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2 years ago

Solve the system of equations. 2x + 2y + 3z = 3 6x + 3y + 37 = 3 2x + 5y + z = 6

Mathematics

1 answer:

Lyrx [107]2 years ago

3 0

Answer:

1. x=3/2-y-3z/2

2.x=-y/2-17/3

3.x=3-5y/2-z/2

Step-by-step explanation:

i gusse

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Simplify this equation Thanks a lot!!!

den301095 [7]

Answer:

-1

Step-by-step explanation:

We need to simplify the given expression . The given expression is ,

$\rm\implies ( 2 \sqrt6 +5)^{2n-1} ( 2\sqrt6 - 5)^{2n-1}$

Here we can see that the power of the both exponent is same that is (2n+1) . Recall the property of exponents ,

$\bf\implies a^m \times b^m = (ab)^m$

Using this property , we have ,

$\rm\implies ( 2 \sqrt6 +5)^{2n-1} ( 2\sqrt6 - 5)^{2n-1}$

This can be written as ,

$\rm\implies\{( 2 \sqrt6 +5) ( 2\sqrt6 - 5)\}^{2n-1}$

Simplifying using ( a+b)(a-b) = a² - b² ,

$\rm\implies\{( 2 \sqrt6)^2 -5^2 \}^{2n-1}\\\\\rm\implies ( 24 - 25)^{2n-1}$

Subtracting the numbers inside the brackets ,

$\rm\implies (-1)^{2n - 1 }$

Now we know that every odd number is in the form of 2n -1 , where n is any integer. Therefore , the power is odd .

Since the base is (-1) , for even power it is 1 and for odd power it is -1 . Therefore the final answer is ,

$\rm\implies\boxed{\quad \red{ -1 }\quad }$

Hence the required answer is (-1) .

4 0

2 years ago

Elodia [21]

Answer:

33 degrees

Step-by-step explanation:

(4x+1) and (2x-19) add up to 180 degrees

$(4x+1)+(2x-19)=180\\6x-18=180\\6x=198\\x=33$

3 0

1 year ago

Write 9 decimals with three decimal places that when rounded to the nearest hundredth round to 4.56

Alexeev081 [22]

4.555
4.556
4.557
4.558
4.559
4.561
4.562
4.563
4.564

6 0

3 years ago

Read 2 more answers

Can someone please explain?

geniusboy [140]

This is an isosceles triangle. The angles at the base are congruent (they have the same measures).

Look at the picture.

We know: The sum of the measures of angles in a triangle is equal 180°.

Therefore we have the equation:

$2x-10+2x-10+3x+25=180$ combine like terms

$(2x+2x+3x)+(-10-10+25)=180$

$7x+5=180$ subtract 5 from both sides

$7x=175$ divide both sides by 7

$x=25$

$m\angle A=2x-10\to m\angle A=2(25)-10=50-10=40\\\\m\angle C=m\angle A=40\\\\m\angle B=3x+25\to m\angle B=3(25)+25=75+25=100^o$

<h3>Answer: D. m∠C = 40</h3>

6 0

2 years ago

HELP PLS CLICK TO SEE THE QUESTION!!!

Maslowich

Answer:

3 1/4

Step-by-step explanation:

1) Convert 6 1/2 into a fraction and add it to 1/2.

6 -> 12/2

12/2 + 1/2 = 13/2

2) Divide the result by 2 (or multiple the result by the reciprocal of 2)

13/2 x 1/2 = 13/4 or 3 1/4

Hope this helped ^^

5 0

2 years ago