Answer:
(-19, 55)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = -3x - 2
5x + 2y = 15
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 5x + 2(-3x - 2) = 15
- Distribute 2: 5x - 6x - 4 = 15
- Combine like terms: -x - 4 = 15
- Isolate <em>x</em> term: -x = 19
- Isolate <em>x</em>: x = -19
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = -3x - 2
- Substitute in <em>x</em>: y = -3(-19) - 2
- Multiply: y = 57 - 2
- Subtract: y = 55
Answer: No solution
Step-by-step explanation:
Perimeter= 2(length) + 2(width)
If they have the same perimeter than we can write their values as an equation like this:
2(10) + 2x = 2(6) + 2(x + 3)
20 + 2x = 12 + 2(x+3)
DISTRIBUTE THE 2 TO THE X AND THE 3
20 + 2x = 12 + 2x + 6
COMBINE LIKE TERMS
20 + 2x = 18 + 2x
SUBTRACT 2X FROM BOTH SIDES
20 = 18
<u>THE EQUATION HAS NO SOLUTION, AND YOU ARE CORRECT</u>
To find the mean you add all the numbers and divide by how many numbers there are so in this case 2+3+4+4+6= 19, there are 5 numbers so divide 19/5
Mercury the liquid metal? 674.1°F or 356.7°C
I'm not sure what the stuff in blue indicates. If we ignore that, then the flat horizontal line means the person stays motionless at some distance away from the motion detector. They don't move because the slope = rise/run is zero here, to indicate a zero speed.
