Answer:
x=−6−√105 or x=−6+√105
Step-by-step explanation:
Set the function equal to 0
0=x²+12x−69 Subtract x² from both sides.
0−x²=x²+12x−69−x²
−x²=12x−69 Subtract 12x from both sides.
−x²−12x=12x−69−12x
−x²−12x=−69 Divide both sides by -1.
x²+12x=69 Add (12/2)^2=36 to both sides to complete the square.
x²+12x+36=69+36
x²+12x+36=105 Factor left side.
(x+6)²=105 Take square root of both sides
x+6=±√105 Add -6 to both sides.
x+6+−6=−6±√105
x=−6±√105 Write out both solutions
x=−6−√105 or x=−6+√105
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Answer:
(7, 14)
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>
4x + y = 42
y = x + 7
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 4x + (x + 7) = 42
- Combine like terms: 5x + 7 = 42
- Isolate <em>x</em> term: 5x = 35
- Isolate <em>x</em>: x = 7
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = x + 7
- Substitute in <em>x</em>: y = 7 + 7
- Add: y = 14
<em><u>Question:</u></em>
Which of the following is another way to express the equation 8 - (-d) = 43?
A.8-d=43
B.-d+8=43
C.-8+d=43
D.8+d=43
<em><u>Answer:</u></em>
8 + d = 43 is another way to express the given equation
<em><u>Solution:</u></em>
Consider the given equation
We have to find the another way to express the above equation
We know that,
We we multiply negative sign number by another negative sign number, then the result is positive sign number
Therefore from given,
<em><u>Thus the given equation becomes,</u></em>
8 + d = 43
Thus option D is correct
You use a modification of the pythagorean theorem to find
pythagoreas c^2=a^2+b^2
the easy way is you use the equation
so input in format (x,y) then
(2,2)
(7,5)
x1=2
y1=2
x2=7
y2=5
the distance is 5 units