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evablogger [386]
2 years ago
6

Are these equations of lines parallel: Y=3X+4 and Y+3 = -3(-X+2) NO YES

Mathematics
2 answers:
koban [17]2 years ago
5 0
They are indeed parallel! So (YES)

~Have a lovely day and don’t forget to wash your hands!~
Rzqust [24]2 years ago
3 0

Answer:

yes

Step-by-step explanation:

Change the second equation into slope-intercept form: y+3=-3(-x+2)

Distribute the -3: y+3=3x-6

Isolate the y: y=3x-6-3

Simplify: y=3x-9

Since they have the same slope, they are parallel

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16.3<br> Find the equivalent mixed number
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Answer:

16.3 = 16 \frac{3}{10}

Step-by-step explanation:

0.1 is equivalent to 1/10 or one tenth so 0.3 = 3/10

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The Ragnier's purchased a house for $357,000. They sold their home for $475,000. What was the percent increase?
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2 years ago
What is the approximate circumference of the circle shown below?
Crank

Answer

Formula

Circumference\ of\ circle = 2\pi r

where r is the radius of a circle.

As shown in the image

Diameter of the circle = 16 .3 cm

Radius\ of\ the\ circle = \frac{16.3}{2}

                                   = 8.15 cm

Put in the formula

Circumference\ of\ circle = 2\pi\times 8.15

As

\pi = 3.14

Circumference\ of\ circle = 2\times 3.14\times 8.15

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Therefore the circumference of a circle is 51.2cm (approx) .

Option (D) is correct .

8 0
3 years ago
Read 2 more answers
12, 9, 15, 19, 20, 15<br><br> Mean <br><br> Median <br><br> Mode
Ede4ka [16]

Answer:

Mean: 15

Median:  15

Mode:  15

Step-by-step explanation:

<h2>Definitions:</h2>

<u>Mean</u>: It represents the average value of a given data set. The formula for finding the mean of a given set of numbers by taking the quotient of all numbers and the number of values. In other words:

\displaystyle\mathsf{Mean\:=\:\frac{Sum\:of \:all\: values}{Number\:of\:values \:in\: a \:given \:data\:set}}

<u>Median:</u> It represents the middle value in a given set of numbers. In order to determine the median, it is essential to arrange the given data either in <em>ascending</em> or <em>descending</em> order (although it is customary to arrange the numbers into ascending order).

  • If there is an odd number of values in a given set, then the <u>middle number</u> is the median of that set.
  • If a given list comprises of an even number of items, then we must take the <em>average</em> of the two middle numbers.

<u>Mode</u>: It represents the number that <u>occurs most often</u> on a list of items or data.

<h2>Solution:</h2><h3><u>Find the Mean:</u></h3>

Using the formula provided in the previous section for finding the mean:

\displaystyle\mathsf{Mean\:=\:\frac{Sum\:of \:all\: values}{Number\:of\:values \:in\: a \:given \:data\:set}}

\displaystyle\mathsf{Mean\:=\:\frac{12+9+15+19+20+15}{6}\:=\:\frac{90}{6}\:=\:15}

<h3><u>Find the Median:</u></h3>

Arrange the given data set in <u><em>ascending order</em></u>:

12, 9, 15, 19, 20, 15  ⇒  9, 12, <u>15</u>, <u>15</u>, 19, 20

Next, since there is an even number of items on our given data set, we must <u>take the average of the</u><u> two middle numbers</u> (which are 15 and 15):

\displaystyle\mathsf{Median\:=\:\frac{15+15}{2}\:=\:\frac{30}{2}\:=\:15}

Therefore, the median is 15.

<h3><u /></h3><h3><u>Find the Mode:</u></h3>

As described in the previous section of this post, the mode is the number that occurs most often on our given data. The only repeating number on our list is 15, hence it is the mode.

Therefore, the <em>mean</em>, <em>median</em>, and <em>mode</em> of the given data set is <u>15</u>.

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