Answer: The answer is (D) 
Step-by-step explanation: Given that there is a rectangle, where length of the rectangle is given by
and width of the rectangle is given by
We are to find the perimeter of the rectangle. To do so, we need to add two times length with two times breadth of the rectangle.
Therefore, perimeter is given by
Thus, the correct option is (D).
(0, -3)(2, -2)
slope = (-2 + 3)/(2-0) = 1/2
b = -3
equation
y = 1/2x - 3
answer is A
<span>y = 1/2x - 3</span>
You could cross cancel the a and your final answer would be 5/11
Answer:
10 boys, 15 girls
Step-by-step explanation:
Original ratio: 2 boys/3 girls
let x be the scale factor of the ratio
2x plus 5 boys over 3x girls = 1 (because the # of boys/girls are the same)-------> 2x+5/3x = 1
Simplify: 2x+5=3x
Simplify: 5=x
plug x back into the original ratio: 10/15
Check: 10/15 = 2/3
10 boys + 5 boys = 15, 15/15 = 1
Answer:
a_n = 3^(n -1)
Step-by-step explanation:
The n-th term of a geometric sequence with first term a1 and common ratio r is given by ...
a_n = a1·r^(n-1)
Your sequence has first term 1 and ratio r=3, so the sequence is given by ...
a_n = 3^(n -1)
_____
<em>Comment on sequences and series</em>
The sequences we commonly study are "arithmetic" and "geometric." Each of these has an explicit formula for the n-th term, based on the first term and the common difference or ratio. Similarly, each series (sum of terms of a sequence) also has a formula. That's 4 formulas to keep track of; not difficult. One of them, the formula for the n-th term of a geometric sequence, is shown above.
