10. Write an expression in simplified form to
represent the area of the trapezoid.

10. Write An Expression In Simplified Form Torepresent The Area Of The Trapezoid.

Answers

Answer 1

Answer:

48[tex]x^{7}[/tex]y

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the height and b₁, b₂ the parallel bases , then

A = [tex]\frac{1}{2}[/tex] × 4[tex]x^{5}[/tex] × (9x²y + 15x²y )

   = 2[tex]x^{5}[/tex] × 24x²y

   = 48[tex]x^{7}[/tex]y

Answer 2

The simplified expression for the area of the trapezium is 30[tex]x^7y[/tex] + 18[tex]x^7[/tex][tex]y[/tex].

What is trapezium?

A trapezium is a quadrilateral with four sides where two sides are parallel to each other.

We have,

Trapezium.

Height = 4[tex]x^5[/tex]

Parallel sides are 15x²y and 9x²y.

The area of the trapezium.

= 1/2 x h x ( sum of the parallel sides )

Now,

Area of the trapezium.

= 1/2 x 4[tex]x^5[/tex] x (15x²y + 9x²y)

= 2[tex]x^5[/tex] x (15x²y + 9x²y)

= 30[tex]x^7y[/tex] + 18[tex]x^7[/tex][tex]y[/tex]

Thus,

The area of the trapezium is 30[tex]x^7y[/tex] + 18[tex]x^7[/tex][tex]y[/tex].

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Related Questions

Consider the function p(t) show.identify the intervals on which the function appears to be in increasing

Answers

Answer:A

Step-by-step explanation:

70 of the rooms in a hotel are full if the hotel is 87.5% full then how many total rooms are there at this hotel

Answers

Answer:

80 rooms

Step-by-step explanation:

Given: 70 of the rooms in a hotel are full such that the hotel is 87.5% full.

To find: total number of rooms in the hotel

Solution:

Number of filled rooms [tex]=70[/tex]

Percentage if filled rooms [tex]=87.5\%[/tex]

Let [tex]x[/tex] denotes total number of rooms.

Therefore,

[tex]\frac{87.5}{100}x=70\\\\x= 70(\frac{100}{87.5} )\\\\x=80[/tex]

So, there are [tex]80[/tex] rooms in the hotel.

Write an equation that models this situation. Anna wants to give each of the 12 friends who attend her birthday party 5 chocolate truffles. How many chocolate truffles (x) does Anna need?

A. 5/x = 12

B.5x = 12

C.x/5 = 12

D. x + 5 =12

Answers

The answer is B. 5x = 12

help me plzz. Thank you guys!!!!!!

Answers

Answer:

C. The y-intercepts of the two functions are opposites.

Step-by-step explanation:

The y-intercept of g(x) is -1 and the y-intercept of h(x) is 1. -1 and 1 are opposites, so the two y-intercepts are also opposites.

-6x+5y=1
6x+4y=-10 that’s my question

Answers

Answer:

y = -1

x = -1

Step-by-step explanation:

Hello,Can someone please help me please please I really really need help please help me I really need help

Answers

Answer: (25, 1) ? i'm not sure what the question is.

Step-by-step explanation:

Answer:

option 3

Step-by-step explanation:

Avery walked for 0.25 miles in 5 minutes. Then she stopped for 5 minutes to meet her friend.After that both of them walked 0.75 miles in 15 minutes.

Again this option is also correct.

Avery walked for  5 minutes at a pace of 20 minutes per mile. Then she stopped for 5 minutes to meet her friend.After that both of them walked for 15 minutes at a pace of 20 minutes per mile.

Because, Time taken to travel 1 mile is 20 minutes.

So, time taken to travel 0.25 miles = 20 * 0.25 = 5 minutes

Time taken to travel 0.75 miles = 20 * 0.75 = 15 minutes

Right trianglessssssssss

Answers

E = (4, 4), F = (8, 7), C = (12, 10), B = (0, 1)

a)   run: 4   rise: 3   slope: 3/4

b)   run: 12  rise: 9   slope: 3/4

c)   they are equal because the two triangles are similar

3) On a map of the U.S.,
Phoenix, AZ. is located at
(7,4.5) and Las Vegas,
NV. is located at (8.5, 18).
Each unit on the map
equals 19.5 miles. What
is the approximate
distance between the two
cities?

Answers

Answer:

55

Step-by-step explanation:

ebbjsb c jv  djcbvbbf hdcndjv  dbvndjv dhvjbd djbvdj

I bet help wit this please​

Answers

I believe it is 5 percent


100/140= .71
.71x7= 5

Can you solve this for me pleasee
Solve 18- m=6

Answers

Answer:

m = 12

Step-by-step explanation:

Given

18 - m = 6 ( subtract 18 from both sides )

- m = - 12 ( multiply both sides by - 1 )

m = 12

help please!! ill give brainliest :)

Answers

The answer would be 1.85+x=5.30

The radius of a circle is 3.5 m. Find the circumference to the nearest tenth.

