A slug travels 3 centimeters in 3 minutes. A snail travels 6 centimeters in 6 minutes. Both travel at constant speeds. Mai says, “The snail was traveling faster because it went a greater distance.” Do you agree with Mai's reasoning

Answer:

Step-by-step explanation:

The standard form of parabola having vertex ( 2 , 5) is given by y = [tex]\frac{1}{4}[/tex] ( x - 2 )² + 5.

What is a parabola ?

A parabola is a plane curve that is produced when a point moves so that its distance from a given point equals its distance from a fixed line.

We know that , the standard form or general equation of a parabola is given by :

y  = a ( x - h )² + k

where : vertex is (h, k) and focus ( h , k + p)

We know that here directrix is y = k - p and a is a = [tex]\frac{1}{4p}[/tex]

It is given that focus is (2 , 6).

From focus :

h = 2 and k + p = 6

whereas from directrix :

k - p = 4

Adding both

k + p = 4

k - p = 6

We get :

2k = 10

or

k = 5

So ,

p = 1

And vertex will be :

(h , k) = (2 , 5).

The vertical distance from vertex to directrix p = 1 :

y  = a ( x - 2 )² + 5

here , a = [tex]\frac{1}{4p}[/tex] or a = 1/4

So , the standard form of given parabola will be :

y = [tex]\frac{1}{4}[/tex] ( x - 2 )² + 5

Therefore , the standard form of parabola having vertex ( 2 , 5) is given by y = [tex]\frac{1}{4}[/tex] ( x - 2 )² + 5.

Learn more about parabola here :

https://brainly.com/question/14502549

#SPJ2

Given:

After 8 months, you have been able to save $937.

You have the ability to save $130 per month.

To find:

The model for the situation and y-intercept and rate of change.

Solution:

Let y be the ability to saving after x months.

Ability to save in one month = $130

Ability to save in x months = $130x

So, total ability is

[tex]y=130x+b[/tex]      ...(i)

where, b is initial savings.

After 8 months, you have been able to save $937.  So, the point is (8,937).

Put x=8 and y=937 in (i),

[tex]937=130(8)+b[/tex]

[tex]937=1040+b[/tex]

[tex]937-1040=b[/tex]

[tex]-103=b[/tex]

So, the y-intercept is -103. Here, negative sign represents that we cannot able to save initially or we have loan or liabilities of $103.

Put b=-103 in (i).

[tex]y=130x+(-103)[/tex]  

[tex]y=130x-103[/tex]

On comparing with slope intercept form, we get

Slope = 130 and y-intercept = -103

Therefore, the slope is 130 and y-intercept is -103.

Answer:

Well i got 4.32 but im not completely sure

Step-by-step explanation:

Answer:

[tex]y = \frac{19}{5} [/tex]

Step-by-step explanation:

[tex] \frac{2y - 4}{y + 7} = \frac{1}{3} [/tex]

or, 3(2y-4) = 1(y+7)

or, 6y-12 = y +7

or, 6y-y = 7+12

or, 5y = 19

or, y = 19/5

Answer:

y=19/5

Step-by-step explanation:

Hope this helps!

Answer:

5: 6

Step-by-step explanation:

becuase it was basically 100:120 but divide it by 20 and thats  how you get 5;6

Answer:

As of what I see, your answer is all of them.

Using the formula

A=wl

Solving for w

w=A

l=28

6≈4.66667 or 4.67

hope it helps! :3

Also, I want to point out the fact that your profile picture is Todoroki. I love him. He is my favorite character in mha. It is nice to meet a fellow fan. Especially since I had to deal with my friend saying the show sucks...

Answer:

The value of x is 69°

Step-by-step explanation:

In a right angle triangle, if m and n are the two acute angles on it, then

That means if sin(m) = cos(n), then m + n = 90°

Let us use these facts to solve the question

∵ sin(21°) = 0.358

∵ cos(x°) = 0.358

→ That means sin(21°) = cos(x°)

∴ sin(21°) = cos(x°)

→ By using the facts above

∴ 21 + x = 90°

→ Subtract 21 from both sides

∵ 21 - 21 + x = 90 - 21

∴ x = 69°

∴ The value of x is 69°

Answer:

6.25 colonies of bacteria per +pH change from 7 to 9

Step-by-step explanation:

It seems to go from 57.5 to 70 or maybe 57 or 58

Either way I will go with my guess of 57.5

Rate of Change= (70-57.5)/(9-7)=(12.5)/(2)=6.25 rate of change for colonies of bacteria per positive pH change from 7 to 9

Answer:

Step-by-step explanation:

company A = 28,000 + 3,000 (x)

company B = 36,000 + 2,000 (x)

where x = no. of years.

