The area of a trapezoid is given by the formula A 1/2= (b 1 + b 2)h, solve the formula for h

Answer:

(2x - 5 ) (3x^2 + 5x - 7) = 6x^3 - 5x^2 - 39x - 35

The product of 2x – 5 and 3x2 + 5x - 7equal to the product of 5x - 2 and 3x2 + 5x - 7 are not equal.

Step-by-step explanation:

Product means multiplication

Product of 2x - 5 and 3x^2 + 5x - 7

(2x - 5 ) (3x^2 + 5x - 7)

= 6x^3 + 10x^2 - 14x - 15x^2 - 25x - 35

Collect like terms

= 6x^3 + 10x^2 - 15x^2 - 14x - 25x - 35

= 6x^3 - 5x^2 - 39x - 35

Product of 5x - 2 and 3x^2 + 5x - 7

(5x - 2) (3x^2 + 5x - 7)

= 15x^3 + 25x^2 - 35x - 6x^2 - 10x + 14

Collect like terms

= 15x^3 + 25x^2 - 6x^2 - 35x - 10x + 14

= 15x^3 + 19x^2 - 45x + 14

The product of 2x – 5 and 3x^2 + 5x - 7equal to the product of 5x - 2 and 3x^2 + 5x - 7 are not equal.

They both consist of different variables in their multiplier

Complete question :

Kane is training for a marathon. He starts by running 3 miles during every training session each week plans to increase the distance of his runs by 1/4 mile. Let w be the number of weeks. Write and expression to show the diatance kane runs in a training session after w weeks

Answer:

(11 + w ) / 4

Step-by-step explanation:

Given the following :

Initial miles kane plans to cover per session = 3 miles

Increase in miles covered per session = 1/4 mile per week

Hence, distance covered after w weeks :

Using the sum of an arithmetic progression formula:

Tn = a + (n - 1) d

a = first term = Initial / starting distance = 3 miles

n = nth term = number of weeks = w

d = common difference = constant increase in distance per week = 1/4

Hence, after w weeks :

= 3 + (w - 1) × 1/4

= 3 + (w/4 - 1/4)

= 3 + (w - 1) / 4

Taking L. C. M

(12 + w - 1) / 4

(11 + w ) / 4

The expression that shows the distance Kane runs in a training session after w weeks will be; (11 + w ) / 4

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

Given that the Initial miles kane plans to cover per session = 3 miles

The Increase in miles covered per session = 1/4 mile per week

Using the sum of an arithmetic progression formula to calculate the distance covered after w weeks

Tn = a + (n - 1) d

a = first term = 3 miles

n = nth term = number of weeks = w

d = common difference = the constant increase in distance per week = 1/4

Hence, after w weeks,

= 3 + (w - 1) × 1/4

= 3 + (w/4 - 1/4)

= 3 + (w - 1) / 4

= (12 + w - 1) / 4

= (11 + w ) / 4

To know more about an expression follow;

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Complete question :

Kane is training for a marathon. He starts by running 3 miles during every training session each week plans to increase the distance of his runs by 1/4 mile. Let w be the number of weeks. Write and expression to show the distance kane runs in a training session after w weeks.

Answer:

I believe it is 3.3881318e-21 but you could round that

Step-by-step explanation:

Step-by-step explanation:

if if you put x equals to -5

it becomes -(-5)^2 which is equal to -25

Answer:

-25

Step-by-step explanation:

1) The equation is -(-5)^2

2) When you square a negative number, it will be a positive

3) So in this equation it would be -(25)

4) However, there's another negative sign in front.

5) So the answer therefore is -25

Hope this helps!

greatest to least:

9.75, 9.5, 9.375, 9.125

Answer:

x = 5

Step-by-step explanation:

Step 1: Write equation

3x - 4 = 2x + 1

Step 2: Solve for x

Subtract 2x on both sides: x - 4 = 1

Add 4 on both sides: x = 5

Answer:

x=5

Step-by-step explanation:

3x-4=2x+1----> you subtract 2x on both sides---->x-4=1 -----> then add 4 on both sides and you get---> x=5. Hope it helped.

