Any real number line ranges from negative infinity to positive infinity. A real number number line consists of all the rational and irrational numbers. Let us take three intervals which contain both the rational and irrational numbers.
First interval: [3,4]
Since every integer is a rational number, 3 and 4 are both rational. In this interval there occurs the value of π (3.14159..) which is an irrational number.
Second interval : [0,2]
0 and 2 are integers and hence are rational. In this interval, occurs √2 (1.41421...) is an irrational number.
Third interval : [2,3]
In this interval, Eulers number 'e' lie whose value is (2.718281.. )
Hence we can conclude that, there occurs an irrational number between any two rational number.
Answer:

Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form:
where m is the slope and b is the y-intercept (the value of y when x is 0) - Parallel lines always have the same slope
<u>1) Determine the slope (m)</u>

In the given equation,
is in the place of m, making it the slope. Because parallel lines have the same slope, the line we're currently solving for therefore has a slope of
. Plug this into
:

<u>2) Determine the y-intercept (b)</u>

Plug in the given point (-6,-29) and solve for b

Simplify -6 and 2

Add 15 to both sides to isolate b

Therefore, the y-intercept is -14. Plug this back into
:

I hope this helps!
Answer:
d he didn't make a mistake
Step-by-step explanation:
so when is says comparing to one it means is the fraction greater than less than or equal to one and because 3/4 is less than one and 9/8 is greater than then 3/4 is less than 9/8 remember it always opens up to the larger number
6 numbers per cube
if one is a 1, then the other one has to be a 2, 4 or 6 to be an odd sum
1+2=3, 1+4=5,1+6=7
since there are 3 numbers you can get that would be a 3/6 ( reduce to 1/2) probability
so 1/2 probability
<h3>
Answer: Choice A. 8pi feet</h3>
======================================================
Explanation:
The perimeter around the circle is known as the circumference
The full circumference of a circle with radius r is
C = 2*pi*r
In this case, r = 16 is the radius, so,
C = 2*pi*r
C = 2*pi*16
C = 2*16*pi
C = 32pi
is the full distance around the circle. But we only want 90/360 = 1/4 of that total distance. So take 1/4 of 32pi to get
(1/4)*32pi = (1/4*32)pi = 8pi
The arc length is exactly 8pi feet long
Approximately this is about 25.13274 feet