What is the domain of the following parabola?

You and your friend are practicing for a rowing competition and want to know how far it is to an island in the Indian River Lago

zepelin [54]

The drawing is missing, so i have attached it.

Answer:

24 yards

Step-by-step explanation:

From the image, we can see that AB and DE are both adjacent sides of their respective triangles.

While, CE and BC are both opposite sides of their respective triangles

Now, from your side, x is the distance to the island.

So, from ratio of similar triangles, we can find x.

Thus;

8/x = 3/9

Cross multiply to get;

8 × 9 = 3x

3x = 72

x = 72/3

x = 24

Thus, distance from your side to the island is 24 yards

6 0

2 years ago

25 POINTS! URGENT! HELP PLS!! 3 PARTS BUT YOU CAN DO HOW EVER MANY U WANT

goldenfox [79]

A pyramid has 7 faces

3 0

2 years ago

X*y = 154<br> difference between x and y is 3

sergiy2304 [10]

Answer:

x=51.3 and y=3 and that is equal to 154 don't forget to put a bar notation in .3 in 51.3

5 0

2 years ago

The width of a rectangle is increasing at a rate of 2 cm/sec, while the length increases at 3 cm/sec. At what rate is the area i

lorasvet [3.4K]

Answer:

The area of the rectangle is increasing at a rate of $22\ cm^2/s$ .

Step-by-step explanation:

Given : The width of a rectangle is increasing at a rate of 2 cm/ sec. While the length increases at 3 cm/sec.

To find : At what rate is the area increasing when w = 4 cm and I = 5 cm?

Solution :

The area of the rectangle with length 'l' and width 'w' is given by $A=l w$

Derivative w.r.t 't',

$\frac{dA}{dt}=w\frac{dl}{dt}+l\frac{dw}{dt}$

Now, we have given

$\frac{dl}{dt}=3\ cm/s$

$l=5\ cm$

$\frac{dw}{dt}=2\ cm/s$

$w=4\ cm$

Substitute all the values,

$\frac{dA}{dt}=(4)(3)+(5)(2)$

$\frac{dA}{dt}=12+10$

$\frac{dA}{dt}=22\ cm^2/s$

Therefore, the area of the rectangle is increasing at a rate of $22\ cm^2/s$ .

4 0

3 years ago

On a recent day, 8 euros were worth $9 and 24 euros were worth 27.

nikitadnepr [17]

This question is incomplete, here is the complete question:

On a recent day, 8 euros were worth $9 and 24 euros were worth $27. Write an equation of the form y = kx to show the relationship between the number of euros and the value in dollars.

The equation that represents the relationship between the number of euros and the value in dollars is y = 1.125 x

Step-by-step explanation:

On a resent day;

8 euros were worth $9

24 euros were worth $27

We need to write an equation of the form y = kx to show the relationship between the number of euros and the value in dollars

∵ The form of the equation is y = kx, where x is the number of

euros and y is the value in dollars

∵ 8 euros were worth $9

∴ (8 , 9) is an ordered pair belong to the equation

∵ 24 euros were worth $27

∴ (24 , 27) is another ordered pair belong to the equation

To find k substitute x and y in the equation by the coordinates of one of these two points

∵ x = 8 and y = 9

∵ y = kx

∴ 9 = 8k

- Divide both sides by 8

∴ 1.125 = k

- Substitute the value of k in the equation

∴ y = 1.125 x

To check the equation substitute x by the x coordinate of the 2nd point if it gives the same value of the y-coordinate of the point then the equation is true

∵ x = 24

∵ y = 1.125 x

∴ y = 1.125(24)

∴ y = 27 the same value of the y-coordinate of the point

∴ The equation is true

The equation that represents the relationship between the number of euros and the value in dollars is y = 1.125 x

Learn more:

You can learn more about the linear equation in brainly.com/question/4326955

#LearnwithBrainly

6 0

3 years ago