Twelve more than twice a number is three more than eight times a number
1 answer:
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Answer:
49°
Step-by-step explanation:
Given vectors:
a = [-8, 6]
B = [√7, 3]
θ = ?
To find the angle between the two vectors, we will be using the formula,
a.B = |a||B|cosθ
For simplicity, it is good to first calculate the dot product, and the magnitudes. Then we will substitute the values of the dot product, and the magnitudes of the vectors to solve for the angle.
Calculating the dot product
a.B = (-8, 6) . (√7, 3)
= (-8 × √7) + (6 × 3)
= -8√7 + 18
= 18 - 8√7
= 10√7
Calculating the magnitude the vectors
1. The magnitude of vector (-8, 6)
2. The magnitude of vector (√7, 3)
Calculating the angle between the vectors,
cosθ =
cosθ =
cosθ = 0.6614
θ = cos⁻¹0.6614
θ = 48.59°
θ = 49°
Answer:
The solution is <u>-3</u>.
The graph is attached.
Step-by-step explanation:
To solve, first subtract 2 from both sides to get . Now divide 5 from both sides to get
.
The graph representing this is attached.
Hope it helps and is correct!
