Trapezoid FGHJ has vertices at F(2.-3), G(2, 4), H(6,4), and J19, -3). What is the
area of the trapezoid? Show your work.

Answer:

[tex]\frac{m^3}{2} - 4[/tex]

Step-by-step explanation:

Required

Determine an expression for the given statement

The expression can be rewritten as:

one-half    *     the cube of m       subtracted by      4

Convert each statement to mathematical expressions:

One half = [tex]\frac{1}{2}[/tex]

The cube of m = [tex]m^3[/tex]

one-half    *     the cube of m = [tex]\frac{1}{2} * m^3[/tex]

At this stage, we have:

[tex]\frac{1}{2} * m^3[/tex] subtracted by 4

This gives:

[tex]\frac{1}{2} * m^3 - 4[/tex]

[tex]\frac{m^3}{2} - 4[/tex]

Hence, The corresponding expression is [tex]\frac{m^3}{2} - 4[/tex]

One-half the cube of m subtracted by 4 is [tex]0.5\sqrt[3]{m} -4[/tex]

Based on the information given, one-half the cube of m subtracted by 4 is expressed as:

Subtracting 4 from the result will give the final expression as [tex]0.5\sqrt[3]{m} -4[/tex]

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Answer:

  180

Step-by-step explanation:

2 1/4 ft = 9/4 ft, so is a length equivalent to 9 cubes.

1 ft = 4/4 ft, so is a length equivalent to 4 cubes.

1 1/4 ft = 5/4 ft, so is a length equivalent to 5 cubes.

Then the volume of the prism is ...

  V = LWH

  V = (9)(4)(5) = 180 . . . cubes

Answer:

First, distribute the 4.

2x times 4  = 8x

3x times 4 = 12x

then add/ combine like terms.

8x + 12x = 20x

Step-by-step explanation:

Answer:

20x

Step-by-step explanation:

distribute the 4 to the 2x and 3x: 4 * 2x= 8x and 4 * 3x= 12x

then add the x's together: 8x+12x=20x

so the answer is 20x

Answer:

Frank earns $200.

His dad earns $800.

Step-by-step explanation:

Giving the following information:

His dad makes 4 times as much money as him each week. Each week their income adds up to 1.000 dollars.

We know that:

x= Franks income

4x= Dads income

y= total income

y= x + 4x

1,000= 5x

1,000/5=x

200=x

Frank earns $200.

His dad earns $800.

Answer:

the top one

Step-by-step explanation:

one input cannot have more than one output

Answer:

EF is 16.  

Step-by-step explanation:

So we know that Point E is somewhere on Line DF. In other words, DE plus EF must equal DF. In an equation, this is:

[tex]DF=DE+EF[/tex]

We are given that DE is 2x, EF is 2x-6, and DF is 3x+5. So, substitute:

[tex](3x+5)=(2x)+(2x-6)[/tex]

Now, solve for x.

On the right, combine like terms:

[tex]3x+5=4x-6[/tex]

Subtract 4x from both sides:

[tex]-x+5=-6[/tex]

Subtract 5 from both sides:

[tex]-x=-11[/tex]

Divide both sides by -1:

[tex]x=11[/tex]

Now that we know x is 11, substitute this back into the equation for EF to find EF.

[tex]EF=2x-6[/tex]

Substitute 11 for x:

[tex]EF=2(11)-6[/tex]

Multiply:

[tex]EF=22-6[/tex]

Subtract:

[tex]EF=16[/tex]

And we're done!

Answer:

12¢

Step-by-step explanation:

Let the unit price of a pencil be x and the unit price of a pen be y.

2x+3y=78¢

3x+2y=72¢

(2x)+3y=78¢

(3x)+2y=72¢

=2x=78¢-3y

=2x/2=78¢/2+3y/2

=x=36¢-1.5y

You then use the equation 3x+2y=72¢.

3(36¢-1.5y)+2y=72¢

=117¢-4.5y+2y=72¢

=117¢-72¢=4.5y-2y

=45¢=2.5y

=45¢/2.5=y

=18¢=y

So a pen costs 18¢.

You then use x=36¢-1.5y

x=36¢-1.5(18¢)

=x=36¢-27¢

=x=12¢

Therefore, a pencil costs 12¢.

Answer:

The answer is noncollinear

Step-by-step explanation:

Answer:

Non-collinear because the points dont line up to be colinnear. learned this today dead a** its not hard. pay attention

Step-by-step explanation:

Answer:

The first one, 2.2289<2.297

Step-by-step explanation:

Answer:

The answer is 2.2289<2.297 because if you look in the hundredths place there is a 9 in 2.297 but in 2.2289 there is an 2 and 9>2 so that is your answer.

Answer:  -x - 5y + 19 = 0, choice A

All we're doing is adding 19 to both sides to get everything on the same side.

General form is Ax+By+C = 0. Some books use Ax+By = C which is just a variation of the same idea.

