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MArishka [77]
3 years ago
13

I need help asap!!!! Please It’s an Algebra 2 question

Mathematics
1 answer:
Elza [17]3 years ago
7 0

Answer:

8) Real; Rational

9) Real; Rational; Integer; Whole; Natural

10) Real; Rational

Step-by-step explanation:

Real numbers consists of the subsets:

Irrational Numbers:

Irrational numbers is the subset complementary to rational numbers. It includes numbers such as √(2) or π. These numbers do not repeat nor terminate.

Rational Numbers:

Rational numbers are all the others. They include the integers as well as the repeating and terminating decimals.

Integers:

Integers include the entire set of whole numbers and the negative numbers. This subset does not include decimals nor fractions. Thus, the integers are: ...-3, -2, -1, 0, 1, 2, 3... etc.

Whole Numbers:

Whole numbers is the set of natural numbers that <em>includes</em> 0. So, whole numbers are: 0, 1, 2, 3... and so on.

Natural Numbers:

Natural numbers or the counting numbers are all the positive, non-decimal numbers. These are 1, 2, 3... and so on. This set does not include 0.

8) 1.\overline{3}=1.3333...

The given number is not natural, whole, nor an integer because it is a decimal. It repeats, so it belongs to the rational numbers subset.

9) \sqrt4=2

The square root of 4 is simply 2. 2 is a natural number. Because of this, this means that 2 is also a whole number, integer, and a rational number.

10)-3/4=-0.75

The given number is a fraction and it does not reduce to a whole number, so it's not a natural number, whole number, nor an integer. It does terminate, so it belongs to the rational numbers subset.

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What is the equation of the line that is perpendicular to the given line and has an x-intercept of -3?
Anvisha [2.4K]

Answer:

y=-\frac{3}{2}x-\frac{9}{2}

Step-by-step explanation:

Let the equation of the perpendicular line is,

y = mx + b

where m = slope of the line

b = y-intercept

From the graph, slope of the line passing through (0, -1) and (3, 1),

m' = \frac{y_2-y_1}{x_2-x_1}

m' = \frac{1+1}{3-0}

m' = \frac{2}{3}

To get the slope (m) of this line we will use the property of perpendicular lines,

m × m' = (-1)

m × \frac{2}{3} = -1

m = -\frac{3}{2}

Equation of the perpendicular line will be,

y=-\frac{3}{2}x+b

x-intercept of the line is (-3) therefore, point on the line is (-3, 0)

0 = -\frac{3}{2}(-3)+b

b = -\frac{9}{2}=-4.5

Equation of the line will be,

y=-\frac{3}{2}x-\frac{9}{2}

3 0
3 years ago
How do I simplify this?
Anastasy [175]
3/4 + 1 = 1.75 which is equivalent to 7/4
1- 3/4 = 0.25 which is equivalent to 1/4
the problem now looks like 7/4 / 1/4
you cancel out both 4
this problem simplified looks like 7/1
which is equivalent to 7 if you divide
6 0
1 year ago
How do I solve N(1/5) = 2/15
dem82 [27]
N(1/5) = (2/15)
divide both sides by (1/5)
n = (2/15)/(1/5)
to divide fractions, cross multiply, e.g. (2*5)/(15*1) = 10/15
n = 10/15 = 2/3 or 0.666666.
8 0
3 years ago
Read 2 more answers
Is 6x and 4x+2 equivalent
Eduardwww [97]

Answer:

Is 6x and 4x+2 equivalent

? No!

Step-by-step explanation:

6x doesn't equal 4x+2

In order for them to be the same you would have to add the same terms example:

4x+2x would equal 6x

Extra explaining:

The only way for those term to be added would be if they had the same variable since only 4x has a variable the 2 cant be added. In math you CANNOT move your variables off of a number and add them back on after.

3 0
3 years ago
Write the equation of a line that is parallel to y = 7x +13 that passes through the point (28, 8).
navik [9.2K]

Answer:

y=7x-188

Step-by-step explanation:

We know that this line must have a slope of 7, because this line is parallel to y=7x+13

We must use the point slope formula: y-y_{1}= m(x-x_{1})

Next, we will plug in the point (28,8) for y_{1} and x_{1}, and 7 in for m

y-8=7(x-28)

Solve the equation, first by distributing the 7

y-8=7x-196

Add the 8 over

y=7x-188

7 0
3 years ago
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