Answer:
negative
Step-by-step explanation:
The graph has a negative slope because the line is pointing downwards.
You can check your answer numerically using the slope formula (y2 - y1 divided by x2 - x1) and substituting with two coordinates on the line.
For example:
(x1, y1)
(x2, y1)
y2 - y1
----------
x2 - x1
Solve by subtracting the numerator and denominator, then divide.
Answer:
is 6
Step-by-step explanation:
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D/12=6/16 multiply both sides by 12
d=72/16
d=9/2
d=4.5
Answer:
This is a convergent geometric series. The sum is 30.
Step-by-step explanation:
In your series, the ratio of terms is 3/5, a value whose magnitude is less than 1. That means the series is convergent. The sum is given by the formula ...
S = a1/(1 -r)
where a1 is the first term (12) and r is the common ratio (3/5). This gives ...
S = 12/(1 -3/5) = 12·5/2 = 30
The series is convergent and has a sum of 30.
2 goes into both numbers, so divide both by 2;
10 ÷ 2 = 5
42 ÷ 2 = 21
so 10/42 in simplest form is: 5/21