Answer + Explanation
You look at the two denominators of the fractions and find the least common multiple of both of them.
1. the LCM of 2 and 5 is 10
2. the LCM of 3 and 5 is 15
3. the LCM of 4 and 6 is 12
4. the LCM of 6 and 9 is 18
Answer:
12742π Km
Step-by-step explanation:
The length of the rope is the circumference of the circle, that is
C = 2πr ( r is the radius ) Here r = 6371
C = 2π × 6371 = 12742π Km
Answer:
4/3 or 1 1/3
Step-by-step explanation:
cube root of 64 = 4
cube root of 27 is 3
4/3 or 1 1/3
The value of h is 9/12 and the value of k is 35/48
<h3>How to solve the equation?</h3>
The equation is given as:
6x^2 +9x - 1 = 0
Add 1 to both sides of the equations
6x^2 +9x - 1 + 1= 0 + 1
Evaluate the sum
6x^2 +9x = 1
Divide through the equation by 6
x^2 +9/6x = 1/6
Take the coefficient of x
k = 9/6
Divide by 2
k/2 = 9/12
Square both sides
(k/2)^2 = (9/12)^2
So, we add (9/12)^2 to both sides of the equation x^2 +9/6x = 1/6
x^2 +9/6x + (9/12)^2 = 1/6 + (9/12)^2
Next, we express the left-hand side as a perfect square
(x^2 + 9/12)^2 = 1/6 + (9/12)^2
The form of the equation is given as:
(x + h)^2 = k
So, we have:
h = 9/12
k = 1/6 + (9/12)^2
Simplify
k = 1/6 + (3/4)^2
Evaluate the exponent
k = 1/6 + 9/16
This gives
k = (8 + 27)/48
Evaluate
k = 35/48
Hence, the value of h is 9/12 and the value of k is 35/48
Read more about completing the square at:
brainly.com/question/4331586
#SPJ1
Answer:
you can combine like term such as x or 2x, but not variables with different exponents like x and x squared.
Step-by-step explanation:
