Answer:
44.8 cm
Step-by-step explanation:
Vertical height (h) = EM = 20 cm
Slant height (l) = 30 cm
This two heights form a right angle at the interception at the base. Thus, we have a right angle triangle.
The length of the sides of the base = 2 × the base of the right triangle
✔️Use Pythagorean theorem to find the base of the right triangle formed. Thus: c² = a² + b²
a = base of the triangle
b = h = 20 cm
c = l = 30 cm
Plug in the values
30² = a² + 20²
a² = 30² - 20²
a² = 500
a = √500
a = 22.4 cm
✔️length of the sides of the base = 2 × the base of the right triangle
= 2 × a
= 2 × 22.4
= 44.8 cm
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>
The answer is 2 because 2+2-2*2/2
=4-2*1
=4-2
=2
Answer:
A
Step-by-step explanation:
replace y with 5 giving you 5 = x^2 - 4 then solve giving you x^2 = 9 and then square the 9 giving you x = 3
