L.C.M of x2 + 3x + 2 and x2 + 4x + 3

Answer:

Step-by-step explanation:

(4,3) and (6,9)

difference of x-coordinates = 6-4 = 2

difference of y-coordinates = 9-3 = 6

distance between points = √(2²+6²) = √40 = 2√10

Answer: -1/8 OR -0.125, -2^-3

Step-by-step explanation:

Answer:

1: 25c+10

2: 29a+18b

3: -2b+24n+11-12m

4: 23m+10

5: 8x+3y+16

Answer:

100 km/hour, or 16.67 km/minute

Step-by-step explanation:

Answer:

2/5 is greater than 1/4

so ms. potts washed most of the laundry

Answer:

k = 2

Step-by-step explanation:

9 = k(6) - 3

12 = 6k

k = 2

Answer:

k = 2

Step-by-step explanation:

We know that in the coordinates (6, 9) 6 is X and 9 is Y. So, we can just plug that into the equation in the problem to get 9 = 6k - 3. Then, after solving, we get the answer as k = 2.

Answer:

150 minutes

Step-by-step explanation:

P.S - The exact question is -

Given - This is the pond in a shape of a prism, it is completely full of

             water. Colin uses a pump to empty the pond. The level goes

             down by 20 cm in the first 30 min.

To find - Work put how many minutes Colin has to wait for the pond

               to completely empty.

Proof -

Given that,

Height of prism = 1 m

Also,

Base of the prism is trapezium and

Sides of the trapezium are 0.6 m and 1.4 m

Height of trapezium is 2 m

We know that,

Area of trapezium = [tex]\frac{1}{2}[/tex]× (sum of sides)× height

                             =  [tex]\frac{1}{2}[/tex]× (0.6 + 1.4)× 2

                             =  [tex]\frac{1}{2}[/tex]× (2)× 2

                             =  2 m²

⇒Area of trapezium = 2 m²

Now,

Volume of prism = Area of trapezium × height of prism

                          = 2 m² × 1 m

                          = 2 m³

⇒Volume of prism = 2 m³

Now,

Given that the level goes down by 20 cm in the first 30 min

We know

100 cm = 1 m

⇒1 cm = [tex]\frac{1}{100} m[/tex] = 0.01 m

⇒20 cm = 20×0.01 m = 0.2 m

⇒The level goes down by 0.2 m in the first 30 min.

Also,

we know that height of water = height of prism = 1 m

So, the remaining water left in the pond = 1 m - 0.2 m = 0.8 m

Also,

Volume of Remaining water = Area of trapezium × height

                                           = 2 m² × 0.8 m

                                           = 1.6 m³

⇒Volume of Remaining water = 1.6 m³

Now,

Volume of emptied water = Total Volume - Volume of Remaining water

                                       = 2 m³ - 1.6 m³

                                       = 0.4 m³

⇒Volume of emptied water = 0.4 m³

Now,

0.4 m³ water will be empty in 30 minutes

⇒ 1 m³ water will be empty in [tex]\frac{30}{0.4}[/tex] = 75 minutes

⇒1.6 m³ water will be empty in 1.6 × 75 = 120 minutes

∴ we get

The remaining water is empty in 120 minutes

So,

Total pond is empty in 120 + 30 minutes

⇒Total pond is empty in 150 minutes

Answer: there were 12 chocolates in each box. (Originally, before any got eaten)

Step-by-step explanation: let x represent the total amount of chocolates in each box.

8x - 3(8) = 72

8x - 24 = 72 add 24 to both sides

8x = 96 divide both sides by 8

X = 12

Answer:

That means you had 48 chocolates in each box

Step-by-step explanation:

Since you eat 3 chocolates from all 8 boxes, you do this:

8 x 3 which = 24

Now since you have 72 chocolates left you do this:

72 - 24 which = 48

So, therefore, there were originally 48 chocolates in each box

(Don't eat so much chocolate lol you could get sick)

Answer:

A

Step-by-step explanation:

Hope this will help

Answer:

I think so it is option A)

I hope this might help u

Answer:

The next one is 64. Can you mark branliest if it's right?

Answer:

F(x) = x^1 * 2

Step-by-step explanation:

Answer:

[tex]\boxed {\sf Parallel: 7 }[/tex]

[tex]\boxed {\sf Perpendicular: -\frac{1}{7}}}[/tex]

Step-by-step explanation:

First, identify the slope.

We are given the line y=7x-5.

This is in slope intercept form or y=mx+b where m is the slope and b is the y-intercept. So, the coefficient to x, or 7 in this case, is the slope.

Now, find the parallel and perpendicular slopes.

1. Parallel Slope

Parallel lines never intersect, so they have the same slope. A parallel line has a slope of 7.

2. Perpendicular Slope

Perpendicular slopes intersect to form right angles. They have negative reciprocal slopes.

A parallel line has a slope of 7 and a perpendicular line has a slope of -1/7.

Answer:

I'll help

Step-by-step explanation:

Parallel lines have the same slope so it will be 7.

