1. Multiply: (3x+1)(x+2) Answer:3x^2+7x+2
2.Remember to combine all like terms, and FOIL to check if you had factored a trinomial correctly.
Answer:
5 cm
Step-by-step explanation:
Let the shorter side be a, longer side be b, hypotenuse be c
By Pythagorean theorem:
a² + b² = c²
a² + (a + 7)² = (a + 8)²
a² + a² + 14a + 49 = a² + 16a + 64
a² - 2a - 15 = 0
a² + 3a - 5a - 15 = 0
a(a + 3) - 5(a + 3) = 0
(a + 3)(a - 5) = 0
a = -3 or a = 5
Because a is a side length and is a positive number
a = 5
Answer:
8/17
General Formulas and Concepts:
<u>Trigonometry</u>
- [Right Triangles Only] cos∅ = adjacent over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use trig to find the ratio.
<u>Step 2: Identify</u>
<em>POV from angle S</em>
Adjacent = 8
Hypotenuse = 17
<u>Step 3: Write</u>
- Substitute [cosine]: cos(s) = 8/17
Answer:
0
Step-by-step explanation:
Find the following limit:
lim_(x->∞) 3^(-x) n
Applying the quotient rule, write lim_(x->∞) n 3^(-x) as (lim_(x->∞) n)/(lim_(x->∞) 3^x):
n/(lim_(x->∞) 3^x)
Using the fact that 3^x is a continuous function of x, write lim_(x->∞) 3^x as 3^(lim_(x->∞) x):
n/3^(lim_(x->∞) x)
lim_(x->∞) x = ∞:
n/3^∞
n/3^∞ = 0:
Answer: 0