Answer:

-2.96

Step-by-step explanation:

Answer:

x = 10 4/5

Step-by-step explanation:

We want to find the value of x in the expression below;

2 1/4/x = 1 1/2/3 3/5

The best thing to do here is to turn all the mixed fractions to improper fractions. Thus, we have;

9/2/x = 3/2/18/5

= 9/2x = 3/2 * 5/18

9/2x = 15/36

9 * 36 = 15 * 2x

324 = 30x

x = 324/30 = 10 8/10 = 10 4/5

Answer:

The correct answer is C or 0.5 or 1/2.

Step-by-step explanation:

I know this because I checked it 5 times.

Answer:

BC= 29

Step-by-step explanation:

If the total, AC, is 54 and AB is 25 subtract those two to find the last part, BC.

Answer:

Each boy will get an equal amount of 4 slices of pizza

Step-by-step explanation:

Think about multiplication 3 boys x amount of pizza for each boy=12

you would create an equation [tex]3*p=12[/tex]  divide both sides by 3 12/3=4

each boy would get an equal amount of 4 slices out of the 12 sliced pizza

Answer:

m∠1 = m∠3 = 75°

m∠2 = m∠4 = 105°

Step-by-step explanation:

From the figure attached,

m∠1 + m∠2 = 180° [Supplementary angles]------(1)

Since, m∠2 - m∠1 = 30°

m∠2 = 30° + m∠1 -----(2)

By substituting the value of ∠2 from equation (2) to equation (1),

m∠1 + (m∠1 + 30°) = 180°

2(m∠1) + 30° = 180°

2(m∠1) = 150°

m∠1 = 75°

Therefore, m∠2 = 180°- m∠1 = 180° - 75°

                  m∠2 = 105°

Since, ∠ 2 ≅ ∠4 [Vertical angles]

m∠2 = m∠4 = 105°

Similarly, ∠1 ≅ ∠3 [Vertical angles]

m∠1 = m∠3 = 75°

Answer:

Multiplication

Step-by-step explanation:

This looks like the equation for the area of a rectangle.

Area = Lenght * Width

Given that the "l" variable and the "w" variable or next to each other without '/' or '\' , then we can safely say this a multiplication operation.

If there is no symbol between variables, it is assumed to be short-hand for multiplication instead of writing '*', '.', or 'x' in-between the variables.

Cheers.

Answer:

4 more times

Step-by-step explanation:

The question says that easton paid 68 dollars for the interlocking set

Colin paid 17 dollars for his own.

We are required to find how many more times easton paid than colin

To do this we divide 68dollars by 17 dollars

68/17

= 4 times

This tells us that compared to colin, easton overpaid for his own set by 4times. Easton paid 4 more times than colin

Answer:

The y- intercept could only be: B) (0, -3).

Step-by-step explanation:

The Y intercept is found when X=0, so the first value in the ordered pair must be 0. Because the line crosses the y axis BELOW the x axis, the value must be negative. Therefore, out of all the provided options, the answer could only be (0,-3).

Answer:

17.78×9.208×4.445=727.7275768

D=mass÷volume

mass=density×volume

mass=19.3g/cm3×727,7275768=14045,14223224=14045grams

Answer:

0.244

Step-by-step explanation:

Step 1:

12.894 - 12.65

Answer:

0.244

Hope This Helps :)

Answer:  13.244

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(2,-4) and (6,2)

The midpoint is

[tex]M = ( \frac{2 + 6}{ 2} , \: \frac{ - 4 + 2}{2} ) \\ = ( \frac{8}{2} \: , \: - \frac{2}{2} )[/tex]

We have the final answer as

Hope this helps you

Answer:

The mid point must be (4,-1)

Step-by-step explanation:

mid point= [(X1+X2)/2 , (Y1+Y2)/2]

= [ (2+6)/2 , (-4+2)/2]

= [ 8/4 , -2/2]

= (4, -1)

Hey there! I'm happy to help!

