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3 years ago

Determine if the two lines y = 2x - 3/2 and y = -2x + 2/3 are parallel, perpendicular or neither. Explain

Mathematics

1 answer:

lorasvet [3.4K]3 years ago

4 0

Answer:

Neither

Step-by-step explanation:

For two lines to be parallel, they must have the same slope. 2 and -2 are not the same. For lines to be perpendicular, their slopes must be negative reciprocals (ex 5 and -1/5) The slopes of these lines are not the same or negative reciprocals, so they are not parallel or perpendicular.

Hope this helps :-)

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3 years ago

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Mrs. Jones is building wooden picture frames. She has 1 5/8 of wood and needs 3/4 for each frame. How many frames can she make w

jonny [76]

Answer:

$2\frac{1}{6}\ frames$

Step-by-step explanation:

we know that

To find out how many frames she can make with the exiting material, divide 1 5/8 by 3/4

$1\frac{5}{8}:\frac{3}{4}$

Convert mixed number to an improper fraction

$1\frac{5}{8}=\frac{1*8+5}{8}=\frac{13}{8}$

substitute

$\frac{13}{8}:\frac{3}{4}=\frac{52}{24}\ frames$

Simplify

$\frac{13}{6}\ frames$

Convert to mixed number

$\frac{13}{6}\ frames=\frac{12}{6}+\frac{1}{6}=2\frac{1}{6}\ frames$

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3 years ago

Damon buys lumber worth $562. He gets 20% contractor discount. The sales tax is 6%. his credit card gives him 2% off. How much d

faltersainse [42]

Answer:

$467.05

Step-by-step explanation:

The price is $562

First, 20% off of that:

562 - 20% of 562 = 562 - 0.2(562) = $449.60

Second, he has to pay 6% tax on this amount, so:

6% = 6/100 = 0.06

449.60 + 0.06*449.60 = $476.58

He won't be paying this amount, because paying through credit card will give him 2% discount on this, so:

476.58 - 0.02(476.58) = $467.05

Final Price: $467.05

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4 years ago

Are the following lines parallel, perpendicular, or neither? Explain how you know. 4x = y -7

Ainat [17]

The lines are perpendicular. I used Desmos Graphing Calculate to graph the lines.

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4 years ago

Find the simple interest earned in a savings account that pays 5% interest if $500 is deposited for 4 years. A. $100, B. $1000,

g100num [7]

To calculate simple interest, you first need to multiply the original amount by the percentage of the money which is going to be added.

In this situation, 500 x 0.05 is the interest which will be added each year.
Therefore, $25 will be added each year. Since it is over 4 years, it is (25*4).
So the account will have earned $100 of simple interest.

Although the account will contain $600, it will have EARNED $100 of interest since it started with $500 already.

Answer - A $100 of simple interest will be earned.

3 0

4 years ago