Diagonals of a rectangle are congruent.
18x - 28 = x + 380
Solving for x, I get 17.
So, x = 17.
PR = 18x - 28
PR = 18(17) - 28
PR = 278
QS = x + 380
QS = 17 + 380
QS = 397
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
Since the left side of the equation says f(5), then plug in 5 for x.
So, it is:
-4|5| + 3
= -20 + 3
= 23
Answer:
1/14:5/7:3/14
Step-by-step explanation:
Since orange=15
Apple=5
Coconut milk=50
50+15+5
70
So
Orange=15/70
Divide both by 5
=3/14
Apple=5/70
Divide both by 5
=1/14
Coconut milk=50/70
Divide both by 10
=5/7
So the ratio of apple to coconut to orange
1/14:5/7:3/14
