Answer:
(3, -9)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define systems</u>
-5x - 3y = 12
y = x - 12
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: -5x - 3(x - 12) = 12
- Distribute -3: -5x - 3x + 36 = 12
- Combine like terms: -8x + 36 = 12
- Isolate <em>x</em> term: -8x = -24
- Isolate <em>x</em>: x = 3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = x - 12
- Substitute in <em>x</em>: y = 3 - 12
- Subtract: y = -9
<u>Step 4: Graph systems</u>
<em>Check the solution set.</em>
Answer:
x = 6
y = -6
Step-by-step explanation:
x + y = 0 (Multiply by -1)
x + 9y= -48
-x - y = 0
x + 9y= -48
8y = -48
y = -6
x + y = 0
x - 6 = 0
x = 6
Answer:
5/12
Step-by-step explanation:
15÷3/36 ÷3
the answer is 5/12
Answer:
157.1 m
Step-by-step explanation:
Here, we want to calculate the length of the semi-circle
This simply refers to the circumference of the semi-circle
Mathematically, the circumference is half that of a full circle
The circumference of a full circle is;
C = pi * d
For half circle or semi-circle;
It is ;
C = (pi * d)/2
D = 50 m
The circumference is thus;
C = 50 * 3.142
C = 157.1 m