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Elza [17]
3 years ago
12

Carl can type 180 words in 2 minutes. How many words per minute can Carl type?

Mathematics
1 answer:
horsena [70]3 years ago
3 0

Answer:

90

Step-by-step explanation:

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The hypotenuseb of the triangle is 17.

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Plot the points a (-2,-3), b (-3,0), c (3,2), and d (4,-1). What type of quadrilateral is ABCD? Justify your answer using slope
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3 years ago
Select the correct answer.
Svetlanka [38]

Answer:

<h3>\boxed{ \boxed{ \bold{ {x}^{2}  + 4x - 21}}}</h3>

Step-by-step explanation:

\sf{(x - 3)(x + 7)}

Use the distributive property to multiply each term of the first binomial by each term of the second binomial.

⇒\sf{x(x  + 7) - 3(x + 7)}

⇒\sf{ {x}^{2}  + 7x - 3x  - 21}

Collect like terms

⇒\sf{ {x}^{2}  + 4x - 21}

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4 years ago
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What is the justification for each step in the solution of the equation?
Alexandra [31]

For this case we have the following equation:

\frac{2}{3}x-\frac{1}{3}= 2 (x + 2)\\

If we multiply both sides of the equation by 3 we get:

2x-1 = 6 (x + 2) ---> Multiplication Property of Equality

Applying the distributive property we have:

2x-1 = 6x + 12 ---> Distributive Property

Adding 1 on both sides of equality we have:

2x-1 + 1 = 6x + 12 + 1\\

2x = 6x + 13 ---> Addition Property of Equality

Subtracting 6x on both sides we have:

-6x + 2x = 6x-6x + 13\\

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Finally, dividing by -4 on both sides we have:

\frac{-4x}{-4}= \frac{13}{-4}\\

x = -\frac{13}{4}---> Division Property of Equality


5 0
3 years ago
Read 2 more answers
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