Answers

Answer:

21.99 but you have to round it

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

yes

I need help with this question

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Answer:

Put the thing at the 6 going forward. The inequality would be w>6

Step-by-step explanation:

if someone can guess my fav anime i'll give em brainliest:)

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Answer:

can I ask a question?

is it an mammal or a reptile ?

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Is he from hunter X hunter

The radius of a circle measures 9 inches what is the measure of the diameter
O 4.5 inches
O 18 inches
O 20.25 inches
O 81 inches

Answers

18 inches
R= 9
D= 9 x 2
D=18

During the soccer season, Brielle scored 7 more goals than Olivia. Together they scored 39 goals.
What was Brielle's score?

Answers

Answer:

32.

Step-by-step explanation:

39 - 7 = 32

32 + 7 = 39

Brielle scored 32 points.

I hope this helped! :) Have a nice day.

10. Which representation of a transformation on a coordinate grid does not preserve orientation? A. (x, y) → (4x, 4y) A. , , , , , , x... Y... Symbol... 4 x... 4 y, , B. (x, y) → (−y, x) B. , , , , , x... Y... Symbol... Negative y... X, , , , , C. (x, y) → (14x, 14y) C. , , , , , x... Y... Symbol... 1 over 4x... 1 over 4y, , , , , D. (x, y) → (x, −y) D. , x... Y... Symbol... X... Negative y, , , , ,

Answers

Answer:

D. (x, y) → (x, −y)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

The orientation shows how an object is arranged. Rotation, translation and dilation preserves orientation while reflection does not preserve orientation.

The transformation (x, y) → (4x, 4y) shows the dilation by a scale factor of 4. Dilation preserve orientation.

The transformation (x, y) → (−y, x) shows the rotation of a point 90 degrees counterclockwise. Rotation preserve orientation.

The transformation (x, y) → (14x, 14y) shows the dilation by a scale factor of 14. Dilation preserve orientation.

The transformation (x, y) → (x, −y) shows a reflection over the x axis. Reflection does not preserve orientation.

A student tries to solve the equation 2(x-7)+x-9. The student work is shown to the right describe the errors. Then solve the equation correctly

Answers

Answer: 3x - 23

Step-by-step explanation:

To solve the equation goes thus:

= 2(x-7)+x-9.

We have to open the bracket first

= 2x - 14 + x - 9

We then collect like terms

= 2x + x - 14 - 9

= 3x - 23

Therefore, the answer is 3x - 23

What is the value of 6x+7y−5 when x = 2 and y = 3?

Answers

Answer:

28

Step-by-step explanation:

6(2) + 7(3) - 5

12 + 21 -5

It's a good idea to get into the habit of using parenthses

when substituting numbers in for variables.

Since x = 2 and y = 3, 6x + 7y - 5 is 6(2) + 7(3) - 5.

Simplifying from here, we get 12 + 21 - 5 or 33 - 5 which is 28.

The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal
costs $78.86 before the discount, and they leave a 20% tip. If the tip applies to the cost of
the meal before the discount, what is the total cost of the meal? Round your intermediate
calculations and answer to the nearest cent.

Answers

Answer: $80.44

Step-by-step explanation:

First of all, find 20% of 78.86, which is approximately 15.77.

Then, add it to the cost of the meal.

Finally, discount 15% of 94.63, which is approximately $14.19, and then subtract it from $94.63, and there's your answer.

20 points. I’m struggling with this part, and pls explain so I can understand and do it by my self in the next page.

Directions: Rewrite each expression in simplest form. Remember: no radicals in the denominator.



Answers

For the first 3 you just have to divide (forget about the square root for now) and then reduce its result by finding two numbers (one of them have to be able to be squared rotted) that multiplied gives the fist result. Then you just have to square root one of the numbers and leave the other one as it is.

For the last 4; you cannot have radicals in the denominator, so you have to multiply both top and bottom by the square root, after that you just reduce.

Hope you understand, if you have any questions please let me know.

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Answers

Answer:

Step-by-step explanation:

0 quarter = 20 dimes

dime to quarter = divide by 20

quarter to dime= multiply by 20

4 quarters = ? dimes

4 x 20 = 80 dimes

0 dimes = ? quarters

0/20 = 0 quarters

5 dimes = ? quarters

5/20 = 0.25 quarters

Answer: SORRY I WISH I CAN HELP YOU BUT PLZ DON´T GET MAD PLZ

Step-by-step explanation:

BUT I DID FIGURE THE FIRST ANSWER IS 13

One angle of a right triangle measures 34°. What is the measure of the other acute angle?

