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3 years ago

Help 15 points

Mathematics

2 answers:

MAVERICK [17]3 years ago

6 0

Answer:

36 g^2 + -60 g h + 25 h^2 thus: B

Step-by-step explanation:

Expand the following:

(6 g - 5 h)^2

(6 g - 5 h) (6 g - 5 h) = (6 g) (6 g) + (6 g) (-5 h) + (-5 h) (6 g) + (-5 h) (-5 h):

6×6 g g - 5×6 g h - 5×6 h g - 5 (-5) h h

6 g×6 g = 6×6 g^2:

6×6 g^2 - 5×6 g h - 5×6 h g - 5 (-5) h h

6×6 = 36:

36 g^2 - 5×6 g h - 5×6 h g - 5 (-5) h h

6 (-5) = -30:

36 g^2 + -30 g h - 5×6 h g - 5 (-5) h h

-5×6 = -30:

36 g^2 - 30 g h + -30 h g - 5 (-5) h h

-5 h (-5) h = -5 (-5) h^2:

36 g^2 - 30 g h - 30 h g + -5 (-5) h^2

-5 (-5) = 25:

36 g^2 - 30 g h - 30 h g + 25 h^2

g h (-30) + h g (-30) = -60 g h:

Answer: 36 g^2 + -60 g h + 25 h^2

telo118 [61]3 years ago

6 0

Answer:(b). 36g2-60gh+25h2

Step-by-step explanation:

(6g-5h)2

=(6g-5h)(6g-5h)

=36g2-30gh-30gh+25h2

=36g2-60gh+25h2

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The polynomial p(x)=x^3-7x-6 has a non-factor of (x+1) rewrite p(x) as a product of linear factors.

In-s [12.5K]

Answer:

Using synthetic division suffices to answer your question:

Step-by-step explanation:

Synthetic division is the process by one reduces a large polynomial in your case $x^3-7x-6$ by a binomial in your case $(x+1)$ .

To do so one does the following:

$\begin{array}{cccccc}-1|& 1&0&-7&-6\\ & &-1&1&6 \\& 1&-1&-6&0 \end{array}$

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$(x^2-x-6)$

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3 years ago

What 3 consecutive even numbers added together equal 42?Use the equation n+(n+2)+(n+4)

Neporo4naja [7]

Let us assume the first even number = n
The second consecutive even number = n + 2
The third consecutive even number = n + 4
The addition of the three consecutive even numbers is 42 and it is already given in the question. Based on the information's given in the question, the answer can be easily deduced.
Then, the equation can be written as
n + (n + 2) + (n + 4) = 42
3n + 6 = 42
3n = 42 - 6
3n = 36
n = 36/3
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So
The first even number = 12
The second consecutive even number = n + 2
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The third consecutive even number = n + 4
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So the three consecutive even numbers are 12, 14, 16.

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3 years ago

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olga_2 [115]

Answer:

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Step-by-step explanation:

the equation can be simplified to y = -2x - 7

the last number of the equation represents the y-intersept

hope this helped!

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3 years ago