Hi, to begin, the ordered pair value (-3, 15) has an x-value of -3. So, to see if it lies on the line of your equation y = 6x + 11, plug -3 in for x. This gives you y = 6(-3) + 11 = -7 So the ordered pair answer for this would be (-3, -7) and not (-3, 15). So the answer is no.
Answer:
7 and 8
Step-by-step explanation:
![{x}^{2} + 7x + 12](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%207x%20%2B%2012)
(x+3)(x+4)
![{x}^{2} + 8x + 12](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%208x%20%2B%2012)
(x+2)(x+6)
The third angle should be 83.
90+7+83=180
We can find the midpoint of any line segment using the midpoint formula: M=(x1+x2/2,y1+y2/2). Essentially, the midpoint formula finds the average of two points. If we use B and the first point and C as the second, when we plug in our values we would have M=(5-4/2,9-5/2). This can be simplified to M=(1/2,4/2) or M=(1/2,2) which is the final answer.
I hope this helps.
Answer:
100 packets
Step-by-step explanation:
Given :
Cost = fixed cost + variable cost
Fixed cost = $500
Variable cost = $10
Sales price = $15
Let :
Number of packets = x
To break even :
fixed cost + variable cost = sales made
500 + 10x = 15x
500 = 15x - 10x
500 = 5x
x = 500 / 5
x = 100
100 packets