Answers

Answer:

Step-by-step explanation: one has to be 90 degrees, so 34 plus 90. The angles of a triangle always add up to 180 so, subtract the answer of 34 plus 90 from 80 and you should get the answer.

Can you guys please help me with this problem

Answers

Answer: 108 just add them

Step-by-step explanation:

What’s the greatest common factor between 13,65, and 169

Answers

Answer:

gcf, hcf, gcd (65; 169) = 13: greatest (highest) common factor (divisor), calculated. The numbers have common prime factors.

Answer:

13 Hope this helps :)

Scottie is standing next to a lighthouse on the edge of a cliff overlooking the ocean. The cliff is 30 meters above sea level, and the lighthouse has a height of 15 meters. There is a man fishing in a boat directly below Scottie who has hooked a fish that is 10 meters below the surface of the water. ​ ​a. Use positive and negative numbers to represent the locations in relation to sea level. ​Scottie =

Answers

Complete question :

Scottie is standing next to a lighthouse on the edge of a cliff overlooking the ocean. The cliff is 30 meters above

sea level, and the lighthouse has a height of 15 meters. There is a man fishing in a boat directly below Scottie who

has hooked a fish that is 10 meters below the surface of the water.

a. Use positive and negative numbers to represent the locations in relation to sea level.

Scottie =

Top of the lighthouse =

The boat =

The fish =

meters

b. How far is Scottie from the fish?

Answer:

30 m ;

15 m ;

0 m;

40 m

Step-by-step explanation:

Scottie's position = standing on cliff

Height of cliff = 30 m above sea level

Height of lighthouse = 15 meters

Position of fish = 10m below sea level

Above sea level = positive, +

Below sea level = negative, -

Scottie's position = 30 m

Top of lighthouse = 15m

BOAT = surface of sea = 0m

Fish = - 10 m

Distance of Scottie from fish :

Scottie's position - Position of fish

30m - (-10)m

30m + 10m

= 40m

Help 69 points
36 - 7p = -7 ( p - 5)
a) No Solution
b) One Solution
c) Infinite Solutions

Answers

Answer:

a) No Solution

Step-by-step explanation:

36 - 7p = -7(p - 5)

36 - 7p = -7p + 35

1 - 7p = -7p

1 = 0p

so a) No Solution

Answer:

[tex]36 - 7p = - 7(p - 5) \\ 36 - 7p = - 7p - 7 \times - 5 \\36 - 7p = - 7p + 35 \\ p \: terms \: togather \\ - 7p + 7p = 35 - 36 \\ 0p = - 1 \\ here \: we \: \: have \: 0p \\ so \: no \: solution \\ option(a) \\ thank \: you[/tex]

I don’t get this one

Answers

Answer:

quintic polynomial

Step-by-step explanation:

it depends on the degree and the degree is at 5 so its quintic quin means 5

Answer:

It is a Quintic Polynomial

Step-by-step explanation:

When classifying polynomials, there is usually a list that you should get that makes classifying easier.

I put the list down below.

In order to find if it is constant (0), linear (1), quadratic (2), cubic (3), quartic (4), or quintic (5), look at the exponent with the highest value (0 through 5), and it will give you the name. So in the equation, you have above, the highest exponent is 5. So this is a quintic.  

In order to find the next part of the expression, monomial, binomial, trinomial, and polynomial, look at how many terms there are in the expression. There are 4 terms, so this a polynomial.

Hurry please!!!!

Which type of transformation is described by (x, y) + (x+2, y+3)?
(А)
a translation 2 units to the right and 3 units down

a translation 2 units to the left and 3 units down
a translation 2 units to the right and 3 units up
D
a translation 2 units to the left and 3 units up

Answers

Answer is C) which is 2 units right and 3 units up since it it positive it goes up and right.

(x, y) → (x+2, y+3) means a translation 2 units to the right and 3 units up.

What is transformation?

Transformations are changes done in the shapes on a coordinate plane by rotation, reflection or translation.

here, we have,

Given the rule of transformation:

(x, y) → (x+2, y+3)

If we move horizontally 2 units to the right, 2 is added to the x-coordinate of any given point, and then 3 units up.

In other words,

(x, y) → (x+2, y+3) means Translation 2 units right and 3 units up.

For example,

Let say if we have the point A(4, 5)

Using the translation rule:

(x, y) → (x+2, y+3)

A(4, 5) → A'(4 + 2, 5 + 3) → A'(6, 8)

Therefore, the new position of A(4, 5) after translating 3 units right and 2 units up would be: A'(6,8).

Hence, (x, y) → (x+2, y+3) means a translation 2 units to the right and 3 units up.

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What is the missing value ? i’ll mark brainlist

Answers

50 i think................

Answer:

50

Step-by-step explanation:

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