Answer:
x=60
Step-by-step explanation:
Given that ,
HCF of 140 and x=20,
LCM of 140 and x =420.
Solution:
It is known that the product of two numbers is equal to the product of their HCF and LCM, i-e:
140*x= HCF*LCM
Putting in the values provided,
140*x=20*420
140*x=8400
x=8400/140
x=60
Hence the variable x is 60.
Given :
A water well rig has dug to a height , H = 60 feet after one full day of continuous use .
To Find :
If the height is currently 143.6 feet how time it been running .
Solution :
It is given that height after 24 hours of use is 60 feet .
So , height loose in 1 hours is :

Now , time taken to cover a height of 143.6 feet is :

Therefore , time taken is 57.44 hours .
Hence , this is the required solution .
Answer:
Both are quadrant
Step-by-step explanation:
Answer:

Step-by-step explanation:
Hello, the Conjugate Roots Theorem states that if a complex number is a zero of real polynomial its conjugate is a zero too. It means that (x-4i)(x+4i) are factors of f(x).

The coefficient of the leading term is 1 and the constant term is -240 = 16 * (-15), so we a re looking for a real number such that.

We identify the coefficients for the like terms, it comes
a = -2 and 16a = -32 (which is equivalent). So, we can write in
.

The sum of the zeroes is 2=5-3 and their product is -15=-3*5, so we can factorise by (x-5)(x+3), which gives.

And we can write in 

Hope this helps.
Do not hesitate if you need further explanation.
Thank you