And perpendicular lines if you multiply them together they have to add up to -1,

So 7 you change it to its opposite which is 1 over 7 and yeah just

Answer:

RS = 38

Step-by-step explanation:

20x - 12 = 18x + 12

2x = 24

x =  12

3(12) + 2 = 38

The value of the side of triangle RS is equal to 38.

If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the sides of the triangle XYZ are, XY = 5x - 3, XZ = 60 and the sides of the triangle TR = 40, RS = 3x + 2.

The value of RS will be calculated as,

( 5x - 3 ) / ( 3x + 2 ) = ( 60 / 40 )

( 5x - 3 ) / ( 3x + 2 ) = ( 6 / 4 )

20x - 12 = 18x + 12

2x = 24

x = 12

RS = 3x + 2

RS = ( 3 x 12 ) + 2

RS = 36 + 2

RS = 38

Therefore, the value of the side of triangle RS is equal to 38.

To know more about similarities follow

https://brainly.com/question/2650733

#SPJ2

Answer:

25x + 35(2x) = 380

25x + 70x = 380

95x = 380 so

x = 4

then i think that mean it might be 8 then im not completly sure

Answer:

It looks like the factored form of a polynomial

Step-by-step explanation:

In unfactored form, it would be this:

2r^2 + -2r + 1

Answer:

B) 114.511m^3

Step-by-step explanation:

Formula of a cylinder is πr^2 x h

r = radius (half of diameter)

h = height

Since it is 3/4 full you only do 3/4 of the height so- 0.75 x 9.60 which equals 7.2

Half of the diameter is 2.25. 2.25^2 = 5.0625.

The volume of the cylinder = 5.0625π x 7.2

By solving this, you will get approximately 114.511 m^3 as your answer.

Answer:

The GCF of 4x^2 + 6x

is. (2x )

hope it helps

2x

The roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k

The equation is given as:

x^2 + (1 - k).x+k-3 = 0

For an equation to have real root, then the following must be true:

[tex]b^2 \ge 4ac[/tex]

In x^2 + (1 - k).x+k-3 = 0, we have:

a = 1

b = 1 - k

c = k - 3

So, we have:

[tex](1 - k)^2 \ge 4 * 1 * (k - 3)[/tex]

Evaluate

[tex]1 - 2k + k^2 \ge 4k - 12[/tex]

Collect like terms

[tex]k^2 - 2k - 4k + 1 + 12 \ge 0[/tex]

[tex]k^2 - 6k + 13 \ge 0[/tex]

Using a graphing calculator, the value of k is all real numbers

Hence, the roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k

Read more about real values at:

https://brainly.com/question/6499629

Answer: 8

Step-by-step explanation:

Answer: 8 pizzas.

Step-by-step explanation:If she is ordering 4 pizzas for 15 people then that simply means that the fraction is 4/15, 15*2 is 30, so that means that our next fraction (Equivalent fraction) will be like this 4/15 = -/30. What ever. Happens to the numerator must happen to the denominator and vice versa. So 4*2 is 8. So the answer is 8.

Answer:

she walked the fastest around the 2 hour mark and she walked 4 miles per hour

Step-by-step explanation:

This slope is the steepest if we count it, and it comes out to 4 miles per hour.

Thanks for Brianliest :D

Answer:  B. 2/3; 1

Use the slope-intercept form  y  =  m  x  +  b  to find the slope  m  and y-intercept  b .

Slope:  

(2) /(3)

y-intercept:  

( 0 ,  1 )

Step-by-step explanation:

Find the slope and y-intercept of the equation. y = (2)/(3)x + 1

Find the Slope and y-intercept

Answer:

5

Step-by-step explanation:

Answer:

I think about 2 to 4 times. Sorry if it isn't helpful... O^O

Answer: The number is 0

Step-by-step explanation:

8 = 7x + 8

Then we solve it:

8 = 7x + 8

8 - 8 = 7x

0 = 7x

0 ÷ 7 = x

x = 0

hope this helps have a nice day

Answer:

2 hours

Suzy would earn $40

Bill will earn $40

they will both earn $80

Step-by-step explanation:

The total amount suzy earns is a function of the total hours worked. Let t represent time

total income of suzy = $20t eqn 1

Bill's income = starting bonus + variable pay

= $20 + $10t

We are looking for when they would earn the same amount :

20t = $20 + $10t  eqn 2

collect like terms and solve for t

10t = $20

t = 2 hours

Substitute for t in either eqn 1 or 2

20(2) = $40

Suzy would earn $40

Bill will earn $40

they will both earn $80

Answer: -46

Step-by-step explanation: Place -7 into the equation. 4(-7-5)+2= 4*-7=-28,-4*5=20. Negative 28 minus 20 is -48. Negative 48 + 2 is -46.

Answer:

straight angle

Step-by-step explanation:

9x_15+2x_3=180

11x_18=180

11x=180+18

11x=198

x=198÷11

x=18

Answer:

The angles are a linear pair.

x = 18

Step-by-step explanation:

The angles are a linear pair, meaning the angles add up to 180 degrees.

(9x - 15) + (2x - 3) = 180

11x - 18 = 180

11x = 198

x = 18