<h3>Given</h3>
–5x3y3 + 8x4y2 – xy5 – 2x2y4 + 8x6 + 3x2y4 – 6xy5
<h3>Find</h3>
Which of the following represents the expression written in standard form:
–7xy5 + 5x2y4 – 5x3y3 + 8x4y2 + 8x6
5xy5 + 8x4y2 + x2y4 – 5x3y3 + 8x6
8x6 + 5xy5 + 8x4y2 + x2y4 – 5x3y3
8x6 + 8x4y2 – 5x3y3 + x2y4 – 7xy5
<h3>Solution</h3>
The variables are x and y. All terms have degree 6, so we can choose to write them in order of decreasing powers of x or of decreasing powers of y.
The terms tha can be combined are those involving xy⁵ and x²y⁴. Combining those terms, we have xy⁵(-1-6) = -7xy⁵, and x²y⁴(-2+3) = x²y⁴.
The first offered choice has the powers of y in decreasing order, but it has an incorrect coefficient for x²y⁴. The second and third offered choices have no consistent ordering of powers.
The best choice is the last one:
... 8x⁶ +8x⁴y² -5x³y³ +x²y⁴ -7xy⁵
Answer: and
Step-by-step explanation:
The area of a rectangle is obtained by multiplying its lenght by its width.
You know that the area of this rectangle is , then you need to apply the Difference of squares to find the dimensions of this rectangle.
Remember that the Difference of squares is:
Then, applying this, you get:
Therefore, now you know that the dimensions are:
and
Hello!
You find the volume of a rectangular prism if the length is x, the width is x2, and the height is 5x2 + 4x + 1. Use the formula
<span>V = l ⋅ w ⋅ h, where l is length, w is width, and h is height, to find the volume.
</span>
Solution:
So in this Case, we can see that the Length = x, Width = x², and Height = 5x2 + 4x + 1. Remember: (V = l . w . h)<span>
Use the formula:</span>
<span>V = l ⋅ w ⋅ h,=x×x²×(5x²+4x+1)
</span>
<span>=x³×(5x²+4x+1)
</span>
=5x^5+4x^4+x³
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Answer: X = y - yi - 7i
Y = (x + 7i)/(1 - i)
Step-by-step explanation: for the case of (X) you only need to pass the 7i to the other side with the subtraction sign (-7i), then we get this equation:
x + 7i = y − yi
X = y - yi - 7i
in the case of the (Y), first we select the common multiple.
y - yi = y(1 - i)
if we replace it in the original expression, we get the following equation:
x + 7i = y(1 - i)
after that you can pass the value (1 - i) to the other side dividing,
Y = (x + 7i)/(1 - i)