Answer:
3
Step-by-step explanation:
The degree of the given monomial = 2 + 1 = 3
The magnitude of the vector from the origin is 10
The unit vector in of the vector from the origin as (8/10, -6/10
<u>Step-by-step explanation:</u>
<u>1.Finding the magnitude,</u>
we have the formula,
magnitude=√a²+b²
we have the values as a=8 and b=-6
Finding the magnitude we get,
magnitude=√a²+b²
magnitude=√8²+6²
magnitude=√100
magnitude=10
The magnitude of the vector from the origin is 10
<u>2.Finding the unit vector</u>
Divide by the magnitude
Unit vector: (8/10, -6/10)
The unit vector in of the vector from the origin as (8/10, -6/10
5y - 16 + 3y + 20 = 180 degrees
Combine like terms on the left side
8y + 4 = 180
Subtract 4 from both sides.
8y = 176
Divide both sides by 8
y = 22
Plug 22 into y for each angle.
3y + 20 = 3(22) + 20 = 66 + 20 = 86 degrees
5y - 16 = 5(22) - 16 = 110 - 16 = 94
The angle opposite 5y - 16 also equals 94 because they are vertical angles.
The angle opposite of 3y + 20 also equals 86 because they are vertical angles
Let a=price of adult ticket
let c=price of a child's ticket
start out by writing the following system of equations:
3a+4c=132
2a+3c=94
then, multiply the first equation by 2, and the second equation by 3 to get the following system of equations:
6a+8c=264
6a+9c=282
subtract the like terms to get the following equation:
-c=-18
divide both sides by -1 to get rid of the negative to get the price of a child's ticket to be $18. to find the price of an adult ticket, pick one of the original equations to substitute the 18 in for c to find a. for example:
2a+3c=94
2a+3(18)=94
2a+54=94
-54 -54
2a=40
2 2
a=20
or if you decide to use the other equation:
3a+4c=132
3a+4(18)=132
3a+72=132
-72 -72
3a=60
3 3
a=20
either way, you still get an adults ticket to be $20 and a child's ticket to be $18.
Answer:
B the set of all natural numbers and the ser of all
