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Eva8 [605]
3 years ago
15

If y = 4x - 7 were changed to y = 12x + 1, how would the graph of the new function compare with the original?

Mathematics
2 answers:
AURORKA [14]3 years ago
8 0
The answer would be A.  The fact that the gradient of the new line is higher (12 versus 4) is evidence that the graph is steeper.<span />

Komok [63]3 years ago
4 0
A. It would be steeper.
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Which equation represents a circle with the same radius as the circle shown but with a center at (-1,1)
Alex_Xolod [135]

Answer:

(x + 1)² + (y - 1)² = 16

Step-by-step explanation:

Since the standard form for an equation of a circle is

<h3> (x - h)² + (y - k)² = r²</h3>

The (h,k) are co-ordinate of your centre of circle, which in this case is (-1,1) and r is the radius of circle.

As we can see in the figure radius = 4units

<em>from centre(1,-2) to (1,-2)</em>

Put these into the equation

(x + 1)² + (y - 1)² = 4²

(x + 1)² + (y - 1)² = 16

3 0
3 years ago
Read 2 more answers
I need help finding the missing side length with the answer in radicals in the simplest form.
AlekseyPX

Answer:

C

Step-by-step explanation:

There’s nothing hard with this

You need to know special right triangles

This is a 30,60, 90 triangle

We automatically know becuase theres. Right angle (90) and a 60 degree angle

now the formula is the smallest side is (n) {I’m using N becuase theres already an X) or in this case, 6

The hypotenuse, the one directly above the 2nd biggest side, or the diagnoal side is 2n or (12). Now we know what X is in this situation which is 12. So that narrows it to 2 answers

Now the side on the bottom of the hypotenuse, the second biggest side is used in the formula N\sqrt{3}. So we know what N is in the beginning, 6 so we just plug that in and well get C. Attached is a photo on q 30, 60, 90 special right triangle

4 0
3 years ago
Sally had 1000 photos to put into a photo album.She set 10 photos aside to place in frames.If her photo album fits 3 photos per
Kruka [31]

Answer:

Sally needed 330 pages of album to place her photos in it.

Step-by-step explanation:

Given:

Total number of photos = 1000

Number of photos kept aside to be place in frame = 10

Number of photos in per page of album = 3

We need to find the number of pages needed to place the photos in album.

Solution:

First we will find the number of photos to be place in album.

Now we know that she kept aside some photos which has to be frame framed.

So number of photos to be place in album can be calculated by Subtracting Number of photos kept aside to be place in frame from Total number of photos

framing in equation form we get;

number of photos to be place in album = 1000 - 10 = 990 photos

Now we will find number of pages needed to place the photos in the album.

number of pages needed to place the photos in the album can be calculated by dividing number of photos to be place in album with number of photos in per page of album.

framing in equation form we get;

number of pages needed to place the photos in the album = \frac{990}{3}= 330\ pages.

Hence Sally needed 330 pages of album to place her photos in it.

6 0
3 years ago
The side of the base of a square prism is decreasing at a rate of 7 kilometers per minute and the height of the prism is increas
Ber [7]

Answer:

dV = - 5.73*10⁹ m³/s

Step-by-step explanation:

Question: What is the rate of change of the volume of the prism at that instant (in cubic meters per second) ?

A function can be dependent on one or more variables. The change in the function due to a change in one o its variables is given by the functions derivative with respect to that variable. For functions that are composed of products of its variables, we may use the product rule to determine its derivative.

The volume of a square prism with base a and height h is given by

V = a²h

When the base and height are changing, we have

dV = 2ah(da/dt) +  a²(dh/dt)

Given

a = 4 Km

h = 9 Km

da/dt = - 7 Km/min

dh/dt = 10 Km/min

we have

dV = 2(4 Km)(9 Km)(- 7 Km/min) +  (4 Km)²(10 Km/min)

⇒   dV = - 504 Km³/min + 160 Km³/min = - 344 Km³/min

⇒   dV = - 5.73*10⁹ m³/s

8 0
3 years ago
How much can a 12cm high
QveST [7]
12 cm high is about 4.7 inches high
3 0
3 years ago
Read 2 more answers
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