Which ordered pair is a solution of the equation? 3r - y = 13

Mathematics

1 answer:

Svetach [21]3 years ago

6 0

Answer:

(0,-13)(1,-10)(2,-7)

Step-by-step explanation:

It has three values for x

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Write down the value of 12^0

Georgia [21]

Answer:

12^0=1

Step-by-step explanation:

anything to the power of 0 is equal to 1

4 0

2 years ago

Which of the following is the product of the rational expression shown below

wolverine [178]

Option C: $\frac{x^{2}-9}{x^{2}-4}$ is the product of the rational expression.

Explanation:

The given rational expression is $\frac{x+3}{x+2} \cdot \frac{x-3}{x-2}$

We need to determine the product of the rational expression.

<u>Product of the rational expression:</u>

Let us multiply the rational expression to determine the product of the rational expression.

Thus, we have;

$\frac{(x+3)(x-3)}{(x+2)(x-2)}$

Let us use the identity $(a+b)(a-b)=a^2-b^2$ in the above expression.

Thus, we get;

$\frac{x^{2} -3^2}{x^{2} -2^2}$

Simplifying the terms, we get;

$\frac{x^{2}-9}{x^{2}-4}$

Thus, the product of the rational expression is $\frac{x^{2}-9}{x^{2}-4}$

Hence, Option C is the correct answer.

6 0

3 years ago

Help me guys! 50 points!

timama [110]

Answer:

The volume of the irregular figure would be 144 $cm^3$ .

Step-by-step explanation:

If you wish to make the process of calculating the volume easier, you can picture the irregular figure as two rectangular prisms: the large one on the bottom, and the smaller one appearing to protrude from the prism below it. Using this method, you only need to find the volumes of the two rectangular prisms and add the values together to get the volume for the irregular figure. The formula used to find the volume of a rectangular prism is $l*w*h$ , where $l$ , $w$ , and $h$ , represents the length, width, and height of the rectangular prism respectively. Using the formula above, the volume of the larger rectangular prism would be 12 * 3 * 3 = 12 * 9 = 108 $cm^3$ , and the volume of the smaller rectangular prism would be 4 * 3 * 3 = 12 * 3 = 36 $cm^3$ . So the volume of the entire irregular figure would be 108 + 36 = 144 $cm^3$ .