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BaLLatris [955]
3 years ago
5

Please help someone

Mathematics
2 answers:
ratelena [41]3 years ago
7 0

Answer:

1. Y

2. N

3. N

4. N

Step-by-step explanation:

Let's use the second equation, since it seems to be easier to use.

To check if an ordered pair is a solution, plug it in to the equation.

1. -10+18=8 --> Y

2. 25-12=13 --> N

3. 0-9=-9 --> N

4. 35-27=8 --> N

Edit : The 4th equation doesn't work for the first equation, whereas the first one still does.

koban [17]3 years ago
4 0

Answer:

(-2,-6)

Step-by-step explanation:

-9x +2y = 6

5x - 3y = 8

1) Make one of the coefficients the same - y.

-9x +2y = 6 * 3

5x - 3y = 8 * 3

-27x +6y = 18

10x - 6y = 16

2) Add the new equations.

(-27x +6y = 18) + (10x - 6y = 16)

(-27x +6y) + (10x - 6y) = 18 + 16

-17x = 34

3) Divide to find the value of x

-17x = 34

x = 34/-17

x = -2

4) Substitute x into either equation to find the value of y.

-9(-2) +2y = 6

18 +2y = 6

2y = -12

y = -12/2

y = -6

5(-2) - 3y = 8

-10 - 3y = 8

-3y = 18

y = 18/-3

y = -6

Your answer is (-2,-6).

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Find the length of the chord made by 3x2 - y2 = 3 and y + x – 5 = 0.
MArishka [77]

Answer:

The correct answer is "9√2 units".

Step-by-step explanation:

The given equations are:

⇒ 3x^2-y^2=3...(equation 1)

⇒ y+x-5=0...(equation 2)

According to the 2nd equation, we get

⇒ y+x-5=0

⇒              y=5-x

On substituting the value of "y" in the 1st equation, we get

⇒  3x^2-y^2=3

     3x^2-(5-x)^2=3

     3x^2-(25+x^2-10x)=3

     2x^2+10x-28=0

On taking common, we get

     x^2+5x-14=0

On applying factorization, we get

     x^2+7x-2x-14=0

   x(x+7)-2(x+7)=0

           (x+7)(x-2)=0

                        x+7=0

                              x=-7

or,

                         x-2=0

                                x=2

Now,

The points are:

(-7, 12) = (x₁, y₁)

(2, 3) = (x₂, y₂)

By using the distance formula, the length of chord will be:

= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

On substituting the values in the above formula, we get

= \sqrt{(2-(-7))^2+(3-12)^2}

= \sqrt{(9)^2+(-9)^2}

= \sqrt{81+81}

= 9 \sqrt{2} units

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2 years ago
What is this value? giving thanks and marking brainliest :)
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Answer:

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Step-by-step explanation:

(x + 2) + 65 = 90

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<u>x = 23 degress</u>

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2 years ago
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Answer:

x = -3

Step-by-step explanation:

16x − 4 + 5x = -67

Combine like terms

21x -4 = -67

Add 4 to each side

21x-4+4 = -67+4

21x = -63

Divide each side by 21

21x/21 = -63/21

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