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yKpoI14uk [10]
3 years ago
12

What is the product? (-2x- 9y2 )(-4x-3)

Mathematics
1 answer:
lara [203]3 years ago
4 0

Answer:

36xy^2 + 8x^2 + 27y^2 + 6x

Step-by-step explanation:

Use the FOIL method of multiplying binomials.

First term in each binomial: -2x * -4x = 8x^2

Outside terms: -2x * -3 = 6x

Inside terms: -9y^2 * -4x = 36xy^2

Last term in each binomial: -9y^2 * -3 = 27y^2

Now, rearrange the terms correctly. 36xy^2 + 8x^2 + 27y^2 + 6x

This is our final answer, since it can not be simplified any more.

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7 0
4 years ago
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Fine the exact distance between the line 6x-y=-3 and the point (6,2). Show your work. Explain your answer.
AVprozaik [17]

Answer:

\sqrt{37} units

Step-by-step explanation:

If we draw a perpendicular from point (6,2) on the line 6x - y = - 3, then we have to find the length of the perpendicular.  

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\frac{|6(6)-2+3|}{\sqrt{6^{2} +(-1)^{2} } } = \frac{37}{\sqrt{37} } = \sqrt{37}  units. (Answer)

6 0
4 years ago
A line passes through the point (4, -6) and has a slope of 3/2 . Write an equation in slope-intercept form for this line.
tatyana61 [14]

A slope intercept form: y = mx + b where m = slope and b = y -intercept

A slope of 3/2 is given

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To find b:

b = y - mx

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b = -6 - (3/2)(4)

b = -6 - 6

b = - 12

Answer

Equation in  slope intercept form:  y = 3/2 x - 12


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3 years ago
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3 years ago
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Naddika [18.5K]

Answer:

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Step-by-step explanation:

5 0
3 years ago
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