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TEA [102]
3 years ago
7

Sydney drew segment AC and segment BC to help her use the Pythagorean theorem

Mathematics
1 answer:
kenny6666 [7]3 years ago
4 0

Answer: B

Step-by-step explanation:

The question is asking for you to use the Pythagorean Theorem in order to find the length or line AB.

a^2+b^2=c^2

Since AB is what we are trying to find in this situation it is c. The graphic shown tells us that the length of line CA= (y2-y1) and CB= (x2-x1), these numbers represent a and b in the expression shown above. From here you should implement the information into the equation.

(x^2-x^1)^2+(y2-y1)^2= AB

The next step in finding the product would be to square both sides of the equation. In this case we only need to square the side with the calculation because the variable AB already represents the answer you would calculate. Which leaves us with the answer shown in the image below.

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Nitella [24]

Answer:

b

Step-by-step explanation:

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Round 24,347 to the nearest thousand.
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24000

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(2x - 3y)(4x - y) can you help me
Mnenie [13.5K]

Answer:

<h2>(2x - 3y)(4x - y) = 8x² - 14xy + 3y²</h2>

Step-by-step explanation:

Use FOIL:  <em>(a + b)(c + d) = ac + ad + bc + bd</em>

(2x - 3y)(4x - y) = (2x)(4x) + (2x)(-y) + (-3y)(4x) + (-3y)(-y)

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<em>combine like terms</em>

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3 years ago
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4x + 3(4x + 7) = 4(7x + 3)​
Natasha2012 [34]

Answer: 1

Step-by-step explanation:4x + 3(4x + 7) = 4(7x + 3) + -3

Reorder the terms:

4x + 3(7 + 4x) = 4(7x + 3) + -3

4x + (7 * 3 + 4x * 3) = 4(7x + 3) + -3

4x + (21 + 12x) = 4(7x + 3) + -3

Reorder the terms:

21 + 4x + 12x = 4(7x + 3) + -3

Combine like terms: 4x + 12x = 16x

21 + 16x = 4(7x + 3) + -3

Reorder the terms:

21 + 16x = 4(3 + 7x) + -3

21 + 16x = (3 * 4 + 7x * 4) + -3

21 + 16x = (12 + 28x) + -3

Reorder the terms:

21 + 16x = 12 + -3 + 28x

Combine like terms: 12 + -3 = 9

21 + 16x = 9 + 28x

Solving

21 + 16x = 9 + 28x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-28x' to each side of the equation.

21 + 16x + -28x = 9 + 28x + -28x

Combine like terms: 16x + -28x = -12x

21 + -12x = 9 + 28x + -28x

Combine like terms: 28x + -28x = 0

21 + -12x = 9 + 0

21 + -12x = 9

Add '-21' to each side of the equation.

21 + -21 + -12x = 9 + -21

Combine like terms: 21 + -21 = 0

0 + -12x = 9 + -21

-12x = 9 + -21

Combine like terms: 9 + -21 = -12

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Divide each side by -12.

x = 1

Simplifying

x = 1

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