Given:
The function is

To find:
The asymptotes and zero of the function.
Solution:
We have,

For zeroes, f(x)=0.



Therefore, zero of the function is 0.
For vertical asymptote equate the denominator of the function equal to 0.


Taking square root on both sides, we get


So, vertical asymptotes are x=-4 and x=4.
Since degree of denominator is greater than degree of numerator, therefore, the horizontal asymptote is y=0.
Answer:
Step-by-step explanation:
5/6 = 14*5/14*65/6 = 5/6
If the shape on the red image is scaled to the shape on the blue image, the scale factor is 0.2777.
Explanation:
- The original shape's base in the red image is measured. The base of the red image is measured to be 9 units. Now we measure the same side of the blue image. The base of the blue image is measured to be 2.5 units. So after scaling, the length of the painting will be 2.5 units.
- To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling. In this case, it is the base of both images. So The scale factor =
=
= 0.2777. - So the red image is dilated by a scale factor of 0.2777 to produce the blue image.
The rope is not long enough a meter is roughly 3 feet 3 inches totalling out to 98 feet and a few inches
Answer:
The answer is 18.
Step-by-step explanation:
You just need to plug in -7 to the equation 2x-4. You get -18, but absolute value is always positive, so its 18.