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Ede4ka [16]
3 years ago
10

1. The ordered pair (-1, -1) is a solution of the system -4x + 2y = 2 and x + y = -2.

Mathematics
1 answer:
Nastasia [14]3 years ago
5 0
1: (-1,-1) is (x, y) to see if it is a solution, you would just plug in x and y and see if the equation is true.
-4 (-1) + 2(-1) = 2
4 + -2 = 2
2 = 2 CORRECT
So... plug in x and y in the second equation to Make sure it works for that one too.
-1 + -1 = -2
-2 = -2 CORRECT
So, yes. (-1,-1) is a solution to both equations.
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Please help!! I don’t understand how to do this problem
Oxana [17]

Answer:

D.

Step-by-step explanation:

y  = 3x \\ \frac{y}{3} = x \\   \\  \frac{3y}{3}  + 2y = 45 \\ y + 2y = 45 \\ 3y = 45 \\ y =  \frac{45}{3} \\ y = 15 \\  \\ x =  \frac{y}{3}  \\  =  \frac{15}{3}  \\  = 5

5 0
3 years ago
Given the points A(-1, -2), B(-1, 2) and C(6,0), use the distance formula to
bazaltina [42]
Answer:

Isosceles triangle

Step-by-step explanation:

A triangle that contains 2 equal sides but one side different

7 0
2 years ago
What are the quotient and remainder of (x^5-x^3+-5) divided by (x-2)
pishuonlain [190]

Answer:

x⁴+2x³ +3x²+6x +12 r. \dfrac{19}{x-2}

Step-by-step explanation:

You can do this through synthetic division. It is a shorthand way of dividing polynomials.

First you need to make your divisor equal to zero so you can solve for what goes into the division box:

x - 2 = 0 →     x = 2

The next step is to arrange your polynomials in descending powers. All missing terms, you will put in a zero.

x⁵ - x³ + (-5)   →  x⁵ + 0x⁴- x³ + 0x² + 0x + (-5)

Now you can proceed to synthetic division. Make an upside down division box with the divisor outside and the coefficients of the dividend listed, along with their sign. Leave a space below the divident

+2 |   +1     0     -1     0     0     -5

    |<u>                                              </u>

Next you bring down the first coefficient:

+2 |   +1     0     -1     0     0     -5

    |<u>                                              </u>

        +1    

Then you multiply it by the divisor and write the product under the next coefficient:

+2 |   +1     0     -1     0     0     -5

    |<u>           +2                                   </u>

        +1    

Next add the column and put the sum below it:

+2 |   +1     0     -1     0     0     -5

    |<u>          +2                                   </u>

        +1    +2

Then multiply again and repeat until you reach the last coefficient:

+2 |   +1     0     -1     0     0     -5

    |<u>          +2    +4   +6   +12   +24 </u>

        +1    +2    +3   +6   +12    +19

Now that you have your results, add  in the x and their powers. The powers will start with the highest power but 1 less than the dividend. Since the dividend's highest power is 5, then the quotient's highest power will be 4. Then write it in descending order :

+1x⁴    +2x³    +3x²   +6x   +12   +19

Now the last coefficient is your remainder. So your results will be:

x⁴+2x³ +3x²+6x +12 r. \dfrac{19}{x-2}

7 0
3 years ago
Read 2 more answers
Plz give explanation.<br> solve | k-10 | = 3
Ne4ueva [31]

Answer:

13

Step-by-step explanation:

Explanation:

Use the absolute value definition to rewrite the absolute value equation as two separate equations.

k-10=3

k-10=-3

Solve the equation for k

k=13

k-10=-3

k=13

k=7

The equation has 2 solutions, meaning k1=7,k2=13. Which gives you the answer of: 13 (K1=7,k2=13)

6 0
2 years ago
How to reduce the fraction 10/63
mr_godi [17]
I'm pretty sure 10/63 is simplified.
6 0
3 years ago
Read 2 more answers
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