Check the Wronskian determinant:
The determinant is not zero, so the solutions are indeed linearly independent.
Answer:
1. y=-x-3 2.y=1/3x-4
Step-by-step explanation:
1. 3x+3y=-9
3y=-3x-9
y=-x-3
2. x-3y=12
-3y=-x+12
y=1/3x-4
Answer:
About 588.7 mm^3
Step-by-step explanation:
The formula for the volume of a sphere is (4/3)*pi (or in this case 3.14)*r^3, where r is the radius.
We need the radius. We are given the diameter, 10.4.
The radius is half the diameter, so 10.4/2=5.2.
Use r=5.2 and put it into the formula:
(4/3)*3.14*5.2^3≈588.7
Answer:
A= Congruent
B= Supplementary
C= Congruent
D= Congruent
E=Supplementary
Step-by-step explanation:
Step-by-step explanation:
=( n-2)180
= ( 4 - 2 )180
= 360
So, 144 + 90 + m<2 +m<1 = 360
144 + 90 + 85 + m<1 = 360
319 + m<1 = 360
m<1 = 360 - 319
m<1 = 41
their is an unknown angle so let's call it x
let's find x first ( m<6=49)
x + m<6 = 180
x + 49 = 180
x = 180 - 49
x = 131
Now let's find m<7
m<7 + 38 + m<4 + x = 360
m<7 + 38 + 85 + 131 = 360
m<7 + 254 = 360
m<7 = 360 - 254
m< 7 = 106