Answer:
n = 8
Step-by-step explanation:
The angles are vertical angles and so they are equal
9n = 8n+8
Subtract 8n from each side
9n - 8n = 8n+8-8n
n = 8
X/3=1351/7
cross multiply
7x=4053
divide by seven on both sides
x=579
Answer:
mAngleY < mAngleZ < mAngleX
Step-by-step explanation:
Since m ≥ 6
Let's assume m = 7
XY = m + 8 = 7 + 8 = 15
YZ = 2 m + 3 = 2(7) + 3 = 17
ZX = m - 3 = 7 - 3 = 4
When solved, the angles of the triangle are given below;
∠X = 113.58
∠Y = 12.45
∠Z = 53.97
Arranging in order;
∠Y < ∠Z < ∠X
The correct option is;
mAngleY < mAngleZ < mAngleX
The line that passes through points (-2,1) and (3,-1) is a negative slope
Answer:
B) 4√2
General Formulas and Concepts:
<u>Calculus</u>
Differentiation
- Derivatives
- Derivative Notation
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Parametric Differentiation
Integration
- Integrals
- Definite Integrals
- Integration Constant C
Arc Length Formula [Parametric]:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Interval [0, π]
<u>Step 2: Find Arc Length</u>
- [Parametrics] Differentiate [Basic Power Rule, Trig Differentiation]:
- Substitute in variables [Arc Length Formula - Parametric]:
- [Integrand] Simplify:
- [Integral] Evaluate:
Topic: AP Calculus BC (Calculus I + II)
Unit: Parametric Integration
Book: College Calculus 10e