Answer:
(-4, -8)
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>Algebra I</u>
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
x - 2y = 12
5x + 3y = -44
<u>Step 2: Rewrite Systems</u>
x - 2y = 12
- [Multiplication Property of Equality] Multiply everything by -5: -5x + 10y = -60
<u>Step 3: Redefine Systems</u>
-5x + 10y = -60
5x + 3y = -44
<u>Step 4: Solve for </u><em><u>y</u></em>
<em>Elimination</em>
- Combine 2 equations: 13y = -104
- [Division Property of Equality] Divide 13 on both sides: y = -8
<u>Step 5: Solve for </u><em><u>x</u></em>
- Define original equation: x - 2y = 12
- Substitute in <em>y</em>: x - 2(-8) = 12
- Multiply: x + 16 = 12
- [Subtraction Property of Equality] Subtract 16 on both sides: x = -4
Answer:
I believe the answer to this question is: 1 x 10^21 equal to 1000000000000000000000.
Answer:
A. A construction is a figure drawn using only a straightedge and a compass
Answer: $450
Step-by-step explanation:
Given that:
Amount borrowed = $450
Amount charged per lawn = $35
Operating cost per lawn = $8
Jimmy's cost (C(x)) :
Amount borrowed + operating cost
If x lawns are mowed :
$450 + $8 per lawn
$450 + $8x
C(x) = 450 + 8x
Intercept (value of y when x = 0
Value of C(x) ; when x = 0
C(x) = 450 + 8(0)
C(x) = 450 + 0
C(x) = 450
Answer:
3x
Step-by-step explanation:
The area of a triangle is (base × height)/2.
In this picture, the base is 3.
The height is 2x.
(3×2x)/2
=6x/2
=3x