GCF generally stands for Greatest Common Factor. It's a slightly odd phrasing in this question, but I think the point is that there is a factor, which might be a variable, or a number greater than 1, or a product of such factors, common to all the terms of the polynomial.
48 degrees remains
divide minutes by 60
36/60 = 0.6
then divide seconds by 3600
12/3600=0.003 ( to nearest thousandth)
now add them all up
48 +0.6 + 0.003 = 48.603 degrees
It is the cube root of 756
^3 and cube root are inverse functions
So the larger number is x, and the smaller number is y
7y=x
3x=7+4y
(So plug in the 7y=x information into the second equation)
3(7y)=7+4y
21y=7+4y
17y=7
y=7/17
Answer:
<em>x = 1 and -2</em>
<em>Sum of the first ten terms = 1,398,100</em>
Step-by-step explanation:
Given the geometric progression 2x+2, 16, 64x...
Since they are in GP, their common ratio is expressed as;
16/2x+2 = 64x/16
16/2(x+1) = 4x
8/x+1 = 4x
Cross multiply
4x(x+1) = 8
4x²+4x = 8
4x²+4x - 8 = 0
divide through by 4
x²+x - 2 = 0
Factorize
x²+2x-x- 2 = 0
x(x+2)-1(x+2) = 0
(x-1)(x+2) = 0
x = 1 and -2
Hence the values of x are 1 and -2
Get the common ratio;
r = 16/2x+2
Since x = 1
r = 16/2(1)+2
r = 16/4
r = 4
Sum of the first n terms is expressed as;
Sn = a(rⁿ-1)/r-1
a = 2x+2
a = 2(1)+2
a = 4
Substitute;
S10 = 4(4^10 - 1)/4 - 1
S10 = 4(1,048,576-1)/3
S10 = 4,194,300/3
S10 = 1,398,100
Hence the sum of the first ten terms is 1,398,100
