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Ostrovityanka [42]
3 years ago
11

I need help on 12 and 16

Mathematics
1 answer:
krok68 [10]3 years ago
7 0
12. A trapezoid is a quadrilateral. It has 4 sides


16. Two parallelograms. Two sides opposite of each other will be parallel to each other. The same is true with the other two sides. (length and width)
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(−t 4 −5t 3 −10t 2 )+(9t 3 +3t 2 −1)
klemol [59]

Answer:

\left(-t^4-5t^3-10t^2\right)+\left(9t^3+3t^2-1\right)=-t^4+4t^3-7t^2-1

Step-by-step explanation:

Given the expression

\left(-t^4\:-5t^3\:-10t^2\:\right)+\left(9t^3\:+3t^2\:-1\right)

Remove parentheses:  (a)=a

=-t^4-5t^3-10t^2+9t^3+3t^2-1

Group like terms

=-t^4-5t^3+9t^3-10t^2+3t^2-1

Add similar elements        

=-t^4-5t^3+9t^3-7t^2-1         ∵ -10t^2+3t^2=-7t^2

Add similar elements        

=-t^4+4t^3-7t^2-1                  ∵  -5t^3+9t^3=4t^3

Thus, the equivalent expression in simplified form:

\left(-t^4-5t^3-10t^2\right)+\left(9t^3+3t^2-1\right)=-t^4+4t^3-7t^2-1

4 0
3 years ago
The firefighter needs to drive 3 miles in 3 minutes. How fast should the firefighter drive?​
fiasKO [112]

Answer:

60 MPH

Step-by-step explanation:

6 0
2 years ago
Write out steps on how to solve 21.4divided by 4.75
Natasha_Volkova [10]

Answer:

Step-by-step explanation:

21.4÷4.75

  • First- you have to move the decimal placement two times to the right
  • Second- you have to put the number 21.4 under the dividing box
  • Third- put the number 4.75 out to the left of the decimal box
  • Fourth- when that's all completed you have to multiply the 475. until you get clos to the number 2140.
  • Fifth- once done you have to subtract the multiplied number that you get you then subtract it from 2140
  • Sixth- you keep on doing the fifth step until you get a reasonable answer
  • Seventh- you write the answer down
  • Eighth- there is no eighth step so you can stop reading this answer

Your welcome from Stonestreet181 and have a good day

4 0
3 years ago
Can you please help? Thank you...
solmaris [256]
The answer to the question

4 0
3 years ago
[Systems of equations] (/20) 1. Suppose the coefficient matrix of a system of linear equations has a pivot position in every row
Marina86 [1]

Answer:

The system is consistent because the rightmost column of the augmented matrix is not a pivot column.

Step-by-step explanation:

It is given that the coefficient of the matrix of a linear equation has a pivot position in every row.

It is provided by the Existence and Uniqueness theorem that linear system is said to be consistent when only  the column in the rightmost of the matrix which is augmented is not a pivot column.

When the linear system is considered consistent, then every solution set consists of either unique solution where there will be no any variables which are free or infinitely many solutions, when there is at least one free variable. This explains why the system is consistent.

For any m x n augmented matrix of any system, if its co-efficient matrix has a pivot position in every row, then there will never be a row of the form [0 .... 0 b].

6 0
3 years ago
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