The triangle is not a right angle
AC = 22 - 8 - 5 = 9
AC² = AB² + BC²
81 = 64 + 25
81 isn't equal to 89, the triangle is not a right angle
Answer:
x=11
z=16
Step-by-step explanation:
5x+3z=70
3x+4z=64
2x-z=6
z=2x-6
5x+3(2x-6)=70
11x=88
x=11
z=2(11)-6
=16
Answer: x = 4
Step-by-step explanation: f(2) = 3(2)-1 = 5. Meaning x needs to be a value that makes g(x) = 5. You can set them up equal to each other 5 = 2x-3 and solve. You end up getting x = 4.
X = 1 is the correct answer.
Using the log properties, remember that Log(base2)2 = 1
3log(base2)2x = 3
divide both sides by 3
log(base 2)2x = 1
log(base2)2 = 1
1 * x = 1
x = 1
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
