Answer:
4/3
Step-by-step explanation:
Moving from (-4, -9) to (5, 3), x (the 'run') increases by 9 from -4 to 5, and y (the 'rise') increases by 12 from -9 to +3. Thus, the slope of the line connecting the two points is
m = rise / run = 12/9 = 4/3
It may help to think of the change in x (9) as the horizontal leg of a right triangle and the change in y (12) as the vertical leg. Then
m = (vertical leg length) / (horizontal leg length) = 12/9 = 4/3
Answer:
p = -5
Step-by-step explanation:
We might choose to write a recursive formula rather than an explicit formula to define a sequence because (D) the sequence is strictly geometric.
<h3>
What is a sequence?</h3>
- A sequence in mathematics is an enumerated collection of items in which repetitions are permitted and order is important. It, like a set, has members (also called elements, or terms).
- The length of the series is defined as the number of items (which could be infinite).
- Unlike a set, the same components can appear numerous times in a sequence at different points, and the order does important.
- Formally, a sequence can be defined as a function from natural numbers (the sequence's places) to the elements at each point.
- The concept of a sequence can be expanded to include an indexed family, which is defined as a function from an index set that may or may not contain integers to another set of elements.
Recursive formulas are commonly used to compute the nth term of a sequence, where a(n) is the sum of all the preceding values.
Using its position, explicit formulas can compute a(n).
Therefore, we might choose to write a recursive formula rather than an explicit formula to define a sequence because (D) the sequence is strictly geometric.
Know more about sequences here:
brainly.com/question/6561461
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Explanation : % is the symbol for percentage. It means out of 100. 75% means 75 out of 100 which is represented as 75/100.
She spent $9.
$16+$6 is $22, so the total $31 minus $22 leaves us with the $9 she spent for the taxi.
