/tex]

The difference of the medians of class A and class B is between  the interquartile range of either data set.

Step-by-step explanation:

Given

The attached box plots

To answer this, see attached image for how to read a box plot

With reference to the attached image of how to read the box plot;

Solving (a): The median of class A

[tex]Mid(A) = 73[/tex]

Solving (b): IQR of class B

IQR is calculated as:

[tex]IQR =Q_3 - Q_1[/tex]

From the box plot of class B, we have:

[tex]Q_3 = 87[/tex]

[tex]Q_1 = 79[/tex]

So, we have:

[tex]IQR(B) = 87 - 79[/tex]

[tex]IQR(B) = 8[/tex]

Solving (c):

[tex]Mid(A) = 73[/tex]

[tex]Mid(B) = 82[/tex]

[tex]IQR(B) = 8[/tex]

IQR of class A is calculated as:

[tex]IQR =Q_3 - Q_1[/tex]

From the box plot of class A, we have:

[tex]Q_3 = 76[/tex]

[tex]Q_1 = 68[/tex]

So, we have:

[tex]IQR(A) = 78 - 68[/tex]

[tex]IQR(A) = 10[/tex]

The difference (d) between the medians is:

[tex]d =Mid(B) - Mid(A)[/tex]

[tex]d = 82 - 73[/tex]

[tex]d = 9[/tex]

From [tex]smallest[/tex] to [tex]largest[/tex], we have: 8, 9, 10

i.e. IQR(B), d, IQR(A)

Answer:

73

8

about half.

Step-by-step explanation:

Answer: 32 ft

Step-by-step explanation: The ladder and the building and the ground form a right triangle will ladder being the hypotenuse....

pythagorean theorem      hyp2 = 252 + d2

                                                      41^2 - 25^2 = d^2             d =~~ 32 ft

cited from web2.0calc

Hello~

The answer is

-8884

Brainliest please!

Ary~

Step-by-step explanation:

[tex]600 - 9484 \\ = - 8884[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

método de sustitución, el de reducción y el de igualación

Step-by-step explanation:

te escribí 3 aunque tu me dijiste 2 pero yo ya escribí 3

pero espero que te alla servifo de algo mi respuesta dame corona si te sirvio