Step-by-step explanation:

1.5y - 9.82 = -9.37 - 10.1y - 14.37

1.5y + 10.1y = 9.82 -9.37 - 14.37

11.6y = −13.92

y = (-13.92)/11.6

y = -1.2

Answer:

-2

Step-by-step explanation:

42+35x=3x-22

35x-3x=-22-42

32x=-64

therefore, x= -64/32

and through further simplification you will get

-2

hope this helped you ( ꈍᴗꈍ)

Answer:

The answer is

Step-by-step explanation:

To find the equation of the line given a point and slope we use the formula

[tex]y - y_{1} = m(x - x _{1})[/tex]

where

m is the slope

( x1 , y1) is the point

From the question

The point is (6, 8) and

slope - 2

The equation of the line is

[tex]y - 8 = - 2(x - 6) \\ y - 8 = - 2x + 12 \\ y = - 2x + 12 + 8[/tex]

We have the final answer as

Hope this helps you

Answer:

C on edge

Step-by-step explanation:

just took the quiz

Answer:

Peter walks at a rate of 13/4 miles per hour.

Step-by-step explanation:

Peter walks at a rate of 13/4 miles per hour because every hour, represented by x, he walks 3.25 hours or 13/4. y is the total miles he walked so if he walks two hours the y would equal 6.5 or 26/4 and the x would equal 2.

Answer:

81 ft

Step-by-step explanation:

1 yard=3ft

27 x 3=81

So the answer is 81 ft

Answer:

It is angle FED which is equal to angle DEF

Answer:

8x + 60

Step-by-step explanation:

4(x + 5) + 2(x - 10) + 2(x + 30)

= 4x + 20 + 2x - 20 + 2x + 60 (combine like terms)

= 8x + 60

False because 22 + 32 =54

Answer:

No. 22+32=54

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Given AG bisects ∠ RAZ , then

∠ RAG = ∠ ZAG , that is

8x + 5 = 4x + 29 ( subtract 4x from both sides )

4x + 5 = 29 ( subtract 5 from both sides )

4x = 24 ( divide both sides by 4 )

x = 6

First, divide.

24 / 10 = $2.40 per chicken wing

Second, multiply.

17 * 2.4 = $40.80

Best of Luck!

Answer:

2 over 6 as a fraction simplifies as 1 over three.

Step-by-step explanation:

If you are writing as a fraction, you put 2 over 6 and simplify. Your answer is 1 over 3

Answer:

2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  2/6  

Step-by-step explanation:

its just 2/6

Answer:

Square root 8 over three, (square root of 4)/2, and pi/3.

Step-by-step explanation:

First of all, square the radicals to make solving this easier. Squarer root 8 over three will become 8/9, and square root 4 over 2 will now become 4/4, which is 1. Pi/3 is greater than 1, so we can now order this from least to greatest. 8/9 is the least, 1 is the second greatest value, and pi/3 is the greatest value.

Answer: 8squared/3 4squared/2 Pi/3

Step-by-step explanation:

8 squared = 2.8... = 2.8/3 (least)

4 squared = 2 = 2/2 = 1 (second least)

Pi over 3 = 3.14159.../3 = 1 .14159/3 (greatest)

Answer:

yes because 4 times 9 is equal to 36  and 4 times 5 is equal 20

Step-by-step explanation:

Yes, both the expressions ( 36 + 20 ) and 4 ( 9 + 5 ) are equivalent to each other.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The given expressions are solved as:-

First expression,

36 + 20 = 56

Second expression,

4( 9 + 5 ) = 36 + 20

               = 56

From the above calculations,

( 36 + 20 ) = 4 ( 9 + 5 )

Therefore, both the expressions ( 36 + 20 ) and 4 ( 9 + 5 ) are equivalent to each other.

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Answer:72.9

Step-by-step explanation:

Answer:

72.9

Step-by-step explanation:

Fractions method:

[tex]81*\frac{90}{100}[/tex] because 90/100 is the same thing as 90%

That gives us 7290/100, from 81*90/100

Simplify: =729/10 = 72.9

Decimals method:

81*9 = 729, add in decimal and that's 72.9

Cross-multiplication:

90    100

?         81

This is read as 90 to 100, (as a ratio) so how many to 81? To solve, cross-multiply - 81*90=7290, then divide by 100 to get 72.9.

This is my first answer , hope it helped!

Answer:

0.003, 5/1000, 9/1000

Step-by-step explanation:

0.003 is thousandths.

5/1000 is thousandths.

9/1000 is thousandths.

I converted them to fractions.

5/1000 is already a fraction

Same for 9/1000

0.003=3/1000

So 3/1000, 5/1000, 9/1000

Answer:

8

Step-by-step explanation:

3( 2 + 2 ) - 4

3( 4 ) - 4

12-4

8

Answer:

4

Step-by-step explanation:

2(3x-2)=20

3x-2=10

3x=12

x=4

Answer:

x=4

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

4/x = 5/10

=> 4/x = 1/2

=> 4 x 2 = x

=> 8 = x

=> x = 8