Answer:
80°
Step-by-step explanation:
angles in a triangle add up to 180°
70° + 30° = 100°
180° - 100° = 80°
Answer:sinA=8/17
Step-by-step explanation:
Using Pythagoras principle
x=√(15^2+8^2)
x=√(15x15+8x8)
x=√(225+64)
x=√(289)
x=17
SinA=opposite/hypothenus
SinA=8/17
Answer:
f(g(x)) = 15x + 2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
- Functions
- Function Notation
- Composite Functions
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 5x + 7
g(x) = 3x - 1
<u>Step 2: Find</u>
- Substitute in functions: f(g(x)) = 5(3x - 1) + 7
- [Distributive Property] Distribute 5: f(g(x)) = 15x - 5 + 7
- [Addition] Combine like terms: f(g(x)) = 15x + 2
Answer:
The standard form of the parabola is 
Step-by-step explanation:
The standard form of a parabola is
.
In order to convert
into the standard form, we first separate the variables:

we now divided both sides by 2 to remove the coefficient from
and get:
.
We complete the square on the left side by adding 3 to both sides:



now we bring the right side into the form
by first multiplying the equation by
:

and then we multiplying both sides by
to get
.
Here we see that


Thus, finally we have the equation of the parabola in the standard form:

take out some of the x's and take out a two so it should look like this.
2x^5(x2-2x-35)
2x5(x-7)(x+5)
x=0,7,-5