Answer: Line slopes:
m1= 3/2 defined by points (5,3) and (7,6)
m2= -2/3 defined by points (7,6) and (4,8)
m3 = 3/2 defined by points (4,8) and (2,5)
m4 = -2/3 defined by points (2,5) and (5,3)
All comply the orthogonal slopes rule (90º)
Step-by-step explanation:
As those 4 point define a polygon, to check is that polygon is a rectangle, you need to compare the slopes of the lines defined by the 4 points and check that accomplish the following rule:
m1 = -(1/m2). this shows that the slopes are intersected in 90º angle.
If x = # of quarters, then, the # of dimes will be equal to 2x. The total value (z) would be equal to:
z = 0.25x + 0.10(2x)
Then, since you switch the quarters and the dimes, and you have a new total, the resulting equation will be:
1.2 + z = 0.25(2x) + 0.10(x)
Plug in the values you know:
1.2 + (0.25x + 0.10(2x)) = 0.25(2x) + 0.10(x)
Solve for x:
1.2 + (0.25x + 0.20x) = 0.50x + 0.10x
1.2 + 0.45x = 0.60x
1.2 = 0.15x
x = 1.2/0.15 = 8
This means that there are 8 Quarters in her bag right now. So, the amount of dimes is just 2x which is 16. So your answer will be:
She has 8 Quarters and 16 Dimes in her bag right now. Or, $3.60.
If this doesn't make sense, then tell me. I have some resources where I got the answer from to put it into simplest terms. I have the website if you want.
Answer:
1) Star: (-5,9) 2) Lightning (0,8)
3) Circle: (4,-7) 4) Heart (-3,-8)
5) Cross (6,9) 6) Triangle (0,6)
7) Moon (-4,9) 8) Square (-4,6)
9) Diamond (-1,-4) 10) Music Note (8,1)
Step-by-step explanation:
The way that I solved this was I first set up (x,y). You must find the placement of the x-axis or the horizontal line. Then you find the 7-axis or the vertical line. For example, with the star, the shape is 5 to the left which is -5 and then goes 9 lines upward.
Answer:
O
Step-by-step explanation:
