Answer:
y= -1/4x - 5
Step-by-step explanation:
first you need to find the slope.
to do this you can use the equation: change in y/change in x which is also y2 - y1/x2-x1
-8 - (-6)/12-4
-2/8
-1/4 = slope
since the line's equation is y = mx + b, we still need to find the y-intercept. we can do this by just plugging in one of the points
-6 = -1/4(4) + b
-6 = -1 + b
-5 = b
so the final equation is y= -1/4x - 5
F(4)=4(4)+5
Which equals
F(4)=21
Answer:
Step-by-step explanation:
<u><em>Using Pythagorean Theorem:</em></u>
=> 
Where c is hypotenuse, a is base and b is perpendicular and ( a, b = 4)
=> 
=> 
=> 
Taking sqrt on both sides
=> c = 5.7 units
Answer:
28.1%
Step-by-step explanation:
Population increased by (561000-438000)=123000
rate of increase
= (123000/438000)*100
=28.08
=28.1
Answer:
(2, 5)
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 - 3x = 1
2y - x = 12
<u>Step 2: Rewrite Systems</u>
y - 3x = 1
- Add 3x on both sides: y = 3x + 1
<u>Step 3: Redefine Systems</u>
y = 3x + 1
2y - x = 12
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2(3x + 1) - x = 12
- Distribute 2: 6x + 2 - x = 12
- Combine like terms: 5x + 2 = 12
- Isolate <em>x</em> term: 5x = 10
- Isolate <em>x</em>: x = 2
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define equation: 2y - x = 12
- Substitute in <em>x</em>: 2y - 2 = 12
- Isolate <em>y </em>term: 2y = 10
- Isolate <em>y</em>: y = 5
