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makvit [3.9K]
2 years ago
7

How do I multiply (4-√2)(5+√3)

Mathematics
1 answer:
bonufazy [111]2 years ago
6 0

Answer:

17.4076456756

Step-by-step explanation:


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Dado dos ángulos complementarios, uno mide (2x + 10) y el otro (x + 20),
rusak2 [61]

Answer:

El valor de <em>x</em> es igual a 20 o <em>x</em> = 20.

Step-by-step explanation:

Lo primero que se debe saber es que <em>dos ángulos complementarios suman un ángulo recto o 90º</em>.

Supongamos que el valor de un ángulo \\ \alpha y un ángulo \\ \beta valen:

\\ \alpha = 2x + 10 [1]

\\ \beta = x + 20 [2]

Como la suma de  \\ \alpha + \beta = 90 [3]

Entonces

\\ \alpha + \beta = (2x + 10) + (x + 20) = 90

Sumamos los factores comunes entre si:

\\ (2x + x) + (10 + 20) = 90

Para la primera expresión debemos recordar que se suman sólo los coeficientes. Así:

\\ (2 + 1)x + (10 + 20) = 90

\\ 3x + 30 = 90

Para despejar la incógnita <em>x</em>, debemos tener en cuenta que <em>una igualdad no se altera si se suma, se resta, se multiplica o divide un mismo valor a cada lado de ella</em>. Por esta razón, para despejar 3x, lo primero que podemos hacer es sumar -30 a cada lado de la expresión (lo que es igual a restar 30 a cada lado de la misma). Así tenemos:

\\ 3x + 30 - 30 = 90 - 30

\\ 3x + 0 = 90 - 30

\\ 3x = 60

Ahora dividimos cada miembro de la igualdad entre 3 (o multiplicamos cada lado de la igualdad por \\ \frac{1}{3} ):

\\ \frac{3}{3}x = \frac{60}{3}

Como sabemos que:

\\ \frac{3}{3} = 1

Entonces:

\\ 1*x = \frac{60}{3}

\\ x = \frac{60}{3}

\\ x = 20

De esta manera, el valor de <em>x</em> es igual a 20 o x = 20.

Lo anterior lo podemos comprobar considerando las ecuaciones [1], [2] y [3]. Así tenemos que:

\\ \alpha = 2x + 10 [1]

Sustituimos x por el valor de 20:

\\ \alpha = 2*20 + 10 = 40 + 10 = 50

\\ \beta = x + 20 [2]

Hacemos lo mismo para [2]:

\\ \beta = 20 + 20

\\ \beta = 40

De esta manera:

\\ \alpha + \beta = 90 [3]

\\ 50 + 40 = 90

4 0
3 years ago
In ARST, m R = 92° and mZS = 71°. Which list has the sides of ARST in order from
OLga [1]

Answer:which grade are you

Step-by-step explanation:

If you are grade 7 to 9 I know

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3 years ago
X/3+6-2x=-6 Please Help me I am stuck
nata0808 [166]

Answer:

x = 36/5

Step-by-step explanation:

Subtract 6 from both sides

x/3+6-2x-6 = -6-6

Simplify

x/3 - 2x = -12

Multiply both sides by 3

x/3 * 3 - 2x * 3 = -12 * 3

Simplify

-5x = -36

Divide both sides by -5

-5x/-5 = -36/-5

Simplify

x = 36/5

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Which of the following is a source of income?
Sav [38]

Answer:

B. Invesment

<em>Correct </em><em>me </em><em>if </em><em>You </em><em>want </em><em>If </em><em>its </em><em>wrong. </em>

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Explain how to find the area of the triangle when x = 3 inches. then find the area
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To find the area of a triangle, multiply the base by the height, and then divide by 2. The division by 2 comes from the fact that a parallelogram can be divided into 2 triangles.

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