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alexira [117]
4 years ago
12

Use the Binomial Theorem to expand each binomial (5x-4y)^3

Mathematics
1 answer:
jek_recluse [69]4 years ago
5 0
You should know that:

(a+b)(a+b)(a+b)

=a(a+b)(a+b)+b(a+b)(a+b)

=a(a²+2ab+b²)+b(a²+2ab+b²)

=a³+2a²b+ab²+a²b+2ab²+b³

=a³+3a²b+3ab²+b³

-----------------

If a=5x and b=-4y

(5x+(-4y))³

=(5x-4y)³

=(5x)³+3(5x)²(-4y)+3(5x)(-4y)²+(-4y)³

=125x³+3(25x²)(-4y)+15x(16y²)-64y³

=125x³+75x²(-4y)+240xy²-64y³

=125x³-300x²y+240xy²-64y³
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Find the coordinates of the midpoint of a segment with the given endpoints. A(-12,2), C(-3,5)
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The coordinates of the midpoint of a segment with the given endpoints will be (-7.5, 3.5).

<h3>What is the mid-point of the line segment?</h3>

Let AB be the line segment and C be the mid-point of line segment AB. Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).

Then the coordinate of the mid-point of the line segment is given as,

(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]

The endpoints are A(-12, 2) and C(-3,5).

Then the coordinates of the midpoint of a segment with the given endpoints will be

(x, y) = [(- 12 - 3) / 2, (2 + 5) / 2]

(x, y) = (-15/2, 7/2)

(x, y) = (-7.5, 3.5)

The coordinates of the midpoint of a segment with the given endpoints will be (-7.5, 3.5).

More about the mid-point of the line segment link is given below.

brainly.com/question/17188072

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4 0
1 year ago
A stick is x meters long. a string is 4 times as long as the stick.
nalin [4]

Answer:

Step-by-step explanation:

Length of stick = x meters

Length of string = 4 * length of stick

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4 0
3 years ago
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Please help me with this one ☝️
shepuryov [24]

Answer:

ithink it should be c

Step-by-step explanation:

5 0
3 years ago
5. Identify the type of function and the degree of the function: f(x)=6x +3x² -11
uranmaximum [27]

Answer:

B. Quadratic, degree 2

Step-by-step explanation:

ALl you have to see is the degree. The degree is the largest exponent of the expression. The largest exponent here is 2 and since there is only one answer with a degree of two, the answer is b.

8 0
2 years ago
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I need help with this
irina [24]

Answer:

$11.19

Step-by-step explanation:

A= p(1+r/100)^n

24(1+(3.9/100))^10

=$35.19

Total =$35.19-$24=$11.19

4 0
2 years ago
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