Hint:
Diameter(d)= 2 radius(r)
circumference= 2πr= πd
1. diameter= 19 × 2 = 38 inches
circumference= 3.18(38) = 119 inches (3 s.f.)
Note that I use 3.18 instead of π because the question states to use 3.14 for π.
Likewise, if you are given the diameter, divide it by 2 to find radius. Let's try a question which only gives you the diameter.
4. radius= 22 ÷ 2 = 11cm
circumference= 3.14(22) = 69.1cm (3 s.f.)
Domain: set of all numbers that can be inputted into a function
Since you cannot take the square root of a negative number, this means that x-4 CANNOT be negative. So it's either 0 or it's positive.
So..
<span>x−4≥0
</span>x−4+4≥0+<span>4
</span>x≥<span>4
</span>So this says: "Any number greater than or equal to 4 will result in x-4 being either 0 or some positive number"
So this means that the domain is
<span>{x|x≥4}
</span>This basically says: "the domain is the set of all numbers x such that x is greater than or equal to 4"
In interval notation, the domain is <span>[4,∞)
</span>The range is the set of all possible outputs. We can find the most extreme point of the range by plugging in the most extreme value for the domain
<span>
sqrt(x-4) = </span>sqrt(4-4) = <span>sqrt(0) = 0
</span>So the smallest possible output is y=0, which means that the range is
<span>{y|y≥0<span>}
</span></span>
This basically says: "the range is the set of all numbers y such that y is greater than or equal to 0"
In interval notation, the range is
<span>[0,∞)</span>
Answer:
717.3
Step-by-step explanation:
717.25
717.3
Answer:
Step-by-step explanation:
Factorise the denominator of the second fraction
y² - 1 = (y - 1)(y + 1) ← difference of squares
To obtain a common denominator
multiply numerator/ denominator of first fraction by (y + 1)
= 
- 
← subtract numerators leaving the common denominator
= 
= 
= 
← cancel common factor (y - 1) on numerator/denominator
=
12 in=1 feet
3 feet=1 yards
10 yards=30 feet
30=360 in
The answer is false, they both equal to each other
