<em><u>Question:</u></em>
Point R divides in the ratio 1 : 3. If the x-coordinate of R is -1 and the x-coordinate of P is -3, what is the x-coordinate of Q?
<em><u>Answer:</u></em>
x-coordinate of Q is 5
<em><u>Solution:</u></em>
Given that,
Point R divides in the ratio 1 : 3
Which means,
Point R divides the line segment PQ internally
The x-coordinate of the point which divides the line segment in ration m:n internally is given as:
Where,
= x-coordinate of point dividing the segment R = -1
= x-coordinate of P = -3
= x-coordinate of Q = ?
m : n = 1 : 3
m = 1
n = 3
Therefore,
Thus x-coordinate of Q is 5
Answer:
Hence, the price of single ticket is $70.
Step-by-step explanation:
Consider the provided equation.
As we know that: Profit = Income – Cost
Here, P(n) represents the fundraiser's profit (in dollars) and n represents the number of tickets sold and cost is 1500
Since, n is multiplied by 70 that represents the price of per ticket is $70.
Hence, the price of single ticket is $70.
Add 5 each time so A2 is going to be positive 1 A3 will be positive 6
N; n + 2 - the two consecutive even integers
n + 3(n + 2) = 46
n + 3n + 6 = 46 <em> |subtract 6 from both sides</em>
4n = 40 <em> |divide both sides by 4</em>
n = 10
n + 2 = 10 + 2 = 12
<u>Answer: 10 and 12.</u>
