For this case we have the following functions:
By definition we have to:
Substituting:
The range of the function is given by all values of "and" valid. That is, all the real numbers.
ANswer:
(-∞,∞)
Graphic attached
Answer:
Equivalent fraction of 1/4 is 2/8 simple method multiplying & diving 1/4 by 2.
Step-by-step explanation:
You’re gonna have to use the quadratic formula here and a bit of thinking. We know y is height, and once it touches the ground, it will be 0.
(-b +- sqrt b^2 - 4ac)/2a
2 +- sqrt(4 + 48(400))/-32
(2 +- 138.58)/-32
We don’t want a negative time because it’ll make no sense. So do subtraction
(2-138.58)/-32 = 4.27 seconds aka 4.3 seconds
Answer:
<span>B. 3 ft, 5 ft and 7 ft
</span>
Explanation:
In any triangle, the sum of any two sides must be greater that the third one.
Therefore, to know if the given sides represent a triangle or not, all what we will do is add the two short sides and compare the result to the largest one.
We would have 3 options:
sum of short sides > longest side ......> It is a triangle
sum of short sides < longest side ......> It is not a triangle
sum of short sides = longest sides ....> It is not a triangle
Now, for the given:
1- Option A:
sum of short sides = 3 + 6 = 9 ft which is equal to the longest side
This option is incorrect
2- Option B:
sum of short sides = 3 + 5 = 8 ft which is greater than the longest side
This option is correct
3- Option C:
sum of short sides = 3 + 6 = 9 ft which is less than the longest side
This option is incorrect
4- Option D:
sum of short sides = 3 + 9 = 12 ft which is less than the longest side
This option is incorrect
Based on the above, the only correct option is B.
Hope this helps :)
Step-by-step explanation:
Each interior angle=140°
(n-2)180°/n=140°
180°n-360°/n=140°
180°n-360°=140°n
180°-140°=360°
40°n=360°
n=360°/40°
n=9
Hence, the number of sides of the polygon is 9.
It is nonagon .
