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3 years ago

Order the polynomial -x4 y2 + 7x3 y3 -3xy5 + 2x2 y4 in descending powers of x answer

Mathematics

1 answer:

Ilya [14]3 years ago

6 0

Answer:

Step-by-step explanation:

Answer is $-x^4 y^2 + 7x^3 y^3 + 2x^2 y^4 -3xy^5$

Explanation:

When we are asked to arrange the polynomial in descending order of the powers, also if there is more than one variable, then we need to add all the powers of the variables and then arrange them.

So here in the question, we have to arrange in descending order for the powers of variable x, so we will take the highest order of x first and then arrange in the descending order, as follows:

$-x^4 y^2 + 7x^3 y^3 + 2x^2 y^4 -3xy^5$

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2 years ago

6. A certain $400 investment is increasing 10%

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2 years ago

What is the quotient of 4 1/4 / 2 1/5

Snezhnost [94]

The quotient for the given mixed fraction is 1.9318

Step-by-step explanation:

Step 1; First we must convert the mixed fractions into improper fractions. To do that the whole number is multiplied with the denominator and add with it the numerator while the denominator does not change. To convert this fraction $4\frac{1}{4}$ we multiply 4 with 4 and then add 1 and keep the 4 as the fraction's denominator so we get $\frac{17}{4}$ . Similarly, we get the improper fraction $\frac{11}{5}$ for converting the mixed fraction $2\frac{1}{5}$ .

Step 2; After conversion, it's just a matter of division. The fraction $\frac{17}{4}$ equals 4.25 while the denominator $\frac{11}{5}$ equals 2.2. Dividing 4.25 by 2.2 we get 1.9318.

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3 years ago

given the diagram below, explain how you would determine the opposite, adjacent, and hypotenuse side from the given 35° angle. (

taurus [48]

Answer:

opposite=8.402402490459 ,adjacent is already given=12, hypotenuse=14.64929507

Step-by-step explanation:

to do this you will have to use the law of sines. the first thing you need to do is solve for the unknown angle by subtracting 90+35 from 180. so you get the equation 180-(90+35)=55. now that you know all your angles, you can use the law of sines to solve for the unknown sides. the law of sines state that a/sin(A)=b/sin(B). if you substitute the values of 12 and 55 into the equation, since you know those sides, you can then find a ration that you can use to find the other sides, 12/sin(55)=b/sin(B), which is equal to, 14.649... Next you pick whichever side you want to solve for next, and plug in its opposite angle (i would solve for the other leg, because then you can use pythagorean theorem to solve for the hypotenuse, so i will demonstrate that way) plug in the angle 35, since it is opposite the leg and then finish for the variable, 14.649...=b/sin(35). once you have the sin, you can multiply it by the 14.649 to get your side, 14.649...*.5736...=8.402...=b. now you have your two legs, so you can use a^2+b^2=c^2 to solve for the hypotenuse. once you plug in your values it should look like this, 12^2+8.402...^2=c^2. which simplifies down to 214.602...=c^2. so you take the square root of both sides to find c, which equals 14.649. you can check that by seeing if 14.649 is bigger then the other two sides, which it is. This number should look familiar because it was the ratio we got when we divided 12 by the sin(55). the reason that happened is because the sin(90) is 1, the 14.649*1=14.649.

If you have any questions, leave them in the comments and will try to answer them, if this helped, pls give brainliest.

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2 years ago