Answer:
1. x = ±9
2. 
3. 12 and -12.
4. Antoine is incorrect. There exists two solutions x=5 and x= -5.
Step-by-step explanation:
According to the questions,
Problem 1. 
i.e. 
i.e. x = ±9.
Problem 2. 
i.e. 
i.e. 
i.e.
Problem 3. [tex]f(x)=x^{2}-144[tex]
To find the roots, we take, [tex]x^{2}-144=0[tex] i.e. [tex]x^{2}=144[tex] i.e. x = ±12.
Thus, the options are 12 and -12.
Problem 4. We have [tex]f(x)=x^{2}+25[tex]
For the roots, we take, [tex]x^{2}+25=0[tex] i.e. [tex]x^{2}=25[tex] i.e. x = ±5.
Thus, Antoine is not correct and two solutions namely x=5 and x= -5 exists.
Given that the total area of the four small squares is 256 ft2, the first thing we are going to do is to divide 256 by 4 and we get 64. So the area of each small square is 64. Now, to find the side length of each small square, we just have to square 64, and the answer is 8. Therefore, the side length of each small square is 8feet. Hope this helps.
If 30 60 90 right triangle then ratio of short leg : long leg : hypotenuse = a : a√3 : 2a
in this case
short leg = 4
long leg = 4√3 (short leg times √3)
and
hypotenuse = 8 (twice of short leg)
so answer is A.
The angle measures are 30, 60 and 90
Answer:
The answer would be B
Step-by-step explanation:
The reason that we know this is because the line is falling and because it is a solid line then we know that it is ≥ and not just >. the solid line already gets rid of C and D. A is a positive number which would cause the line to go the opposite direction. Therefore B is your only answer left.
