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eduard
2 years ago
14

What is the value of x? Enter your answer in the box. x =

Mathematics
1 answer:
Dmitry_Shevchenko [17]2 years ago
8 0
Answer: x = 20

We know opposite angles are equivalent so we can set both of these expressions equal to each other to solve for x.

3x + 50 = 6x - 10
50 = 3x - 10 (subtract 3x from both sides)
60 = 3x (add 10 to both sides)
20 = x (divide both sides by 3)

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Al factorizar el trinomio cuadrado perfecto, obtenemos el siguiente resultado: (que no se como resolver) xd algun pro que sepa r
PolarNik [594]

Answer:

\displaystyle \frac{100}{81}m^8p^{12}q^{16}z^2-\frac{20}{63}m^5p^7q^8z^5+ \frac{1}{49}m^2p^2z^8=\left(\frac{10}{9}m^4p^{6}q^{8}z-\frac{1}{7}mpz^4\right)^2

Step-by-step explanation:

<u>Trinomio Cuadrado Perfecto</u>

El producto notable llamado cuadrado de un binomio se expresa como:

(a-b)^2=a^2-2ab+b^2

Si se tiene un trinomio, es posible convertirlo en un cuadrado perfecto si cumple con las condiciones impuestas en la fórmula:

* El primer término es un cuadrado perfecto

* El último término es un cuadrado perfecto

* El segundo término es el doble del proudcto de los dos términos del binomio.

Tenemos la expresión:

\displaystyle \frac{100}{81}m^8p^{12}q^{16}z^2-\frac{20}{63}m^5p^7q^8z^5+ \frac{1}{49}m^2p^2z^8

Calculamos el valor de a como la raiz cuadrada del primer término del trinomio:

\displaystyle a=\sqrt{\frac{100}{81}m^8p^{12}q^{16}z^2}

\displaystyle a=\frac{10}{9}m^4p^{6}q^{8}z

Calculamos el valor de a como la raiz cuadrada del primer término del trinomio:

\displaystyle b=\sqrt{\frac{1}{49}m^2p^2z^8

\displaystyle b=\frac{1}{7}mpz^4

Nos cercioramos de que el término central es 2ab:

\displaystyle 2ab=2\frac{10}{9}m^4p^{6}q^{8}z\frac{1}{7}mpz^4

Operando:

\displaystyle 2ab=\frac{20}{63}m^5p^7q^8z^5

Una vez verificado, ahora podemos decir que:

\displaystyle \frac{100}{81}m^8p^{12}q^{16}z^2-\frac{20}{63}m^5p^7q^8z^5+ \frac{1}{49}m^2p^2z^8=\left(\frac{10}{9}m^4p^{6}q^{8}z-\frac{1}{7}mpz^4\right)^2

5 0
2 years ago
Help please! I need help with question 3. I don’t know how to start it. I’ll give brainly☺️
ikadub [295]
First you divide $75 and 0.04. And that will get you the answer.
I already did this question last year.
6 0
3 years ago
Read 2 more answers
Quarters make up what part of the group of coins ? Write the answer as fraction and word firm
aleksandr82 [10.1K]
Quarts = 25 there are 100 in a dollar so you have 25 out of 100

25/100<span />
3 0
2 years ago
4 tomatoes and 8 avocados cost $10. Six tomatoes and 14 avocados cost $17. How much does a single avocado and a single tomato co
Nataly_w [17]

Answer:

One avocado costs $1 and one tomato costs $0.50

Step-by-step explanation:

Set up a system of equations where t is the number of tomatoes and a is the number of avocados:

4t + 8a = 10

6t + 14a = 17

Solve by elimination by multiplying the top equation by 3 and the bottom equation by -2:

12t + 24a = 30

-12t - 28a = -34

Add them together and solve for a:

-4a = -4

a = 1

Plug in 1 as a into one of the equations and solve for t:

4t + 8a = 10

4t + 8(1) = 10

4t + 8 = 10

4t = 2

t = 0.5

So, one avocado costs $1 and one tomato costs $0.50

3 0
2 years ago
Expand (2x-5y)⁷ and find fourth form​
elena55 [62]

Step-by-step explanation:

By binomial theorem,

T(r+1) = nCr * a^(r+1) * b^r

Term 4 = 7C3 * (2x)^4 * (-5y)^3 = 35 * (16x^4) * (-125y^3) = -70000x^4y^3.

3 0
2 years ago
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