Can you show the map so I can come back and answer the question for you
Answer:
The equation would be y = -3x - 9
Step-by-step explanation:
Since we have the slope of 1/3, we know the slope of a perpendicular line would be -3. This is because perpendicular lines have opposite and reciprocal slopes. We can then use this and the point to solve in point-slope form.
y - y1 = m(x - x1)
y - 3 = -3(x + 4)
y - 3 = -3x - 12
y = -3x - 9
Answer:
Step-by-step explanation:
The area would be 25 square centimeter
Since angle HBC is a right angle, therefore it's 90 degree. So to prove that ΔABC (pre-image) and ΔIBH (image) use the same amount of fabric, point B should be rotated 90 degree clockwise. Thank you for posting your question. I hope that this answer helped you. Let me know if you need more help.
Answer:
0.200
Step-by-step explanation:
∑ₓ₌₁⁴⁰ (1 + i)⁻ˣ = 5
∑ₓ₌₁⁴⁰ ((1 + i)⁻¹)ˣ = 5
This is a geometric series. The sum of the first n terms of a geometric series is:
S = a₁ (1 − rⁿ) / (1 − r)
where a₁ is the first term and r is the common ratio.
Here, a₁ = (1 + i)⁻¹, r = (1 + i)⁻¹, and n = 40. For simplicity, let's write both a₁ and r in terms of r. So a₁ = r and r = r.
5 = r (1 − r⁴⁰) / (1 − r)
5 (1 − r) = r (1 − r⁴⁰)
5 − 5r = r − r⁴¹
r⁴¹ − 6r + 5 = 0
Solving with a calculator, r ≈ 0.8334.
Therefore:
(1 + i)⁻¹ = 0.8334
1 + i = 1.200
i = 0.200