The correct answer is C, Nigel read fewer pages than Lucas, because 13 is less than 49
X^2 + y^2 - 2x + 7y + 1 = 0
(x^2 - 2x) + (y^2 + 7y) + 1 = 0
(x^2 - 2x + 1) + (y^2 + 7y) + 1 = 0+1
(x^2 - 2x + 1) + (y^2 + 7y + 49/4) + 1 = 0+1+49/4
(x - 1)^2 + (y + 7/2)^2 + 1 = 0+1+49/4
(x - 1)^2 + (y + 7/2)^2 + 1-1 = 0+1+49/4-1
(x - 1)^2 + (y + 7/2)^2 = 49/4
(x - 1)^2 + (y + 7/2)^2 = (7/2)^2
The final answer is choice B
The original length of AB is 7.62. If we dilate it with the scale factor 2, the length will be 15.23.
The slope of the line remains the same even if we dilate it, so it will remain 0.43.
(y2-y1/x2-x1)
Explanation: The answers are taken from by solving on the graph
Answer: 26
=======================================
Explanation:
Jump to the last part of the question where it asks "how many pounds of type A coffee were used?". Since this is the goal we want to reach, let's make x the amount of type A used (in pounds).
This means that 3*x pounds of coffee were used for type B, since 3 times as much type B was used as type A. Example: if you use 2 pounds of type A, then you'll have 6 pounds of type B.
Type A costs 4.45 dollars per pound. If you use up x pounds of it then it costs a total of 4.45*x dollars. Type B costs 5.80 dollars per pound and if you use 3*x pounds, then it costs you 5.80*3x = 17.40x dollars. The total cost of both types is going to be 4.45x+17.40x = 21.85x dollars.
Set this equal to 568.10 and divide both sides by 21.85 to isolate x
21.85x = 568.10
21.85x/21.85 = 568.10/21.85
x = 26
We used 26 pounds of type A coffee