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julia-pushkina [17]
2 years ago
13

Which polynomial is in standard form? 2xy^3 +3x^3 y^4 -4x^4 y^5 +9x^5 y^6 Which polynomial is in standard form?

Mathematics
1 answer:
andrezito [222]2 years ago
5 0

Answer:

(D) 5x^7y^2+7x^6y^5-14x^3y^7+51x^2y^9

Step-by-step explanation:

A polynomial is said to be in standard form when it is arranged in descending powers of x.

When there are more than one variable, the alphabetical order is followed. For example, if there are variables x and y in the polynomial, x must be in descending order and y will be in ascending order.

From the given options, the polynomial which is in standard form is:

5x^7y^2+7x^6y^5-14x^3y^7+51x^2y^9

The correct option is D.

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Evaluate A2 for A = -4
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WORTH 20 POINTS HELP
vfiekz [6]

Below represents the proof that the quadrilateral QRST is a parallelogram

<h3>How to prove that QRST is a parallelogram?</h3>

The coordinates are given as:

Q = (-1,-1)

R = (2,9)

S = (-4,5)

T = (-7,-5)

Calculate the length of each side using:

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

So, we have:

QR = \sqrt{(-1 - 2)^2 + (-1 -9)^2} = \sqrt{109}

RS = \sqrt{(-4 - 2)^2 + (5 - 9)^2} = \sqrt{52}

ST = \sqrt{(-7 + 4)^2 + (-5 - 5)^2} = \sqrt{109}

TQ = \sqrt{(-7 + 1)^2 + (-5 + 1)^2} = \sqrt{52}

The above computations show that opposite sides are equal.

Next, we determine the slope of each side using:

m = \frac{y_2 -y_1}{x_2 -x_1}

So, we have:

QR = \frac{9 + 1}{2 + 3} = \frac{10}3

RS = \frac{5-9}{-4 - 2} = \frac{2}3

ST = \frac{5+5}{-4 + 7} = \frac{10}3

TQ = \frac{-5+1}{-7 + 1} = \frac{2}3

The above computations show that opposite sides are parallel, because they have equal slope

Hence, the quadrilateral QRST is a parallelogram

Read more about parallelograms at:

brainly.com/question/3050890

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6 0
2 years ago
How do you do 1/4 (16x+20)-7x
Ira Lisetskai [31]
Distribute the 1/4:
1/4(16x) + 1/4(20) - 7x

Do the multiplication:
1/4(16x) = 16x/4 = 4x
1/4 (20) = 20/4 = 5

Now you have:
4x + 5 - 7x = 0

Combine like terms (4x and -7x):
-3x + 5 = 0

Subtract 5 from both sides:
-3x = -5

Divide by -3:
x = -5/-3 = 5/3

Answer:
x= 5/3
6 0
3 years ago
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