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Darina [25.2K]
3 years ago
7

Which statement describes the behavior of the graph of the function shown at the vertical asymptotes?

Mathematics
2 answers:
erik [133]3 years ago
4 0
As x approaches -7 from the right, y reaches negative infinity
LenaWriter [7]3 years ago
3 0

Answer:

B

Step-by-step explanation:

Took the Edgenuity test. :)

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Find the equation of this line. y= [?]x+[?]
DochEvi [55]

Answer:

y=3x-4

Step-by-step explanation:

Hi there!

Slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0)

<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>

m=\displaystyle\frac{y_2-y_1}{x_2-x_1} where two points that fall on the line are (x_1,y_1) and (x_2,y_2)

On the graph, two points are highlighted for us: (0,-4) and (2,2). Plug these into the formula:

m=\displaystyle\frac{2-(-4)}{2-0}\\\\m=\displaystyle\frac{2+4}{2}\\\\m=\displaystyle\frac{6}{2}\\\\m=3

Therefore, the slope of the line is 3. Plug this into y=mx+b:

y=3x+b

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

y=3x+b

Recall that the y-intercept occurs when x=0. Given the point (0,-4), the y-intercept is therefore -4. Plug this into y=3x+b:

y=3x+(-4)\\y=3x-4

I hope this helps!

5 0
2 years ago
Simplify <br><br> -2i sq.root -12
Darina [25.2K]

Answer:

= 4sqrt3

Step-by-step explanation:

-2i sqrt -12

= -2i * i sqrt12 <-- i^2 = -1

= -2i^2sqrt12

= -2(-1)sqrt12

= 2sqrt12

= 2 * 2 sqrt3

= 4sqrt3

6 0
2 years ago
The blades of a windmill turn on an axis that is 40 feet from the ground. The blades are 15 feet long and complete 3 rotations e
astraxan [27]

Answer:

a is the _amplitude_(Length of the blades)_

The vertical shift, k, is the _Mill shaft height_

a = 15\ ft\\\\k = 40\ ft

y = 15sin(\frac{\pi}{10}t) + 40

Step-by-step explanation:

In this problem the amplitude of the sinusoidal function is given by the length of the blades.

a = 15\ ft

The mill is 40 feet above the ground, therefore the function must be displaced 40 units up on the y axis. So:

k = 40\ ft

We know that the blades have an angular velocity w = 3 rotations per minute.

One rotation = 2\pi

1 minute = 60 sec.

So:

w = \frac{3(2\pi)}{60}\ rad/s

w = \frac{\pi}{10}\ rad/s

Finally:

a is the _amplitude_(Length of the blades)_

The vertical shift, k, is the _Mill shaft height_

a = 15\ ft\\\\k = 40\ ft

y = 15sin(\frac{\pi}{10}t) + 40

3 0
3 years ago
Read 2 more answers
. The area of a rectangle is 45.5 square inches. The base of the rectangle is 7 inches. ​
Ugo [173]
What the question then
7 0
3 years ago
Read 2 more answers
Square root of 20 is it rational or irrational ?
olga55 [171]
Each square root of a number that does not generated as a square of an integer is irrational. This means that none of the given numbers is rational, that is,  they are all irrational.

Good luck!!!!
5 0
3 years ago
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