Answer:
Yes, this is a translation which doesn't change the pre-image size
Step-by-step explanation:
Answer:
ok so this problem you are basically just rearranging it. you're going to want y by itself.
Step-by-step explanation:
let's start with the original equation: 5-y=1/3x +12
so first you have to move the five over, so you subtract 5 from both sides. -y=1/3x+12-5
then you subtract the 5 from the twelve since they're like terms: -y=1/3x+7
and finally you have to move the negative over. when you move the negative think of it like dividing negative one from both sides, everything on the other side has to get the negative.
so we're left with y=-1/3x-7
I hope this helps!
Answer:
42
Step-by-step explanation:
In short, the sum of the opposite areas are equal.
x + 30 = 24 + 48
x = 42
To prove this, draw a line from each corner to the "center" where the four lines meet. Along each side of the square are two triangles. These triangles have the same base and the same height, and therefore have the same area.
If we say the triangles at the bottom have area a, the triangles on the left have area b, the triangles on top have area c, and the triangles on the right have area d, then we can write 4 equations:
a + b = x
b + c = 24
c + d = 30
a + d = 48
Adding the first and third equations:
a + b + c + d = x + 30
Adding the second and fourth equations:
a + b + c + d = 24 + 48
Therefore:
x + 30 = 24 + 48
x = 42
You need the starting point and the end point and count how long it took to get to one point to the either