Here's how to find the distance between any two points.

Subtract the x values.

8-9=-1

Square it.

-1²=1

Subtract the y values.

10-3=7

Square it.

7²=49

Add the two numbers you got.

49+1=50

And find the square root.

√50≈7.1.

Have a wonderful day! :D

Answer:

No the answer is 35! :)

Step-by-step explanation:

Answer:

The Answer is Thirty five

Step-by-step explanation:

So you would multiply five by seven and get Thirty Five

Answer: 0.533 :> :v

Step-by-step explanation:

Answer:

the opposite of positive 22 would be -22

Step-by-step explanation:

Answer:

Step-by-step explanation:

V = l · w · h

V = (412)(312)(6)

V = (1872)(412)= 771,264 cm^3

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{771264 \: \: {cm}^{3} }}}}}[/tex]

Step-by-step explanation:

[tex] \star{ \sf{ \: length \: of \: a \: rectangular \: prism(l) = 412 \: cm}}[/tex]

[tex] \star{ \sf{ \: width \: of \: a \: rectangular \: prism \: ( \: w \: ) = 312 \: cm}}[/tex]

[tex] \star{ \sf{ \: height \: of \: a \: rectangular \: prism \: ( \: h \: ) = 6 \: cm}}[/tex]

Finding the volume of a rectangular prism having length ( l ) of 412 cm , width ( w ) of 312 cm and height ( h ) of 6 cm :

[tex] \bold{\boxed{ \sf{volume \: of \: a \: rectangular \: prism = lwh}}}[/tex]

[tex] \hookrightarrow{ \sf{volume \: of \: a \: rectangular \: prism \: = 412 \times 312 \times 6}}[/tex]

[tex] \hookrightarrow{\boxed{ \sf { volume \: of \: a \: rectangular \: prism = 771264 \: {cm}^{3} }}}[/tex]

Volume of a rectangular prism = 771264 cm³

Hope I helped!

Best regards! :D

~TheAnimeGirl

Answer: The distance between them would be 4 and 5 because if you look at it the one is at -1 and the 5 is at the top you have to count how many spaces their are between them to see what your answer would be and so in this equation it would be 4 and

Step-by-step explanation:The distance between them would be 4 and 5 because if you look at it the one is at -1 and the 5 is at the top you have to count how many spaces their are between them to see what your answer would be and so in this equation it would be 4 and

Answer: (2.5,2)

Step-by-step explanation:

Answer:

The answer would be -1/9. The decimal form would be -0. 111111. Hope this helped, and if it did, please like the answer and rate it. ty! :)

Answer:

-  1    

    9

Step-by-step explanation:

-     2      

  3  *   6  

- 2    

  18

= -  1    

      9

Answer:

x=9 Hope this helps :)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 3x from both sides.

Step 3: Subtract 6 from both sides.

Step 4: Multiply both sides by 3/(-8).

And you get x=9

Answer:

C.

Step-by-step explanation:

all you have to do is replace the x with 14 until the equation is true.

Answer: C and H

Step-by-step explanation:

plugging in for each equation for the first one C is the only one that comes up with a whole number and with H you divide and then add to get the answer :)

Answer:

8

Step-by-step explanation:

Answer:8 or -16

Step-by-step explanation:

a) If you mean 10x - 3(x²) when x=2

10(2)- 3(2²)= 20-12=8

b) If you meant 10x - 3x²=

10(2)-(3 x 2)²= 20-6²

20-36=-16

Answer: 60 feets

Step-by-step explanation:

Given the question :

Find the missing dimensions. Use the scale factor 1 inch:12 feet. A plastic toy bird has a wingspan of 5 inches. What is the actual bird wingspan?

Using a scale factor of 1 inch : 12 feet

Wingspan of plastic toy bird = 5 inches

Calculate the actual bird wingspan

(1 inch / 12 feet) = (toy bird wingspan / actual bird wingspan)

( 1 inch / 12 feet) = (5 / actual bird wingspan)

Actual bird wingspan = 5 × 12

Actual bird wingspan = 60 feets