A geometric sequence is a sequence in which there is a common ratio between any two consecutive terms. In this case if X:Y:Z are in the ratio of 2:7:8 the multiplying by a constant k, we have X=2k, Y= 7k and Z=8k.
Then if X, Y-12, Z form a Geometric sequence, it means X/Y-12=Y-12/Z which is the same as 2k/7k-12=7k-12/8k if we cross multply, we get
16k²= 49k²-168k +144
33k²-168k+144 =0 solving for k
k = 4 or 1.091 if we take the whole number to find the values of X,Y and z,
X= 8, Y= 28 and Z=32
Answer: C
Step-by-step explanation:
To factor a trinomial, you need to multiply 'a' and 'c' and see what two number add to equal 'b' but also multiply to equal the product of 'a' and 'c'.
So, what two numbers multiply to equal 16 but simultaneously add to equal 8?
That is +4 and +4. Instead of writing (x+4)(x+4), you can write (x+4)^2, or answer C.
150; because 6-11 is almost 180, but it’s not quite there, so it’s a little less
10 Lima beens
8 red beans
2 black-eyed beans
Answer:
The highest recorded temperature in colorado is 118 degrees F.
Step-by-step explanation:
We have to model this problem initially.
I am going to call the highest recorded temperature in Colorado x.
The highest recorded temperature in hawaii is 100 degrees F. The highest recorded temperature in colorado is 18 degrees higher than that of hawaii.
This means that x is 18 added to 100. So
The highest recorded temperature in colorado is 118 degrees F.
