( 6 + x)(9 + x) =88
54 + 15x + x^2 = 88
x^2 + 15x - 34 = 0
(x + 17)(x - 2) = 0
using zero product property:-
x + 17 = 0 or x - 2 = 0 giving:-
x = -17 , x = 2
x is the amount that the length and width are increased by.
x = -17 is negative and doesn't make sense in this context and can be ignored; so the amount of increase is 2 feet.
Answer: The two equations that represent the conditions in the problems are 

Step-by-step explanation:
Since we have given that
Cost of 3 sparrows = $1
Cost of 2 turtle doves = $1
Cost of 1 dove = $2
Number of birds = 30
total cost = $30
So, Cost of s sparrows would be

Cost of t turtle doves would be
Cost of d doves would be

According to question, it becomes,

and

Hence, the two equations that represent the conditions in the problems are 

Y + 5 = 3(x + 4)
Because in point-slope format, it is: y-(y-value) = m (x-(x-value)), where m=slope, and the point: (-4,-5) can be written as: (x-value,y-value),
So y - -5 = 3 (x - -4)
Answer:
(-2, 0)
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>
-x - 2y = 2
4x - 2y = -8
<u>Step 2: Rewrite Systems</u>
-x - 2y = 2
- Multiply both sides by -1: x + 2y = -2
<u>Step 3: Redefine Systems</u>
x + 2y = -2
4x - 2y = -8
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Combine equations: 5x = -10
- Divide 5 on both sides: x = -2
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define equation: 4x - 2y = -8
- Substitute in <em>x</em>: 4(-2) - 2y = -8
- Multiply: -8 - 2y = -8
- Isolate <em>y</em> term: -2y = 0
- Isolate <em>y</em>: y = 0