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3 years ago

What is the x-coordinate of the solution to the system of equations?

Mathematics

2 answers:

soldi70 [24.7K]3 years ago

8 0

I believe the right answer is 4y=6x-6 Have a nice day

GenaCL600 [577]3 years ago

4 0

I think it is x= -4 because if you use elimination you would multiply all the values in the first equation so 3x-2y=-30 then multiply each value by two so it would be 6x-4y=-60. Then you would subtract the equations on top of each other to find the y value. you would do 6x-6x=0, -4y-3y=-7y, and -60-3=-63. So the remaining numbers after subtraction would be =7y=-63. Then divide each side by negative 7 and you would get y=9. Next take that number and substitute it into the first equation so it would be 3x-2(9)=-30. Then solve for x. 3x-18=-30, add 18 to both sides. 3x=-12, divide each side by 3. Then you would get x=-4. To check if this works plug in both the y and x value into the other equation (6x+3y=3) and solve to see if they are equal. 6(-4)+3(9)=3, -24=27=3, 3=3. that is how you check the answers are correct.

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a square garden has a diagonal of 12 m. What is the perimeter of the garden? Express in simplest radical form

lianna [129]

Answer:

The perimeter of the garden, in meters, is $24\sqrt{2}$

Step-by-step explanation:

Diagonal of a square:

The diagonal of a square is found applying the Pythagorean Theorem.

The diagonal of the square is the hypothenuse, while we have two sides.

Diagonal of 12m:

This means that $d = 12$ , side s. So

$s^2 + s^2 = 12^2$

$2s^2 = 144$

$s^2 = \frac{144}{2}$

$s^2 = 72$

$s = \sqrt{72}$

Factoring 72:

Factoring 72 into prime factors, we have that:

72|2

36|2

18|2

9|3

3|3

$72 = 2^{3}*3^{2}$

So, in simplest radical form:

$s = \sqrt{72} = \sqrt{2^{3}*3^{2}} = \sqrt{2^3}*\sqrt{3^2} = 2\sqrt{2}*3 = 6\sqrt{2}$

Perimeter of the garden:

The perimeter of a square with side of s units is given by:

$P = 4s$

In this question, since $s = 6\sqrt{2}$

$P = 4s = 4*6\sqrt{2} = 24\sqrt{2}$

The perimeter of the garden, in meters, is $24\sqrt{2}$

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3 years ago

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tekilochka [14]

Answer: I think it might be 3in

Step-by-step explanation: hope it helps

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Solnce55 [7]

Answer:

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Step-by-step explanation:

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What are the excluded values? m+5/mn+3m

In-s [12.5K]

values that are <u>excluded from the domain</u> of a rational expression are values that make the denominator 0, since if that's so, the rational will be undefined. That happens when the denominator is zero out, let's do so

$\bf mn+3m=0\implies m(n+3)=0\implies \begin{cases} m=0\\ n=-3 \end{cases}$

so, if ever m = 0, the denominator will become 0 and the rational becomes undefined, and whenever n = -3, the same will happen to the rational, thus those values are excluded.

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vazorg [7]

Answer:

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Step-by-step explanation:

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