28,000 + 3,000 (x) = 36,000 + 2000 (x)

3,000 (x) - 2,000 (x) = 36,000 - 28,000

1,000 (x) = 8,000

x = 8,000

     1,000

company A = 28,000 + 3,000 (8)

company B = 36,000 + 2,000 (8)

Answer:

en contexto, ora al de arriba pa que te ayude porque nose nada xd

Step-by-step explanation:

Answer: 3x+12y+4

Step-by-step explanation:

The only like terms are the x+2x so we add them to get the simplfied answer

Answer:

3x + 12y + 4

I dont really know how to explain but since there is an X at the and of the 2, you can add X + 2x to get 3x. Since 3x, 12y, and 4 are not alike, this is the simplest form.

Answer:

The area is 225 and they are not directly proportional

Step-by-step explanation:

find the area by doing 15 x 15 which is 225

Answer:

225

Step-by-step explanation:

easy

Answer:

The price for 1 lemon is $0.75

Step-by-step explanation:

8x=$6

8x/8=6/8

x=$0.75

it would be -4 i think

come back and tell me if im wrong

Answer:

no solution

Step-by-step explanation:

Answer:

b = 148.5052112

Step-by-step explanation:

To find the value of b we will use the trigonometry functions

∵ The triangle is a right triangle

∵ The measure of one of its acute angles = 68°

∵ The length of the side opposite to the angle of measure 68° is b

∴ The opposite side = b

∵ The length of the side adjacent to the angle of measure 68° is 60

∴ The adjacent side = 60

∵ The function tan(x) = [tex]\frac{opposite}{adjacent}[/tex]

∴ tan(68°) = [tex]\frac{b}{60}[/tex]

→ Multiply both sides by 60 to cancel the denominator of the right side

∴ 60 × tan(68°) = b

∴ 148.5052112 = b

∴ b = 148.5052112

Answer:

b = 148.5052112

Step-by-step explanation:

Answer:

374x

brrrrrrrrrrrrruhhhhhhhhhhhhhh

Answer:

374x

Step-by-step explanation:

Just add 32 and 342 together

32 + 342

374

Then add the x back on

374x

Hope this helped :)

Answer:

3.96 months or close to 4 months

Step-by-step explanation:

[tex]\frac{33}{100} *\frac{x}{12}[/tex]

Cross multiply

396 = 100x

Divide both sides by 100 to get x alone

396/100 = 100x/100

3.96 = x

Hope this helps and pls do mark me brainliest:)

Answer:

3.96 or 4 rounded

Step-by-step explanation:

4 because is you multiply 12*.33 = 3.96

If you round it is 4 months.

Hope this helps!!

Answer:

?

Step-by-step explanation:

If you divide 572 by 2 you get 286...

Answer:286

Step-by-step explanation: thats a real big number but half of 572 is 286 and you can figure that out by diving by 2

Answer:

90

Step-by-step explanation:

it looks like it's a right angle

Answer:

The answer is 90 degrees

Step-by-step explanation:

Answer:

The required answer is [tex]y=-\mathbf{\frac{3}{2}}x\\[/tex]

Step-by-step explanation:

We are given that value of x and y vary directly so , if two values vary directly we can write

y∝x

y=kx

Now, we are given x=-4 and y=6 and we have to fill in the blank. We actually have to find value of k i.e y=____x . Yhe blanks must be filled by value of k because y=kx

Using values of x and y i.e x=-4 and y=6 to find value of k

[tex]y=kx\\6=k(-4)\\Divide \ both \ sides \ with \ -4\\\frac{6}{-4}= \frac{k(-4)}{-4} \\k=\frac{-3}{2}[/tex]

The value of k is [tex]\mathbf{\frac{-3}{2}}[/tex]

So, the required answer is [tex]y=-\mathbf{\frac{3}{2}}x\\[/tex]

Answer:

D).

Step-by-step explanation:

usually you got = 2(10)+3(20)+4(40) =240

Answer:

Line ____        Ear

Answer:

20x

Step-by-step explanation:

First.... distribute the 8 and 12 to the perenthesis next to them. Then, all like terms. The final answer will be 20 * x or 20x.

Answer:

the answer 50

Step-by-step explanation:

this is because of the triangle therom thing which is all triangles are equal to 180 degrees which means you gotta add 35+95 which gives 130 then subtract 180-130 which equals 50 and thats the missing angle.

Answer:

50

Step-by-step explanation:

'Cause I love my mama UnU