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kotykmax [81]
4 years ago
9

Solve the system by using elimination 3x+3y=-9 3x-3y=21

Mathematics
2 answers:
LekaFEV [45]4 years ago
6 0

Answer:

\large\boxed{x=2,\ y=-5\to(2,\ -5)}

Step-by-step explanation:

\underline{+\left\{\begin{array}{ccc}3x+3y=-9\\3x-3y=21\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad6x=12\qquad\text{divide both sides by 6}\\.\qquad\qquad\boxed{x=2}\\\\\text{Put the value of x to the first equation}\\\\3(2)+3y=-9\\6+3y=-9\qquad\text{subtract 6 from both sides}\\3y=-15\qquad\text{divide both sides by 3}\\\boxed{y=-5}

e-lub [12.9K]4 years ago
3 0

Answer:

y=-5

x=2

Step-by-step explanation:

3x                  +                          3y=-9

3x                  -                          3y=21

-

0+6y=-30

6y=-30

y=-5

3x-15=-9

x=2

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A and C is the answer for the question

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4 years ago
The angle θ 1 is located in Quadrant IV, and cos ⁡ ( θ 1 ) = 9/ 19 , theta, start subscript, 1, end subscript, right parenthesis
Firdavs [7]

Answer:

sin\theta_1 =  - \frac{2\sqrt{70}}{19}

Step-by-step explanation:

We are given that \theta_1 is in <em>fourth</em> quadrant.

cos\theta_1 is always positive in 4th quadrant and  

sin\theta_1 is always negative in 4th quadrant.

Also, we know the following identity about sin\theta and cos\theta:

sin^2\theta + cos^2\theta = 1

Using \theta_1 in place of \theta:

sin^2\theta_1 + cos^2\theta_1 = 1

We are given that cos\theta_1 = \frac{9}{19}

\Rightarrow sin^2\theta_1 + \dfrac{9^2}{19^2} = 1\\\Rightarrow sin^2\theta_1 = 1 - \dfrac{81}{361}\\\Rightarrow sin^2\theta_1 =  \dfrac{361-81}{361}\\\Rightarrow sin^2\theta_1 =  \dfrac{280}{361}\\\Rightarrow sin\theta_1 =  \sqrt{\dfrac{280}{361}}\\\Rightarrow sin\theta_1 =  +\dfrac{2\sqrt{70}}{19}, -\dfrac{2\sqrt{70}}{19}

\theta_1 is in <em>4th quadrant </em>so sin\theta_1 is negative.

So, value of sin\theta_1 =  - \frac{2\sqrt{70}}{19}

6 0
3 years ago
Sasha order 3/5 of a pound of cheese .Each slice of cheese weighs 0.15 pounds. Enter the number of slices of cheese that Sasha w
lapo4ka [179]

Answer:

4. slices

Step-by-step explanation:

because If you turn 3/5 in to a decimal you get 0.6 and each slice of cheese weighs 0.15 so you do 0.6 divided by 0.15

3 0
3 years ago
What is 2x+4x7x-19x+7y+9x
s2008m [1.1K]

Answer: do the math, 39x

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6 0
3 years ago
Read 2 more answers
HELP!!!!!!!!!!!!!!!!
lesya [120]
2x^{2} is a monomial (since it is all connected by multiplication) and since it is in the degree of 2, that makes it a quadratic. 

-2 is a constant (since it doesn't have variables) and it is a monomial (since it is all connected by multiplication)

3x-9 is a binomial (since it has two terms, not connected by multiplication) and since it has x in the power of 1, that makes it a linear equation.

Finally, -3x^{2} -6x + 9 is a trinomial (since it has 3 terms connected by either addition or subtraction) and since the degree of the polynomial is 2, that makes it a quadratic. 
8 0
3 years ago
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