Find the product.
(2a^2+b) (3a-3b)
Enter the correct answer.

Answer:

Check the step-by-step

Step-by-step explanation:

To get the perpendicular you need to find the negative reciprocal, therefore, he is wrong as he did not switch the negative/positive sign in m & 1/m. Also, if m is a fraction like 5/3, the reciprocal would not be 1/m, it would be 3/5 as you flip the denominator and numerator.

Answer:

Step-by-step explanation:

Problem 1

Set Up the Proportion

3 cm / 8 km = x / 20 km                Cross multiply

3*20 = 8x                                        Combine the left

60 = 8x                                           Divide by 8

60/8 = x

7 4/8  = x

7 1/2 km = x

7.5 km  = x

Problem 2

3 cm / 8km = 12 cm / x                  Cross multiply

3x = 12 * 8                                      Combine the right

3x = 96                                          Divide by 3

3x/3 = 96/3

x = 32 km

Answer:

x = 2/3

2/3*3 = 2

Step-by-step explanation:

Answer:

[tex]x = 12[/tex]

Step-by-step explanation:

Given

Shapes: Square and Rectangle

Square:

[tex]Length = x[/tex]

Rectangle:

[tex]Length = 12 + 2x[/tex]

[tex]Width = x- 8[/tex]

Required

Find x

First, we calculate the area of the square.

[tex]Area = x * x[/tex]

[tex]Area = x^2[/tex]

Next, we calculate the area of the rectangle

[tex]Area = (12 + 2x) * (x - 8)[/tex]

[tex]Area = 12x -96 + 2x^2 - 16x[/tex]

[tex]Area = 2x^2 - 16x + 12x -96[/tex]

[tex]Area = 2x^2 -4x -96[/tex]

Since both areas are equal, we have:

[tex]x^2 = 2x^2 -4x -96[/tex]

Equate to 0

[tex]2x^2 -x^2 -4x -96= 0[/tex]

[tex]x^2 -4x -96= 0[/tex]

Expand:

[tex]x^2 - 12x + 8x -96 = 0[/tex]

[tex]x(x - 12) + 8(x - 12) = 0[/tex]

[tex](x + 8)(x - 12) = 0[/tex]

[tex]x + 8 = 0[/tex] or [tex]x - 12 = 0[/tex]

[tex]x = -8[/tex] or [tex]x = 12[/tex]

But x can't be negative.

Hence:

[tex]x = 12[/tex]

Answer:

3 and 12

Step-by-step explanation:

just multiply 2 x 3 and 2 x 12 and it would give you 6 and 24 :) I hope this help

Answer:

640 students own a bicycle

Step-by-step explanation:

The rate shows that 4 out of 5 students own a bicycle. 4 out of 5 is 80% of the students. Now, we need to find 80% of 800 students.

To do this, we multiply the number of students by .80, which represents 80%.

800 x 0.8 = 640

I Hope That This Helps! :)

Answer:⅘ x 800= 640 640 out of the 800 students in a school own a bicycle.                    

Step-by-step explanation:    ⅘ x 800= 640                                                                                                

Find HCF of 12 and 16 using division method.

Step 1

Step 2

Step 3

HCF of 12 and 16 is 4.

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \scriptsize{ \sf{spbankingandsscseries}}[/tex]

Answer:

13/99

Step-by-step explanation:

First convert the expression, turn 13 into 13/1: 13/1 × 1/99

Next you multiply: 13/1 × 1/99 = 13/99

Answer:

Tahukah kamu, mengapa motor berhenti di depan lampu merah?

karena motornya direm. Coba kalau nggak direm bisa bahaya tuh.

Tebak binatang apa yang jago renang?

Bebek. Kalau ikan bukan renang tapi menyelam

Kenapa di rel kereta api ditaruh batu?

Soalnya kalau ditaruh duit nanti pada diambil.

Answer:

2

x

+

3

y

−

10

=

0

Solve for  

y

.

