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Mila [183]
2 years ago
11

Divide 81 -x^2 y^2 by (9-xy) (3 + xy)​

Mathematics
1 answer:
Eva8 [605]2 years ago
8 0

Answer:

When we divide 81 -x²y² by (9-xy) (3 + xy)​, we determine the expression is:

\frac{81-x^2y^2}{\left(9-xy\right)\left(3+xy\right)}=\frac{9+xy}{3+xy}

Step-by-step explanation:

Let us divide 81 -x²y² by (9-xy) (3 + xy)​

so

Given the expression

\frac{81-x^2y^2}{\left(9-xy\right)\left(3+xy\right)}

Factor -x²y² + 81 = (9+xy) (9-xy)

\frac{81-x^2y^2}{\left(9-xy\right)\left(3+xy\right)}=\frac{\left(9+xy\right)\left(9-xy\right)}{\left(9-xy\right)\left(3+xy\right)}

Cancel the common term: 9-xy

                    =\frac{9+xy}{3+xy}

Therefore, when we divide 81 -x²y² by (9-xy) (3 + xy)​, we determine the expression is:

\frac{81-x^2y^2}{\left(9-xy\right)\left(3+xy\right)}=\frac{9+xy}{3+xy}

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Solve the x to the nearest tenth​
Nezavi [6.7K]

Answer:

x=11.2

Step-by-step explanation:

So, to solve for x you have to use pythag Theorem. X is the hypotenuse  

If you separate this shape into two parts, splitting the slant portion and the rectangle part. You will have a right triangle, and then you would find all the legs of the triangle.

The shorter leg, which is on the left side. Since the left side including the slanted part is 13 and we had to split the shape the shorter leg would equal 5

13-8=5.

And since the longer leg has the same length as the rectangle, which is 10. You would take both these numbers.

then, Square them and add them. So, 5x5=25

and 10x10=100

100+25=125 afterwards you find the square root. \sqrt{125}=11.18

7 0
2 years ago
Consider the quadratic function f(x)=x²-5x+12. Which statements are true about the function and its
finlep [7]

There is only one statement that is true: B. The graph of the function is a parabola.

<h3>How to study and interpret the characteristics of quadratic equations</h3>

In this question we have a <em>quadratic</em> equation, whose characteristics have to be inferred and analyzed. We need to prove each of the five choices presented in the statement:

Choice A:

If we know that x = - 10, then we evaluated it at the function:

f(- 10) = (- 10)² - 5 · (- 10) + 12

f(- 10) = 162

False

Choice B:

By analytical geometry we know that all functions of the form y = a · x² + b · x + c always represent parabolae.

True

Choice C:

The <em>quadratic</em> function opens up as its <em>leading</em> coefficient is greater that 0.

False

Choice D:

If we know that x = 20, then we evaluate it at the function:

f(20) = 20² - 5 · (20) + 12

f(20) = 312

False

Choice E:

If we know that x = 0, then we evaluate it at the function:

f(0) = 0² - 5 · (0) + 12

f(0) = 12

There is only one statement that is true: B. The graph of the function is a parabola.

To learn more on quadratic equations: brainly.com/question/1863222

#SPJ1

7 0
1 year ago
3√75<br> simplest rationalizing factor <br> PLEASE DO ANSWER ONLY IF YOU KNOW IT
rjkz [21]

Answer:

the square root of 75 is 8.6

and 8.6 times 3 is

the answer is 25.8

Hope This Helps!!!

4 0
2 years ago
Quiz due today! Please help me. No links! 10 points
REY [17]

Answer: you have to use d=rt to figure it out. that is distance equals to rate times time

Step-by-step explanation:

hope that helps

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2 years ago
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Which of the following (-1,8) and (5,-2) are the distance of the line segment
olganol [36]

The formula of a distance between two points:

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

We have the points (-1, 8) and (5, -2). Substitute:

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8 0
3 years ago
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