Answer:
C. 12
Step-by-step explanation:
Answer:
1.8
Step-by-step explanation:
To do this, you need the slope formula
y^2 - y^1 over
x^2 - x^1
x^1 y^2 x^2 x^1
( 5, 11) (-5 -1)
-7 - 11 = -18
-5 -5 = -10 (divide) = 1.8
Answer:
x = -8
m∠BDC = 68°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Geometry</u>
- Definition of a Line: A line is 180°
Step-by-step explanation:
<u>Step 1: Set up Equation</u>
m∠BDC + m∠CDA = 180°
(-7x + 12)° + (-8x + 48)° = 180°
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: -15x + 60 = 180
- Isolate <em>x</em> term: -15x = 120
- Isolate <em>x</em>: x = -8
<u>Step 3: Find m∠BDC</u>
- Define: m∠BDC = (-7x + 12)°
- Substitute in <em>x</em>: m∠BDC = (-7(-8) + 12)°
- Multiply: m∠BDC = (56 + 12)°
- Add: m∠BDC = 68°
has critical points where the derivative is 0:
The second derivative is
and 
, which indicates a local minimum at 
with a value of 
.
At the endpoints of [-2, 2], we have 
and 
, so that has an absolute minimum of 
and an absolute maximum of 
on [-2, 2].
So we have
