Answer:9/16
Step-by-step explanation:
Since we know it's 3/4 use
r=(3/4)² .... 
=
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:
Y=-2
Step-by-step explanation:
You would use the vertex form to find the directrix
Answer: 1 and 13
Step-by-step explanation: To find the factors of 13, begin by dividing 13 by 1 which gives us 13. This tells us that 1 and 13 are factors of 13.
13 is a prime number which means it only has two factors which are 1 and 13.
Answer:
2,401 yards long
Step-by-step explanation:
9,604 divided by 4 = 2,401
