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1 year ago

What is the following expression mulituply out (5x-6y)(5x-6y)

Mathematics

1 answer:

Anna007 [38]1 year ago

8 0

Answer:

25x^2 - 60xy + 36y^2

Step-by-step explanation:

(5x - 6y) ( 5x - 6y)

Use foil to get the result when this is expanded.

F: (first term in each factor): 5x*5x = 25x^2

I: Use the last term first factor multiplied by first term second factor

- 6y * 5x = - 30xy

O:Outside. Use first term first factor and last term second factor

5x * -6y = - 30xy

L: last term in both factors -6y * - 6y = 36y^2

All them together

25x^2 - 30xy - 30xy + 36y^2

and combine

25x^2 - 60xy + 36y^2

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2 years ago

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Ierofanga [76]

Answer:

The lines blue and green are perpendicular

Step-by-step explanation:

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is -1)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope of the blue line

we have the points

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substitute

$m=\frac{3+3}{0+1}$

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step 2

Find the slope of the red line

we have the points

(3,-3) and (4,2)

substitute

$m=\frac{2+3}{4-3}$

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step 3

Find the slope of the green line

we have the points

(-4,-1) and (2,-2)

substitute

$m=\frac{-2+1}{2+4}$

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step 4

Compare the slopes

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Red line ----. $m=5$

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2 years ago

Choose the fraction that is greater than 3/18٫is less than 50/100٫and has 9 as its denominator

erik [133]

Answer:

4/9

Step-by-step explanation:

The denominator is the bottom value of a fraction, therefore we can discount 9/2

1/9 = 2/18. 2/18 is smaller than 3/18 so we can discount 1/9

50/100 = 0.5
5/9 = 0.55555...
0.55555... is greatest than 0.5, therefore we can discount 5/9

Answer is 4/9

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1 year ago