In order to solve the equation we first need to put the condition:
6x+7>=0
x>= -7/6
We square the equation:
x^2=6x+7
x^2-6x-7=0
x^2+x-7x-7=0
x(x+1)-7(x+1)=0
(x-7)(x+1)=0
x1=7
x2=1
Both solutions meet the condition.
Answer:
Draw a diagram with rectangle where 10" is the diagonal, 6" is the bottom of the screen, then you have a right triangle with hypotenuse of 10 and one side = 6.
Use Pythagorean theorm to find unknown side x;
x2 + 62 = 102 Solving for x, you get X = 8 inches
1 rotation equals 360 degrees. 1/2 of a rotation equals 360/2 = 180 degrees. So, 7 times 360 degrees = 2520 degrees plus 180 degrees = 2700 degrees.
27 = 9^x-1
3^3 = 9^x-1
3^3 = 3^2(x-1)
3 = 2 (x-1)
1.5 = x-1
x = 2.5
