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attashe74 [19]
2 years ago
15

Use addition to solve the linear system of equations. Include all of your work in your final answer.x-y=4 x+2y=4

Mathematics
1 answer:
stepladder [879]2 years ago
5 0

Answer:

x = 4 , y = 0

Step-by-step explanation:

x -    y = 4 --------- ( 1 )  

x + 2y = 4 -------- ( 2 )

( 1 ) x - 1 => - x + y = - 4  -------------( 3 )

( 2 )      =>    x + 2y = 4  ----------- ( 2 )

( 2 ) + ( 3 ) => 0 x  + 3y = 0

               => y = 0

Substitute y = 0 in ( 1 ) => x - y = 4

                                  => x - 0 = 4

                                        x = 4

         

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Tanθ=<br><br> a. 1 - cot^2 θ<br> b. 1/cot θ<br> c. 1 + sec^2 θ
DIA [1.3K]

Answer:

tanθ =  \frac{sinθ}{cosθ} \\ =  \frac{1}{ \frac{cosθ}{sinθ} }  \\  =  \frac{1}{cotθ}

<u>b. 1/cot θ</u>

7 0
3 years ago
Read 2 more answers
Two married couples have purchased theater tickets and are seated in a row consisting of just 4 seats. If they take their seats
Licemer1 [7]

Answer:

The answer is 0.75.

Step-by-step explanation:

To use probability of a complement event, we need to find the situation where none of the couples are sitting next to each other which can happen either two husbands are sitting in the seats 2 and 3 or two wives are sitting in the seats 2 and 3. Also in the first scenario, the wives would need to be sitting at the opposite ends to their husbands and vice versa for the second scenario.

So there are in total 4 scenarios where no couple is sitting next to each other.

There are a total of 16 different ways that they can be seated so the probability of compelement is 16 - 4 = 12, which is 3/4 of the total, meaning that the probability of at least one of the wives sittting next to her husband is 0.75 or 75%.

I hope this answer helps.

7 0
3 years ago
A recipe uses 8 3/4 cups of milk for every 3 1/2
Fed [463]
2 1/2 cups of milk for each cup of oatmeal
4 0
2 years ago
In ΔEFG, e = 8.9 cm, f = 7.7 cm and g=2.2 cm. Find the measure of ∠F to the nearest degree.
Setler79 [48]

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51 degrees

Step-by-step explanation:

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7 0
3 years ago
A line segment has endpoints Q(-16, -12) and R(21, -8).
gulaghasi [49]

Answer:

(2.5, - 10 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( \frac{x_{1}+x_{2}  }{2} , \frac{y_{1}+y_{2}  }{2} )

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4 0
2 years ago
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