Answer: -4, -2
Step-by-step explanation: The formula for a 180 degree counterclockwise rotation is x,y -> -x, -y. You change the sign for both numbers, so they both become negative.
Hope this helped!
Answer:
156 cm²
Step-by-step explanation:
Area of Triangle
= 1/2 * b * h
= 1 /2 * (17 - 9) * 12
= 6 * 8
= 48 cm²
Now
Area of parallelogram
= b * h
= 9 * 12
= 108 cm²
Total area
= (48 + 108) cm²
= 156 cm²
First, work out how much you need to add to A's x and y coordinates in order to get to point B from point A.
So (using Ax to mean x-coordinate of A, Ay the y-coordinate of A, etc):
x-difference = Bx - Ax = 3 - (-3) = 3 + 3 = 6
y-difference = By - Ay = 5 - 1 = 4
Now, if the point divides the segment AB in the ratio 2:3, then it is 2/(2+3) of the way along the line AB.
i.e. it is 2/5 of the way along the line AB.
We therefore need to add 2/5 of the x- and y-differences to point A to get point p:
px = Ax + (2/5)*(x-difference) = -3 + (2/5)*6 = -3 + 12/5 = -15/5 + 12/5 = -3/5 = -0.6
py = Ay + (2/5)*(y-difference) = 1 + (2/5)*4 = 1 + 8/5 = 5/5 + 8/5 = 13/5 = 2.6
Therefore coordinates of p are (-0.6, 2.6)
First cross-multiply 48×2= 96
Next do 96÷3= 32
So the answer should be 32.
Answer:
She now has 84 nickles. :)
Step-by-step explanation:
40+44=84
