Which of the following expression is equivalent to 6x2−13x−28
1 answer:
Answer:
I, III and IV
Step-by-step explanation:
Required
Determine equivalent expressions to
To do this, we simplify each of the given options.
Simplify like terms
<em>This is equivalent to the given expression</em>
<em></em>
Open Bracket
Collect Like Terms
<em>This is not equivalent to the given expression</em>
Open Bracket
Simplify Like Terms
<em>This is equivalent to the given expression</em>
Open Brackets
Simplify like terms
<em>This is equivalent to the given expression</em>
<em></em>
<em>Hence: I, III and IV are equivalent to the given expression</em>
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If A and B are equal:
Matrix A must be a diagonal matrix: FALSE.
We only know that A and B are equal, so they can both be non-diagonal matrices. Here's a counterexample:
Both matrices must be square: FALSE.
We only know that A and B are equal, so they can both be non-square matrices. The previous counterexample still works
Both matrices must be the same size: TRUE
If A and B are equal, they are literally the same matrix. So, in particular, they also share the size.
For any value of i, j; aij = bij: TRUE
Assuming that there was a small typo in the question, this is also true: two matrices are equal if the correspondent entries are the same.
Answer:
<h2>The area of the base is 144 square inches.</h2><h2>The area of each triangular face is 66 square inches.</h2><h2>Grabiel needs 408 square inches of paint.</h2>Step-by-step explanation:
The complete problem is attached.
Notice that the figure is a square pyramid, where its base dimensions are 12 inches by 12 inches, which represents an area of
The slant height of the pyramid is 11 inches, which allow us to find the area of each triangle face
But there are four triangle faces, so .
Therefore, the area of each triangular face is 66 square inches.
So, the total surface area would be the sum
Therefore, Gabriel needs 408 square inches to paint the whole model.
