Answer:
(-3, 5)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Coordinates (x, y)
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = x + 8
x + y = 2
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y </em>[2nd Equation]: x + x + 8 = 2
- Combine like terms: 2x + 8 = 2
- [Subtraction Property of Equality] Subtract 8 on both sides: 2x = -6
- [Division Property of Equality] Divide 2 on both sides: x = -3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Substitute in <em>x</em> [1st Equation]: y = -3 + 8
- Add: y = 5
Your answer is 9. Hope this helps, if not, please comment below!
Hello There!
It is Arithmetic.
Hope This Helps You!
Good Luck :)
Since, Ladder makes an angle 60
∘
with the floor as shown in figure.
∴ ladder makes 120
∘
angle with the positive direction of x-axis.
⇒ slope of ladder =tan120
∘
=tan(90
∘
+30
∘
)=−cot30
∘
=−
3
