You swam the length of the pond shown below. How far did you swim? If necessary, round your answer to the nearest foot.

Given:

The graph of a parabola.

To find:

The equation of the parabola.

Solution:

From the given graph, it is clear that the vertex of the parabola is at point (0,0) and it is a horizontal parabola.

The general equation of a horizontal parabola is:

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

Where, a is a constant.

If a<0, then the parabola opens left and if a>0, then the parabola opens right.

Equations in options B and D are of the form [tex]x=ay^2[/tex] but a<0 in option B and a>0 in option D.

In the given graph the parabola opens right, so the value of a mus be a positive number. So, the required equation is:

[tex]x=\dfrac{1}{6}y^2[/tex]

Therefore, the correct option is D.

Answer:

p² -5

Step-by-step explanation:

pxp      + p√ 5    -p√ 5        -√ 5√ 5

   pxp  -√ 5√ 5

pxp  -√ 5√ 5

         p² -5

Answer:

69.12

Step-by-step explanation:

Answer:

1  19/60

Step-by-step explanation:

pls make me the brainleaist

Answer:

To graph a rational function, you find the asymptotes and the intercepts, plot a few points, and then ... graphing showing vertical asymptote at x = 1 ... Next, I'll find any x- or y- intercepts.

Answer:

I honestly dont know

Step-by-step explanation:

Answer:

A = 45 cm²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h( b₁ + b₂)

where h is the height and b₁, b₂ the parallel bases

Here h = 5, b₁ = 10 and b₂ = 8 , then

A = 0.5 × 5 × (10 + 8) = 0.5 × 5 × 18 = 45 cm²

Answer:

1

Step-by-step explanation:

when you multiply an complex number by its multiplicatuive identity, in case 4+8i, you would multiply both the top and the bottom by 4-8i which is actually the value one since we cannot actually change the whole value of the number. By multiplying it by 1 and we get the same value without the imaginary number

(sorry if this doesn't make sense but I hope it helps)

about that did you forget to put -4 + 8i just to make sure about it because I am not sure if you forget it or not just making sure

Answer:

1

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

0+3+6+7+9=25

25/5=5

Answer:

it goes up by 3 2 times and up by 1 once and repeat that

Step-by-step explanation:

Answer:

135.15

Step-by-step explanation:

let SP be x

sp with vat=sp + vat % of sp

9492=x+13/100*x

x=1039.6

vat=vat% of sp

=13/100*1039.6

=135.15

Answer: 4 = 90

Step-by-step explanation:

90

Answer:

1. 135° = obtuse angle

2. 245° = Reflex angle

3. 62° = acute angle

4. 110° = obtuse reflex angle

Answer:

yes, 3:4

Step-by-step explanation:

The ratio of the side lengths is 6:8 and 18:24 both of which simplify to 3:4

Answer:

-2,4 is the answer x,y is the formula

Answer:

hey if I can get some of your social network to send you homework, they won't here?

Answer:

DE=24

Step-by-step explanation:

We can see clearly that the two angles, angle A and angle F are congruent with one another, and since they are, we know the two triangles are shifted in a growth, not in an adjustment of angles. the hypotenuse doesnt matter, what does matter is the 5 and the 10, clearing showly the transition of Triangle ABC to Triangle DEF is times 2. Therefore, 12 times 2 is 24.

Answer:

Step-by-step explanation:

segment DE is what we want to find

notice that the two triangles are similar, similar here just means one is an exact copy of the other, except for scale.  One is an exact scale copy of the other.  sooooo  we can make some scaling of one side of one.. to the same side of the other.    here we want DE so .. see that BC is the same side on the other , smaller triangle?

now notice AB on the small triangle and FE on the bigger one... sooo just by observation we can see, that the bigger triangle is 2X bigger than the small one  ,  b/c  5 * 2 = 10  .  5 is the AB side of the smaller triangel and 10 is the same side but on the bigger triangle and 2 is our scaling factor.. got it?

So do the same on BC to find DE

12 * 2 = DE

24 = DE

see?  :)

Answer:

x=11.2

Step-by-step explanation:

Set up a proportion:

x+11/36 = 37/60

Cross multiply:

1332=60(x+11)

Distribute:

1332=60x+660

Subtract 660 from 1332

672=60x

Divide:

x=11.2

I'm not sure if this is the correct answer but I hope this helps! :)

Correct me if I'm wrong!

Answer:

29 days.

