Answer:
y= -3/5x + 12/5
Step-by-step explanation:
<u>Remember, the formula is y= mx + b</u>
#1 So we're gonna put it into that order by subtracting 3x from both sides:
3x + 5y= 12
-3x -3x
We are left with this:
5y= -3x + 12
#2 Now we will divide 5 to both sides to isolate the variable
5y/5= -3x/5 + 12/5
#3 Now that the variable is isolated we are left with the answer:
y= -3/5x +12/5
Hope this helps :)
Answer:
θ = 49.4584°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] cosθ = adjacent over hypotenuse
- Inverse Trig
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
Angle θ = ?
Adjacent Leg = 13
Hypotenuse = 20
<u>Step 2: Find Angle</u>
- Substitute in variables [cosine]: cosθ = 13/20
- Inverse Trig: θ = cos⁻¹(13/20)
- Evaluate: θ = 49.4584°
1. 30 in
2. 40 in
I hope this helped
For number one, the answer will be C because the ratio between the side and the perimeter of the Pentagon will be 1/5 or 2/10 or 3/15. For number 2, we know that the Pentagon had 5 sides, and the side of it is 8, so the perimeter of this Pentagon will be 8+8+8+8+8 or 40 inches, which is C. Hope it help!
Answer:
Step-by-step explanation:
Given:
The table is given as:
x 0 4 7 8
y 0 24 42 48
The relationship between 'x' and 'y' is a proportional relationship.
A proportional relationship is one in which one variable varies directly with the other by a factor of 'k' also known as constant of proportionality and 
A proportional relationship is given as:
Now, we plug in 'x' and 'y' values and find the value of 'k'.
Let 
Therefore, the constant of proportionality is 6. Hence the complete equation is given as:
