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Rufina [12.5K]
3 years ago
8

Multiply the trinomial x^2+xy+y^2 times the binomial x-y and simplify.

Mathematics
1 answer:
Natalija [7]3 years ago
6 0
Multiply then simplify, that's doing the same work twice...anyway

x^3+x^2y+xy^2-x^2y-xy^2-y^3

x^3-y^3  which if factored is:

(x-y)(x^2+xy+y^2)  which is what you started with :)
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Find the equation of a parallel to y+2=-1/2x that passes through the point (-2,2)
FromTheMoon [43]

Answer:

y = - 1/2x + 1

Step-by-step explanation:

y+2= - 1/2x

Slope = -1/2

Point: (-2,2)

y-Intercept: 2 - (-1/2)(-2) = 2 - 1 = 1

4 0
2 years ago
Write the equation of a line perpendicular to 9xplus7yequals6 that passes through the point ​(9​,negative 7​).
andrew11 [14]

k:\ y=m_1x+b_1\\\\l:\ y=m_2x+b_2\\\\k\ ||\ l\iff m_1=m_2\\\\k\ \perp\ l\iff m_1m_2=-1

We have:

k:\ 9x+7y=6\ \ \ |-9x\\\\7y=-9x+6\ \ \ \ |:7\\\\y=-\dfrac{9}{7}x+\dfrac{6}{9}\to m_1=-\dfrac{9}{7}\\\\l:\ y=m_2x+b\\\\l\ \perp\ k\iff-\dfrac{9}{7}m_2=-1\ \ \ \ |\cdot\left(-\dfrac{7}{9}\right)\\\\m_2=\dfrac{7}{9}\to\ l:\ y=\dfrac{7}{9}x+b

We know. The line <em>l</em> passes throught the point (9, -7). Substitute the coordinates of the poin to the equation of line<em> l </em>:

-7=\dfrac{7}{9}\cdot9+b\\\\-7=7+b\ \ \ \ |-7\\\\b=-14

y=\dfrac{7}{9}x-14\ \ \ \ |\cdot9\\\\9y=7x-126\ \ \ \ |-9y\ |+126\\\\7x-9y=126

Answer: y=\dfrac{7}{9}x-14\to7x-9y=126


7 0
3 years ago
If f(x) = 3x + 2 and g(x) = x^2 + 1, which expression is equivalent to (g(f(x))?
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<span>Whenever we are given one function and must calculate a funciton of the funciton, such as g(f(x)) in this case, we simply substitute the second function, f(x) in this case, in the first function, g(x) in this case, wherever the first function has a variable. Therefore, g(f(x)) = (3x + 2)^2 + 1 g(f(x)) = 9x^2 + 12x + 4 + 1 g(f(x)) = 9x^2 + 12x + 5</span>
7 0
3 years ago
100 POINTS! I REPEAT 100 POINTS! PLEASE HELP!
AURORKA [14]
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I put in my calculator, (40+4/5)x(50+7/8) and this gave me the answer of 2075.7.
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2075.7/300 = 6.919, so for the lowest setting, he needs 7 bags of seed.

This should be correct.

Hope this helps :)
6 0
3 years ago
Over the weekend , Rachel and Morgan drove to Chicago to go shopping . Now theyre preparing to go home . Morgan needs gas for he
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8 0
3 years ago
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