Answer:
1/4
Step-by-step explanation:
The common ratio in a geometric sequence is the number you multiply to previous term to get the term after.
Dividing by a number is the same as multiplying by that 1/number.
So the common ratio here is 1/4.
This is a geometric sequence since you are able to find all the terms in this sequence by multiplying 1/4 to it's previous term.
Examples:
160(1/4)=40
40(1/4)=10
10(1/4)=10/4=2.5
2.5(1/4)=2.5/4=0.625.
Answer: its the third one try that
Step-by-step explanation:
Answer:
92 cm
Step by step explanation:
first: you divide the rectangle into two right angled triangles using the diagonal
secondly:
you use pythagoras theorem to find the width of the rectangle
110²= 60²+ w²
w²= 110²- 60²
w²= 12100- 3600
w²= 8500
w= 92.195
w= 92 cm
Let's solve this by substitution.
y is given by the 2nd eqn as y = (1/3)x + 7. Subst. (1/3)x + 7 into the first eqn as a replacement for y: x + 9( (1/3)x + 7) = 3.
clear out fractions by mult. all 3 terms by 3: 3x + 9x + 63 = 3
Combine like terms: 12x = -60. Then x = -5
Find y by subst. -5 for x in the 2nd equation: y = (1/3)(-5) + 7
= -5/3 + 35/3 = 30/3 = 10.
Thus, the solution (x,y) of this system is (-5,10).
