Answer:
real numbers: all
rational: all but pi
Integers: 20,-9
Whole, 20,-9, radical 16
Natural: 20
Irrational: pi
Step-by-step explanation:
Answer:
B (3, 13.5)
Step-by-step explanation:
Using point (0,0) and (15, 67.5) we can find the slope(gradient).
(y - y¹) / (x - x¹) = (67.5 - 0) / (15 - 0)
= 67.5 / 15 = 4.5
slope = 4.5
using the point given in option A (0, 4.5) with point (15, 67.5) to calculate the slope it gives 4.2 which is not equal to what we calculated.
using the option B (3, 13.5) with (15, 67.5) gives a slope of 4.5 which is equal to the slope of the line.
It’s b and d because when simplified they’re both 25/1
For get the length of apothem write sin60 = a/4 so sqrt3 /2 = a/4 so a = 4sqrt3 /2
a = 2sqrt3
so area of base = 6(4*2sqrt3)/2 = 6*4sqrt3 = 24sqrt3 unit squared
the lateral area = 4*4*6/2 = 4*2*6 = 48 unit squared
total area = 24sqrt3 +48 = 24(sqrt3 +2) unit squared
hope this will help you
Answer:
y_c = 2 + 10*x
Step-by-step explanation:
Given:
y'' = 0
Find:
- The solution to ODE such that y(0) = 2, y'(0) = 10
Solution:
- Assuming a solution y = Ce^(mt)
So, y' = C*me^(mt)
y'' = C*m^2e^(mt)
- Back substitute into given ODE, we get:
y'' = C*m^2e^(mt) = 0
e^(mt) can not be equal to zero
- Hence, m^2 = 0
m = 0 , 0 - (repeated roots)
- The complimentary function for repeated roots is:
y_c = (C1 + C2*x)*e^(m*t)
y_c = C1 + C2*x
- Evaluate @ y(0) = 2
2 = C1 + C2*0
C1 = 2
-Evaluate @ y'(0) = 10
y'(t) = C2 = 10
Hence, y_c = 2 + 10*x