Step-by-step explanation:

200 • 29 = 5800

Hope this helps

Answer:

29

Step-by-step explanation:

5,800  ÷ 200 = 29

Answer: $300

Step-by-step explanation:

Mr. Calvin earned  [tex]\$2400[/tex]

He spent  [tex]\frac{3}{8}[/tex] on food i.e.

[tex]\Rightarrow \dfrac{3}{8}\times 2400=\$900[/tex]

[tex]\dfrac{1}{3}\quad \text{on taxes i.e.}\\\\\Rightarrow \dfrac{1}{3}\times 2400=\$800[/tex]

[tex]\dfrac{1}{6}\ \text{on other expenses i.e.}\\\\\Rightarrow \dfrac{1}{6}\times 2400=\$400[/tex]

Remaining money = [tex]2400-900-800-400=\$300[/tex]

So, he saved $300 after expenses

Answer:

x=7

Step-by-step explanation:

2{x+8}+5{x-1}=60

Distribute

2x+16+5x-5 = 60

Combine like terms

7x +11 = 60

Subtract 11 from each side

7x+11-11 = 60-11

7x = 49

Divide each side by 7

7x/7 = 49/7

x = 7

Answer:

1200÷2000=0.6

0.6×100%= 60%

The answer is 60%

Answer:

The answers are 4,5,6,

the answer you are looking for is 4

Step-by-step explanation:

the first thing you have to do is define a variable for stuff that you don't know. In this problem, you don't know any of the integers, so you should assign a variable to them.

will put  the first integer as n. The second integer, since it is right after the first, will be n+1. The third integer, since it is right after the second, will be (n+1)+1=n+2. consider the integers 1, 2, and 3. 2 is one more than 1, or in other words, 2=1+1. same for 3, except 3 is two more than 1, so 3=1+2. Since the integers are consecutive, each is one more than the last.We're told that the sum of our three integers is 15. Therefore, n+(n+1)+(n+2)=15 Solving this equation is pretty straightforward:

3n+3=15

3n=12

n=4 That means our first integer is 4. Our second integer is 4+1, or 5, and our third integer is 5+1, or 6. Our answer is confirmed because 4+5+6=15

i hope I helped!!

Step-by-step explanation:

2*22/7*48=301.714 .This the answer

Answer:

Yeah, what they said above.

Step-by-step explanation:

Answer:

selling indulgences

Step-by-step explanation:

Answer:

In his these, Luther condemned the excesses and corruption of the Roman Catholic Church, especially the papal practice of asking payment-called”indulgences”-for the forgiveness of sins

Step-by-step explanation:

Answer:

A & B

Step-by-step explanation:

cos(theta)tan(theta) can be expressed as;

cos(theta)tan(theta) = cos(theta) × (sin(theta))/cos(theta).

cos(theta) cancels out to give; sin(theta)

Thus is equivalent to option A

Answer:

no

at every 30 minutes, a third of the popcorn is consumed.

After an hour, 1/3 + 1/3 = 2/3 of popcorn would be consumed.

At one hour 30 minutes, 2/3 + 1/3 = 3/3 or 1 or all of the popcorn would have been consumed

Step-by-step explanation:

The rate at which popcorn is consumed is 1/3 in 30 minutes

so, in 1 and a half hours, all the popcorn would be finished

1/3 + 1/3 + 1/3 = 1

Answer:

y=(2,1)

z=( 1,7)

Step-by-step explanation:

Because from their original point you would have to count to the left four unit and up two units

Answer:

Part A

The height to which the projectile reaches is given by the following formula;

[tex]\Delta y = y-y_0 = v_{0y} \times t-\dfrac{1}{2} \times g \times t^2[/tex]

Where;

[tex]v_{0y}[/tex] = The initial velocity of the projectile = Stays the same

y = The height the projectile reaches

y₀ = The height from which the projectile is launched

g = The acceleration due to gravity

t = The time taken

Given that the projectile has the same initial velocity, the variation of Δy with time, 't', will be the same when the project is launched from a different height, and the time change that it takes for the projectile to reach the maximum height will be the same for the previous launch height

Part B

From the change in eight of the projectile, Δy = y - y₀, the maximum height reached, 'y', is therefore given as follows;

y = Δy + y₀

The maximum height will increase by 'y₀', where 'y₀' is the difference between new height and the previous height, [tex]y_i[/tex]

That is, if y₀ > [tex]y_i[/tex], the maximum height reached increases and if y₀ < [tex]y_i[/tex], y₀ will be added as y = Δy - y₀ and the maximum height reached decreases

Step-by-step explanation:

Answer:

a=-b

Step-by-step explanation:

Or,

b=-a