The first thing you should do in this case is to know that you can rewrite the expression.
We have then:
root (50)
Rewriting:
root (2 * 25)
5 * root (2)
Which belongs to the set of irrational numbers.
Answer:
Irrational numbers.
Answer:
x= -6
Step-by-step explanation:
17=-2x+5
17-5=-2x+5-5
12= -2x then divided both side by -2
-6=x
Answer:
y = (x + 9)² + 9
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
given a parabola in standard form : ax² + bx + c : a ≠ 0
the the x-coordinate of the vertex is
= - 
y = x² + 18x + 90 is in standard form
with a = 1, b= 18 and c = 90
= - 
= - 9
to find the corresponding y-coordinate substitute x = - 9 into the equation
y = (- 9)² + 18(- 9) + 90 = 81 - 162 + 90 = 9
⇒ y = (x + 9)² + 9 ← in vertex form
d = diameter of the copper wire = 8.252 mm
r = radius of the copper wire = d/2 = 8.252 mm /2 = 4.126 mm = 0.004126 m
A = area of cross-section of the copper wire = πr² = (3.14) (0.004126)² = 53.5 x 10⁻⁶
L = length of the copper wire = 2.40 km = 2400 m
ρ = resistivity of copper wire = 1.68 x 10⁻⁸
resistance of copper wire is given as
R = ρL/A
inserting the above values in the formula
R = ( 1.68 x 10⁻⁸)(2400)/(53.5 x 10⁻⁶)
R = 0.753 ohm
