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cluponka [151]
3 years ago
11

Select one of the factors of x^2y^3 - 11x^2y + 6y^2 - 66.

Mathematics
2 answers:
laila [671]3 years ago
7 0
"(x^2y + 6)" is the one among the following choices given in the question that is one <span>of the factors of x^2y^3 - 11x^2y + 6y^2 - 66. The correct option among all the options that are given in the question is the first option or option "A". I hope that this is the answer that has actually come to your desired help.</span>
harkovskaia [24]3 years ago
3 0

The <em><u>correct answer</u></em> is:

A.) (x^2y + 6)  

Explanation:

In order to factor this, we will use factoring by grouping.  To do this, we first break the polynomial into two groups by placing parentheses around the first two terms and around the second two terms:

(x²y³-11x²y)+(6y²-66)

Next, we factor out the GCF of each group.  For the first group, both terms have an x² and a y; there are no numbers in common (other than 1).  Factoring this out,

x²y(y²-11)+(6y²-66)

The GCF of the second group is 6, as both terms are divisible by 6:

x²y(y²-11)+6(y²-11)

We look to the remaining terms in parentheses.  If we have worked correctly, they should be the same.  They are.  This is now the GCF of the polynomial, since it is common to both terms:

(y²-11)(x²y+6)

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For each pair of points below, think about the line that joins them. For which pairs is the line parallel to the y-axis? Circle
zaharov [31]

Answer:

a) Not parallel to y-axis

b) Not parallel to y-axis

c) Parallel to y-axis

Step-by-step explanation:

The best way to check whether a line passing through two points is parlle to y-axis is by plotting them on graph.

The equation of line: (y-y_1) = \frac{y_2 - y_1}{x_2 - x_1}(x-x_1)

a) The line joining the points (4,12) and ( 6,12) is not parallel to y-axis.

It is parallel to x-axis.  Another two points that can lie on this line are : (5,12) and (\frac{9}{2},12).

b) The line joining the points (\frac{3}{5}, \frac{13}{5}), (\frac{1}{5} ,\frac{8}{5}) is not parallel to y-axis.

Equation of line: 5y - 7.5x = 5.5

Another points that could be lie on this line are (0.6,2) and (0.25,1.475)

c) The line joining the points (0.8, 1.9), (0.8,2.3) is parallel to y-axis because points have the same x-coordinate.

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Billy watched the clown car drive up to the circus and saw 14 clowns get out of one little car.The clowns made up 56% of perform
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8 0
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Read 2 more answers
For each value of U, determine whether it is a solution,
abruzzese [7]
Given u/7 - 1 = 7 and plugging in values for u,

For u = 28; 28/7 - 1 = 4 - 1 = 3; No
For u = -49; -49/7 - 1 = -7 - 1 = -8; No
For u = 42; 42/7 - 1 = 6 - 1 = 5; No
For u = 0; 0/7 - 1 = -1; No

Another way to find out which value would be a solution to u/7 - 1 = 7 is to solve for u.

u/7 - 1 = 7
u/7 = 7 + 1
u/7 = 8
u = 8*7
u = 56

The only solution to this equation is when u = 56.
8 0
3 years ago
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