The area is (BK) times (AK or CK).
If you have no numbers given, it's not possible to find the length of BK, or the actual number that represents the area.
Area of a circle is found using the formula: Area = π * r^2
Using 3.14 for π
Area of the bull'e eye = π * 2^2 = 4π = 4 * 3.14 = 12.56 square inches.
This is 20% of the entire target.
To find the area of the entire target, divide the area of the bull's eye by the percentage:
Area = 12.56 / 0.20 = 62.8 square inches.
Round the answer as needed.
Answer: The value of k for which one root of the quadratic equation kx2 - 14x + 8 = 0 is six times the other is k = 3.
Let's look into the solution step by step.
Explanation:
Given: A quadratic equation, kx2 - 14x + 8 = 0
Let the two zeros of the equation be α and β.
According to the given question, if one of the roots is α the other root will be 6α.
Thus, β = 6α
Hence, the two zeros are α and 6α.
We know that for a given quadratic equation ax2 + bx + c = 0
The sum of the zeros is expressed as,
α + β = - b / a
The product of the zeros is expressed as,
αβ = c / a
For the given quadratic equation kx2 - 14x + 8 = 0,
a = k, b = -14, c = 8
The sum of the zeros is:
α + 6α = 14 / k [Since the two zeros are α and 6α]
⇒ 7α = 14 / k
⇒ α = 2 / k --------------- (1)
The product of the zeros is:
⇒ α × 6α = 8 / k [Since the two zeros are α and 6α]
⇒ 6α 2 = 8 / k
⇒ 6 (2 / k)2 = 8 / k [From (1)]
⇒ 6 × (4 / k) = 8
⇒ k = 24 / 8
⇒ k = 3
Answer:
1. 4
2. 11
3. 18
4. 25
Step-by-step explanation:
