1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Gre4nikov [31]
2 years ago
11

Find the area of the trapezoids

Mathematics
1 answer:
IceJOKER [234]2 years ago
3 0
16 would be the answer.
You might be interested in
Which set of ordered pairs does not represent a function?
Solnce55 [7]

Answer: The last

Step-by-step explanation: 2 of the x values are the same

6 0
1 year ago
Read 2 more answers
Consider the linear transformation T from V = P2 to W = P2 given by T(a0 + a1t + a2t2) = (2a0 + 3a1 + 3a2) + (6a0 + 4a1 + 4a2)t
Svet_ta [14]

Answer:

[T]EE=\left[\begin{array}{ccc}2&3&3\\6&4&4\\-2&3&4\end{array}\right]

Step-by-step explanation:

First we start by finding the dimension of the matrix [T]EE

The dimension is : Dim (W) x Dim (V) = 3 x 3

Because the dimension of P2 is the number of vectors in any basis of P2 and that number is 3

Then, we are looking for a 3 x 3 matrix.

To find [T]EE we must transform the vectors of the basis E and then that result express it in terms of basis E using coordinates and putting them into columns. The order in which we transform the vectors of basis E is very important.

The first vector of basis E is e1(t) = 1

We calculate T[e1(t)] = T(1)

In the equation : 1 = a0

T(1)=(2.1+3.0+3.0)+(6.1+4.0+4.0)t+(-2.1+3.0+4.0)t^{2}=2+6t-2t^{2}

[T(e1)]E=\left[\begin{array}{c}2&6&-2\\\end{array}\right]

And that is the first column of [T]EE

The second vector of basis E is e2(t) = t

We calculate T[e2(t)] = T(t)

in the equation : 1 = a1

T(t)=(2.0+3.1+3.0)+(6.0+4.1+4.0)t+(-2.0+3.1+4.0)t^{2}=3+4t+3t^{2}

[T(e2)]E=\left[\begin{array}{c}3&4&3\\\end{array}\right]

Finally, the third vector of basis E is e3(t)=t^{2}

T[e3(t)]=T(t^{2})

in the equation : a2 = 1

T(t^{2})=(2.0+3.0+3.1)+(6.0+4.0+4.1)t+(-2.0+3.0+4.1)t^{2}=3+4t+4t^{2}

Then

[T(t^{2})]E=\left[\begin{array}{c}3&4&4\\\end{array}\right]

And that is the third column of [T]EE

Let's write our matrix

[T]EE=\left[\begin{array}{ccc}2&3&3\\6&4&4\\-2&3&4\end{array}\right]

T(X) = AX

Where T(X) is to apply the transformation T to a vector of P2,A is the matrix [T]EE and X is the vector of coordinates in basis E of a vector from P2

For example, if X is the vector of coordinates from e1(t) = 1

X=\left[\begin{array}{c}1&0&0\\\end{array}\right]

AX=\left[\begin{array}{ccc}2&3&3\\6&4&4\\-2&3&4\end{array}\right]\left[\begin{array}{c}1&0&0\\\end{array}\right]=\left[\begin{array}{c}2&6&-2\\\end{array}\right]

Applying the coordinates 2,6 and -2 to the basis E we obtain

2+6t-2t^{2}

That was the original result of T[e1(t)]

8 0
3 years ago
A Web music store offers two versions of a popular song. The size of the standard version is 2.7 megabytes (MB). The size of the
Effectus [21]
310 is your answer. hopefully this helps :)
5 0
3 years ago
Find the volume of the given solid. under the surface z = 5xy and above the triangle with vertices (1, 1), (4, 1), and (1, 2)
Black_prince [1.1K]
So right now you see that you have x and y intercept right? Then plug those intercepts in equation that you have and solve for z. Which means z=5(1)(1) will be 5, 5(4)(1) will be 20, and 5(1)(2) will be 10. So, overall you have 5, 20, 10.
8 0
3 years ago
What is a formula for the nth term of the given sequence?<br> 20,50, 125...
loris [4]

Answer:

a(n) = 20*2.5^(n - 1)

Step-by-step explanation:

Note that 50 is 2.5 times 20, and that 125 is 2.5 times 50.  Thus the common factor is 2.5.  The formula for the nth term is

a(n) = a(1)*r^(n - 1)  => a(n) = 20*2.5^(n - 1)

3 0
3 years ago
Other questions:
  • When their child was born, her parents invested $40,000 in a plan guaranteed to increase by 3% per year. The logarithmic functio
    14·1 answer
  • Anya is creating a triangle using three straws. The two shorter straws have lengths of 20 cm and 21 cm. How long in centimeters
    10·1 answer
  • It's geometry, not really sure what to do
    5·1 answer
  • Convert 3/20 to a percent.
    13·2 answers
  • A manufacturer keeps track of her monthly costs by using a cost function this assigns a total cost for a given number of manufac
    10·1 answer
  • Can anyone help me? Thank you! ^-^​
    8·1 answer
  • Right and solve a proportion to answer the question 3/4 is 75% of what number
    6·1 answer
  • Eva earned the following test scores in science: 82, 100, 96, 90, 91 Ms. Wade entered the next score as 0 because Eva was absent
    15·2 answers
  • What is 15 percent 0f 75
    10·2 answers
  • The front and back sides are both triangles, explain why you arent going to divide the base x height by 2.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!