Please help me on this
2 answers:
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Answer:
y = -3x - 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Slope Formula:
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from graph.</em>
x-intercept (-2, 0)
y-intercept (0, -6)
<u>Step 2: Find slope </u><em><u>m</u></em>
- Substitute:
- Subtract/Add:
- Divide:
<u>Step 3: Redefine</u>
Slope <em>m</em> = -3
y-intercept <em>b</em> = -6
<u>Step 4: Write linear equation</u>
Slope-Intercept Form: y = -3x - 6
Answer:
3.6 m
Step-by-step explanation:
Given that :
Length of room = 6
Distance between opposite corners = 7
Width of room :
Using Pythagoras rule:
Opposite ²= hypotenus² + adjacent²
From. The diagram attached :
w² = 7² - 6²
w² = 49 - 36
w² = 13
w = 3.605
w = 3.6 m
Answer:
θ = (60° )
Step-by-step explanation:
Using the identity
sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
Given
cos²θ - sin²θ = 2 - 5cosθ
cos²θ - (1 - cos²θ) = 2 - 5cosθ
cos²θ - 1 + cos²θ = 2 - 5cosθ
2cos²θ - 1 = 2 - 5cosθ ( subtract 2 - 5cosθ from both sides )
2cos²θ + 5cosθ - 3 = 0 ← in standard form
(cosθ + 3)(2cosθ - 1) = 0 ← in factored form
Equate each factor to zero and solve for θ
cosθ + 3 = 0
cosθ = - 3 ← not possible as - 1 ≤ cosθ ≤ 1
2cosθ - 1 = 0
cosθ = , so
θ = (
) =
( or 60° )