Answer:
(-3, 4)
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>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equation using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
3y = -5x - 3
y = -x + 1
<u>Step 2: Rewrite Systems</u>
Equation y = -x + 1
- [Multiplication Property of Equality] Multiply everything by -3: -3y = 3x - 3
<u>Step 3: Redefine Systems</u>
3y = -5x - 3
-3y = 3x - 3
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Combine 2 equations: 0 = -2x - 6
- [Addition Property of Equality] Add 6 on both sides: 6 = -2x
- [Division Property of Equality] Divide -2 on both sides: -3 = x
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define original equation: y = -x + 1
- Substitute in <em>x</em>: y = -(-3) + 1
- Simplify: y = 3 + 1
- Add: y = 4
Answer:
Step-by-step explanation:
The television takes the shape of a rectangle whose width is 25 inches and whose height is 18 inches. To determine the length of the diagonal, we will apply Pythagoras theorem. It states that
Hypotenuse^2 = opposite^2 + adjacent^2
From the given information,
Adjacent side = 25 inches
Opposite side = 18 inches
Diagonal = hypotenuse.
Therefore
Diagonal^2 = 25^2 + 18^2
Diagonal^2 = 625 + 324 = 949
Take square roots of both sides of the equation, it becomes
Diagonal = √949 = 30.805 inches
Approximately 30.8 inches to the nearest tenth.
Assumption:
<em>Something is missing in question. If we see deeply it is apparent that there is some issue with option b i.e. </em><em>B) 8 − 4x 10 = 4 + 2x </em><em>we assume that the questioner want to type </em><em>B) 8-4x^10 = 4 + 2x.</em>
Answer:
The correct answer is <em> </em><em>B) 8-4x^10 = 4 + 2x.</em>
Step-by-step explanation:
All equations given is the question can be solve easily to determine the value of x. However if we solve equation mentioned in option b we cannot get single answer easily.
For example value of x in eq given in option A
15x + 123 = 5x+4
1oX = -119
X = -119/10
