Square it -56 + 15k = k^2
re arrange get k^2 - 15k + 56 = 0
factor (k - 7)(k - 8) = 0
solve k - 7 = 0, k - 8 = 0
k = 7 or 8
Answer:
(3, 2)
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 = 2x - 4
y = -x + 5
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2x - 4 = -x + 5
- Add <em>x</em> to both sides: 3x - 4 = 5
- Add 4 to both sides: 3x = 9
- Isolate <em>x</em>: x = 3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = -x + 5
- Substitute in <em>x</em>: y = -3 + 5
- Add: y = 2
44
Assuming JM and LN are parallel, KMJ=MKN. MKN is part of a triangle where the other two values are defined (48 and 88). By subtracting these values from 180, we find the value of MKN is 44, which therefore is also the value of KMJ.
Step-by-step explanation:
This is a familiar conversion problem: