Y=3.6x is direct variation. The constant is 3.6
8y=2x is the same as y=0.25x. It is direct variation, and the constant is 0.25
1. Assuming "dinners made" is on the y-axis, DV is y=2x. The constant is 2
2. This is not direct variation, and therefore does not have a constant of variation
Answer: Alvin = 42 yrs , Elga = 21 yrs
Step-by-step explanation:
Let Elga's age be x , and Alvin's age be y ,since Alvin is two times Elga's age , then
Alvin's age = 2x , that is
y = 2x ............... equation 1
The sum of their ages is 63 implies
x + y = 63 .............. equation 2
Solving the resulting linear equations by substitution method.
Substitute equation 1 into equation 2 , we have
x + 2x = 63
3x = 63
x = 63/3
x = 21
Therefore : Elga is 21 years old , then Alvin will be 21 x 2, which will be 42
Answer:
greatest common factor is 12xy² .
Step-by-step explanation:
All we have to do here is divide $13.50 by $0.90 to figure out how many guppies she can buy
$13.50 ÷ $0.90 = 15
Therefore, Karla can buy <u>15 guppies</u> with $13.50
Hope this helps you
Brainliest would be appreciated
- AaronWiseIsBae
Answer:
General solution is

Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given cos x - sin x = √2 cos (3 x)
Dividing '√2' on both sides , we get

we will use trigonometry formulas
a) Cos ( A + B) = Cos A Cos B - sin A sin B
b) 
<u><em>Step(ii):-</em></u>
<u><em></em></u>
<u><em></em></u>


<u><em>Step(iii):-</em></u>
<u><em>General solution of cos x = cos ∝ is x = 2 nπ+∝</em></u>
<u><em>we have </em></u> 
The general solution of
is
⇒ 
⇒ 

<em><u>final answer</u></em>:-
General solution is
