Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Coordinates (x, y)
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
Point (0, -5)
Point (-2, 1)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute in points [Slope Formula]:
- [Fraction - Denominator] Simplify:
- [Fraction - Numerator] Subtract:
- [Fraction - Denominator] Add:
- [Fraction] Divide:
Answer:
j + 2
Step-by-step explanation:
1/3(3j) + 1/3(6)
1/3(3j) = j
1/3(6) = 2
Answer: j + 2
Answer:
Axis of Symmetry is x = 2
Vertex is (2, -9)
X Intercepts are (5, 0) and (-1, 0)
Step-by-step explanation:
Quadratic Equation is in standard form. Formula find the x value of the vertex in standard form is -b/2a
a=1
b=-4
c=-5
--4/2(1) = 2
Plugin to find the y value of the vertex.
2^2-4(2)-5=y
4-8-5=y
y = -9
The x value of the vertex (in this case is 2) is the axis of symmetry. Therefore the axis of symmetry is x=2
Factor the equation to put into intercept form.
(x-5)(x+1) = y
The equation can be FOIL-ed to get back to standard form.
Separate the 2 parentheses and whatever can cancel the parentheses are your intercepts.
For (x-5) your intercept is (5, 0)
For (x+1) your intercept is (-1, 0)
The x intercepts are where the parabola will cross the x axis on the graph.
Okay, are you saying:
-a = 2, b = 2, c = 2, solve (a + b + c)
or
-2a * 2b * 2c(a + b + c)
Answer:
y = x + 5
Step-by-step explanation:
The line passes through points (-7,-2) and (2,7)
Slope of the line = change in y ÷ change in x = 
= 1
Taking another point (x,y) on the line;
Slope = 
= 1
Cross multiplying this gives;
y - 7 = x - 2
y = x + 5
