Answer:
The Answer is P = (-2.5 , 1 )
Step-by-step explanation:
Let, the point is P(x,y)
then, 
=>
∴
Again, 
=>
∴
Thus, P = (-2.5 , 1 )
A. The cost of no bags of kettle corn. With no bags, there will be no cost.
<h3>
Answer: 29.5 degrees</h3>
==============================================
Explanation:
Add up the arc measures and divide by 2 to get the angle formed by the two chords.
angle AOB = (arc AB + arc CD)/2
angle AOB = (34 + 25)/2
angle AOB = 59/2
angle AOB = 29.5 degrees
Answer:
<u>The number of pens = 120 and the number of pencils = 200</u>
Step-by-step explanation:
Let the number of pens x, and the number of pencils is y
the cost of one pen $1, and the cost of one pencil $0.5
The cost of the whole purchase was $220
1 * x + 0.5 * y = 220
x + 0.5 y = 220 ⇒ eq.(1)
there were 80 more pencils than pens
y - x = 80 ⇒ eq.(2)
from eq.(2) x = y - 80
By substitution with x from the last equation at eq.(1)
∴ (y - 80) + 0.5 y = 220
1.5y = 220 + 80 = 300
y = 300/1.5 = 200
x = y - 80 = 200 - 80 = 120
<u>So, the number of pens = 120 and the number of pencils = 200</u>