Tap for more steps...

y

=

−

2

x

3

+

10

3

Use the slope-intercept form to find the slope and y-intercept.

Tap for more steps...

Slope:  

−

2

3

y-intercept:  

10

3

Any line can be graphed using two points. Select two  

x

values, and plug them into the equation to find the corresponding  

y

values.

Tap for more steps...

x

y

1

8

3

2

2

Graph the line using the slope and the y-intercept, or the points.

Slope:  

−

2

3

y-intercept:  

10

3

x

y

1

8

3

2

2

Step-by-step explanation:

i am sorry it came like this

Answer:

The total amount for 32 people is 15.36

Step-by-step explanation:

we know that for 25 people is $12 so we need to find how much it would be for one person. you would need to divide $12 / 25. from this you would get 0.48, so for one person it's 48 cents. next you're going to subtract 25 from 32, this leaves you with seven people who aren't in a group of 25. you then multiply 7 × this equals to 3.36, add 3.36 to $12 and you'll get your total 15.36.

Answer:

LCM of 21,24 and 26 is 2184

Step-by-step explanation:

We need to find LCM of 21,24 and 26

For finding LCM divide the given numbers by a prime number if two of the numbers are divisible by that prime number

 2  |    21,24,26

 2  |    21,12,13

 2  |   21,6,13

 3  |    21,3,13

 7  |   7,1,13

13  |   1,1,13

      |   1,1,1

So, LCM of 21,24 and 26 is: 2 x 2 x 2  x 3 x 7 x 13 = 2184

Answer:

The slope is -1. Use the rise over run method for the two given points.

Answer:

m = - 1

Step-by-step explanation:

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

( - 3 , 1)

(1 , - 3)

m = [tex]\frac{-3-1}{1 + 3}[/tex] = - 1

m = - 1

Answer: C

explanation:

i took the test

Answer:

c

Step-by-step explanation:

I took the test on edge

Answer:

100.60

Step-by-step explanation:

15% of 87.48 is 13.12

[tex]a/87.48[/tex] x [tex]15/100[/tex]

cross multiply, you get 13.12

add up 13.12 and 87.48, you get 100.60

36

Step-by-step explanation:

4 5/8*3 is 13.875

500 decided by 13.875 is a little over 36, so you can make 36 full ribbons

Answer:36

Step-by-step explanation:

4 5/8*3 is 13.875

Answer:

Step-by-step explanation:

y = mx + b

Unknown:

b = intecept = ?

mx = slope = ?

y = equation = ?

Known:

Coordinates needed

1. Find the slope

(y2 - y1)/(x2 - x1)

(12-5)/(2-2) = undefined

Vertical line

2. Find the intercept

intercept = N/A

x - intercept = 2

Equation:

Hope this helped,

Kavitha Banarjee

Answer:

bottom right/ fourth table

Step-by-step explanation:

2 7

4 9

6 11

8 13

2 is added to both sides in both columns, making it a linear function

Answer:

117 cups

Step-by-step explanation:

two dozen cookies calls for 234cups of sugar

2 dozen cookies = 234 cups of sugar

How much sugar is needed to make one dozen cookies?

Let x = cups of sugar needed

1 dozen cookies = x cups of sugar

2 dozen cookies : 234 cups of sugar = 1 dozen cookies : x cups of sugar

2 : 234 = 1 : x

2 / 234 = 1 / x

Cross product

2*x = 234 * 1

2x = 234

x = 234 / 2

= 117 cups

Your options are wrong because none corresponds with the answer

Answer:

Step-by-step explanation:

A fixed pulley consists of a wheel fixed to a shaft and is used in conjunction with a belt to transfer energy to another fixed pulley. A movable pulley consists of a shell, a movable wheel and a rope. Movable pulleys are also know as block and tackle.

Answer:

5.5

4*5.5=22-5=17

Step-by-step explanation:

Answer:

the answer is b. 18

Answer:

-7 x (2a - 7)