Answer:
-3x-3 or -3(x+1)
Step-by-step explanation:
7-5x+2(x-5)
7-5x+2x-10
7-3x-10
-3x+7-10
-3x-3
Zero has one square root which is 0.
Negative numbers Don't have real aquare roots since a square is either positive or 0. The square roots of numbers that are not a perfect square are members or the irrational numbers. That means that they can't be written as the quotient of two integers.
6x - 2(x + 2) > 2 - 3(x + 3)
6x - 2(x) - 2(2) > 2 - 3(x) - 3(3)
6x - 2x - 4 > 2 - 3x - 3
4x - 4 > -3x - 3 + 2
4x - 4 > -3x - 1
+ 3x + 3x
7x - 4 > -1
+ 4 + 4
7x > 3
7 7
x > ³/₇
We can find the measure of angle B using the Law of cosines.
According to the
Law of Cosines:
![b^{2} = a^{2} + c^{2} - 2ac*cos(B) \\ \\ 2ac*cos(B)= a^{2} + c^{2}- b^{2} \\ \\ cos(B)= \frac{a^{2} + c^{2}- b^{2}}{2ac}](https://tex.z-dn.net/?f=%20b%5E%7B2%7D%20%3D%20a%5E%7B2%7D%20%2B%20c%5E%7B2%7D%20-%202ac%2Acos%28B%29%20%5C%5C%20%20%5C%5C%20%0A2ac%2Acos%28B%29%3D%20a%5E%7B2%7D%20%2B%20c%5E%7B2%7D-%20b%5E%7B2%7D%20%5C%5C%20%20%5C%5C%20%0Acos%28B%29%3D%20%5Cfrac%7Ba%5E%7B2%7D%20%2B%20c%5E%7B2%7D-%20b%5E%7B2%7D%7D%7B2ac%7D%20)
Using the values of a,b and c in the above equation we get:
![cos(B)= \frac{31^{2}+17^{2}-15^{2}}{2*31*17} \\ \\ cos(B)= \frac{1025}{1054} \\ \\ B=cos^{-1}(\frac{1025}{1054}) \\ \\ B=13.47](https://tex.z-dn.net/?f=cos%28B%29%3D%20%5Cfrac%7B31%5E%7B2%7D%2B17%5E%7B2%7D-15%5E%7B2%7D%7D%7B2%2A31%2A17%7D%20%20%5C%5C%20%20%5C%5C%20%0Acos%28B%29%3D%20%5Cfrac%7B1025%7D%7B1054%7D%20%5C%5C%20%20%5C%5C%20%0AB%3Dcos%5E%7B-1%7D%28%5Cfrac%7B1025%7D%7B1054%7D%29%20%20%5C%5C%20%20%5C%5C%20%0AB%3D13.47)
Thus measure of angle B is 13.47 degrees. We can convert the decimal part to minutes by multiplying it by 60.
So measure of angle B will be 13 degrees and (60 x 0.47) minutes which equals 13 degrees and 28 minutes or 13° 28'.
Thus option A gives the correct answer.