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krok68 [10]
3 years ago
5

The number 0.35 is a(n) __________ number because __________.

Mathematics
2 answers:
worty [1.4K]3 years ago
8 0
Rational number because /An irrational number has endless non-repeating digits to the right of the decimal point.
nordsb [41]3 years ago
8 0

Answer:

The number 0.35 is a <u>rational</u> number because <u>it can be written as a fraction</u>.

Step-by-step explanation:

We have been given an incomplete sentence. We are supposed to complete our given sentence.

Sentence:

The number 0.35 is a(n) __________ number because __________.

We know that 0.35 is a rational number as we can represent it as a fraction.

Since 0.35 has two digits after decimal, so we will multiply and divide 0.35 by 100 as:

0.35\times \frac{100}{100}=\frac{3.5\times 100}{100}=\frac{35}{100}=\frac{5*7}{5*20}=\frac{7}{20}.

Therefore, the correct word for 1st blank is 'rational' and correct expression for 2nd blank is 'it can be written as a fraction \frac{7}{20}.

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8) through: (-3, -2), perp. to y = x – 1<br> A) y=-5x – 1 B) y=-4x – 5<br> C) y=-x – 5 D) y=-5x – 4
nexus9112 [7]

<u>Answer:</u>

The equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.

<u>Solution:</u>

Given, line equation is y = x – 1 ⇒ x – y – 1 = 0. And a point is (-3, -2)

We have to find the line equation which is perpendicular to above given line and passing through the given point.

Now, let us find the slope of the given line equation.

\text { Slope }=\frac{-x \text { coefficient }}{y \text { coefficient }}=\frac{-1}{-1}=1

We know that, <em>product of slopes of perpendicular lines is -1. </em>

So, 1 \times slope of perpendicular line =  -1

slope of perpendicular line = -1

Now let us write point slope form for our required line.

\mathrm{y}-\mathrm{y}_{1}=\mathrm{m}\left(\mathrm{x}-\mathrm{x}_{1}\right)

y – (-2) = -1(x – (-3))

y + 2 = -1(x + 3)

y + 2 = -x – 3

x + y + 2 + 3 = 0

x + y + 5 = 0

y = -x -5

Hence the equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.

8 0
3 years ago
In the school cafeteria there are 20 seats at each table.
Mrac [35]

Answer:

12.5

Step-by-step explanation:

you can solve this by dividing 250/20=12.5

8 0
3 years ago
Who is the president of USA
den301095 [7]

Answer:

Donald Trump is the unfortunately current president of the united states.

if this is an actual question, you should have put it in the history category instead.

3 0
3 years ago
Read 2 more answers
Dominic invested $520 in an account in the year 1995, and the value has been growing exponentially at a constant rate. The value
Tom [10]

Answer:

I believe the answer is $936.64

Step-by-step explanation:

I hope this helps!

6 0
3 years ago
What is the slope of this line
Troyanec [42]
The slope of this line is m=0









4 0
3 years ago
Read 2 more answers
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