Answer:
(2, -4)
Step-by-step explanation:
If you reflect it back over y = -x, this is the point you get.
Remember:
x/y times z/t=(xz)/(yt) and
x/y+z/y=(x+z)/y
conver the bottom number to the same number as the 21/100 or convert 10 to 100
obviously multiply by 10
but msut multiply by 1 to keep same value
remember that 10/10=1 so
multiply 3/10 by 10/10
3/10 times 10/10=30/100
so add
30/100+21/100=(30+21)/100=51/100
Answer:
Dimensions: 0.4 by 3.2 by 1.2
Step-by-step explanation:
I'm assuming here that we are cutting out squares out of each of the metal's corners:
Let x = the length of each cut-out square,
Each base (of the desired net square folded) is 4-2x, and 2-2x respectively,
Volume = x(4-2x)(2-2x)
= 4x^3 - 12x + 8x
Now we take the derivative:
We equate to 0 (0 for max volume), and solve using the quadratic formula:
So we approximate the side lengths to be 1.6 and 0.4 respectively. But when we plug in 1.6 for x, we get the volume as negative. Therefore x has to be 0.4.
Side lengths: 0.4, 4-2(0.4) => 3.2, 2-2(0.4) => 1.2
Try googling this it will give you some examples and definitions.
https://mathbitsnotebook.com/Geometry/SegmentsAnglesTriangles/SATTriangleTypes.html