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Ipatiy [6.2K]
3 years ago
7

For bowmaian000 please check

Mathematics
1 answer:
garri49 [273]3 years ago
5 0

Answer:

Quadratic function, None of the above, and ?

Step-by-step explanation:

So remember what I told you about earlier, lets look at that first one.

So we can see that x is increasing by 1 and y is decreasing by 3...And then it increases by 3! And after that another 9! Well, that seems like it is reversing, as it changes from decreasing to increasing in y coordinates. So knowing that is reverses from decreasing to increasing in y, <u>it must be a quadratic function</u>!

Next we have a increase in 1 and a decrease by 17...then 12...then 7 in y. This isnt decreasing by a constant amount like a linear function. It doesnt seem like a obvious exponential decrease either, and it isnt reversing like a quadratic function does. I am going to use something called logarthms, which you don't even need to think about yet, just to make sure that it is not an exponent.  Althouhg the difference in the exponent was only 0.0018, it is a differnece.<u> So this must be a none of the above</u>, sicne none of the functions apply. (If this is incorrect, and it is exponential, then the test is wrong. While the method I used is something found in mid algebra 2, it is still a method of finding a exponent of a number.)

Now we finish up with a change in x of 1, and a change of y by...-11, -11, -11!

Well, what do you think this is, thinking back on what I have said so far.

It is a constant change of -11y and 1x. Remember, a CONSTANT CHANGE.

What do you think it is :)

If you cannot figure it out, let me know in comments.

<u>Hope this is helps you!</u>

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A. Solve the differential equation <img src="https://tex.z-dn.net/?f=y%27%3D2x%20%5Csqrt%7B1-y%5E2%7D%20" id="TexFormula1" title
kirill [66]
y' = \frac{dy}{dx}

seperable differential equations will have the form
\frac{dy}{dx} = F(x) G(y)

what you do from here is isolate all the y terms on one side and all the X terms on the other
\frac{dy}{G(y)} = F(x) dx
just divided G(y) to both sides and multiply dx to both sides

then integrate both sides
\int \frac{1}{G(y)} dy = \int F(x) dx&#10;&#10;

once you integrate, you will have a constant. use the initial value condition to solve for the constant, then try to isolate x or y if the question asks for it


In your problem,
G(y) = \sqrt{1-y^2}&#10;&#10;F(x) = 2x

so all you need to integrate is
\int \frac{1}{\sqrt{1-y^2}} dy = \int 2x dx
5 0
4 years ago
Joe is building a container to hold sand for a beach party. The container will hold 9,000 cubic feet of sand. Of the base of the
Genrish500 [490]

Answer:

The height of the container is 4 feet.

Step-by-step explanation:

A container has the format of a rectangular prism.

It has three dimensions: width(w), length(l), height(h).

The volume is:

V = w*l*h

In this question:

w = 45, l = 50, V = 9000

We have to find the height(length and width are in feet, volume in cubic feet, so the height will be in feet).

V = w*l*h

9000 = 45*50*h

h = \frac{9000}{45*50}

h = 4

The height of the container is 4 feet.

7 0
3 years ago
I need help with this math question. Can you fill all the blanks please
gladu [14]

Answer:

Δ ABC was dilated by a scale factor of 1/3, reflected across the y-axis

and moved through the translation (1 , -2)

Step-by-step explanation:

* Lets explain how to solve the problem

- The similar triangles have equal ratios between their

  corresponding side

- So lets find from the graph the corresponding sides and calculate the

  ratio, which is the scale factor of the dilation

- In Δ ABC :

∵ The length of the vertical line is y2 - y1

- Let A is (x1 , y1) and B is (x2 , y2)

∵ A = (-6 , 0) and B = (-6 , 3)

∴ AB = 3 - 0 = 3

- The corresponding side to AB is FE

∵ The length of the vertical line is y2 - y1

- Let F is (x1 , y1) , E is (x2 , y2)

∵ F = (3 , -2) and E = (3 , -1)

∵ FE = -1 - -2 = -1 + 2 = 1

∵ Δ ABC similar to Δ FED

∵ FE/AB = 1/3

∴ The scale factor of dilation is 1/3

* Δ ABC was dilated by a scale factor of 1/3

- From the graph Δ ABC in the second quadrant in which x-coordinates

 of any point are negative and Δ FED in the fourth quadrant in which

 x-coordinates of any point are positive

∵ The reflection of point (x , y) across the y-axis give image (-x , y)

* Δ ABC is reflected after dilation across the y-axis

- Lets find the images of the vertices of Δ ABC after dilation and

 reflection  and compare it with the vertices of Δ FED to find the

 translation

∵ A = (-6 , 0) , B = (-6 , 3) , C (-3 , 0)

∵ Their images after dilation are A' = (-2 , 0) , B' = (-2 , 1) , C' = (-1 , 0)

∴ Their image after reflection are A" = (2 , 0) , B" = (2 , 1) , C" = (1 , 0)

∵ The vertices of ΔFED are F = (3 , -2) , E = (3 , -1) , D = (2 , -2)

- Lets find the difference between the x-coordinates and the

 y- coordinates of the corresponding vertices

∵ 3 - 2 = 1 and -2 - 0 = -2

∴ The x-coordinates add by 1 and the y-coordinates add by -2

∴ Their moved 1 unit to the right and 2 units down

* The Δ ABC after dilation and reflection moved through the

  translation (1 , -2)

3 0
3 years ago
What is a complementary angle?
Lana71 [14]

Answer:

A complementary angle are angles that add up to 90 degrees.  For example, a 30 degree angle and a 60 degree angle are complementary angles because 30+60=90

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Select the equation that represents a line with a slope of 2 and that contains the point (1, -5).
kondor19780726 [428]

To get the equation of a line, you can use the following:

y - y1 = m (x - x1)

Where:

  • m is the slope (2)
  • y1 is the y coordinate of a point  (1, -5)
  • x1 is the x coordinate of the same point (1, -5)

Just substitute in the values:

y - y1 = m (x - x1)

y - (-5) = 2(x - 1)             <em>(  - - 5 = + 5 )</em>

y + 5 = 2(x - 1)

_________________________

Answer:

B. y + 5 = 2(x - 1)

6 0
3 years ago
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