5x15, 3x25 because 30+45=75 and both 5x15 and 3x25 equal 75
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:
Step-by-step explanation:
We need to find the LCM of 12 and 9.
<u>Their LCM is:</u>
- LCM(12, 9) = 2*2*3*3 = 36
Number of light fixtures and light bulbs is 36.
<u>Number of packages will be:</u>
- 36/12 = 3 and
- 36/9 = 4 respectively.
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Answer:
y + 7 = - 
(x - 1)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
Where m is the slope and (a, b) a point on the line
Here m = - and (a, b) = (1, - 7), thus
y - (- 7) = - (x - 1), that is
y + 7 = - (x - 1) ← in point- slope form
