Answer:
144.44 yards
Step-by-step explanation:
The formula to find circumference is: C = π · d
Since we already have most of the factors figured out, we just replace them with what we have.
C = 3.14 · 46 yrds
144.44 = 3.14 · 46
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:
6 + 4 × -2/4 = 4
Step-by-step explanation:
hi hope u understand
.65
13/20
Just simply divide and you get .65
for the first one it is the second option because of one property of logarithms:
log(a)-log(b)=log
for the second one using the same property we can say that we third option is correct and not the second one but we use one more property of the logarithm
loga(b)^x=xloga(b) the power of the logarithm becomes a fator and ![\sqrt[3]{x}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D)
is equal to 
