Answer: The answer is in the attached figure.
Step-by-step explanation: We are given to draw a net for a rectangular prism of length 8 units, width 2 units and height 3 units.
What is a rectangular prism? It is a a solid three-dimensional object consisting of six faces, where each of the face is a rectangle. The same cross-section along a length of a rectangular prism makes it a prism. We also call it as a cuboid.
As given in the question, a rectangular prism ABCDEFGH is drawn in the attached figure, where length is 8 units, width is 2 units and height is 3 units.
the SAS similarity theorem
Answer:
999.99
Step-by-step explanation:
I just got took the test it is correct
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Answer:
D
Step-by-step explanation:
plug in (3,2) to see if it's a solution:
A) does -3(3) + 2 equal -7? yes
B) since 'A' is a solution then 'B' cannot be the answer
C) since (3,2) is a solution then 'C' cannot be the answer
plug in (2,-1) to see if it's a solution:
plug in (2,-1) to see if it's a solution:
-3(2) - (-1) equal -7? no, it equals -5
only (3,2) is a solution so the answer is D
To factor out you have to think what multiples to AC and adds to B.
Ax^2+Bx+C
So... for this problem AxC=1x-24 or -24
B is -2.
So what two numbers multiply to -24: -3x8, -8x3, -4x6, -6x4, -2x12, -12x2.
Out of these, which adds to -2: -6+4=-2.
So the factors are (d-6)(d+4)
OR the longer way, which you really only use if A is not equal to 1.
Use the terms above and then rewrite the equation with two middle terms: d^2+4d-6d-24
Group the terms by using addition: (d^2+4d)+(6d-24)
Find what they have in common and factor it out. For the first, it's d. They both have d. So: d(d+4)
To check this, distribute the d. It should equal the first set lf parenthesis.
For the second, they have a number in common. 6 is a multiple of 24 so you can take that out: -6(d+4)
If the terms inside the parenthesis are the same, that's good. It means we can pair the insides and the outsides together to form the factors.
The two terms outside the parenthesis: d, -6 group together and become (d-6)
The inside terms stay the same: (d+4)
(d-6)(d+4)
Again, this is the longer way and no necessary for a problem like this. But if it was 2d^2, then this would be perfecf.