Any number inside the modulus sign becomes positive. This means 
and so we have,
Solving these gives us
However if we check the second solution in the original equation we obtain 
. This is false and so 
can't be a solution.
Therefore the only solution is 
.
(Note: I'm not sure why the second solution didn't work but when there's a modulus sign involved it always pays to check your final answers to be sure. I'll have a think about it but in case you find out before I do, I'd be interested to know in the comments.)
To do these, start by looking at the "b" value -6.
divide it by 2
-6/2 = -3
now square this number
(-3)^2 = 9
this is what you need for the "c" value
there is only a 5 for the c value so add 4 to both sides of the equation. ( +4 = +4)
y +4 = x^2 -6x +5 +4
y +4 = x^2 -6x +9
y +4 = (x -3)^2
y = (x -3)^2 - 4
vertex ( 3, -4) upwards facing like a bowl, because the "a" value is positive. So the vertex is the minimum, lowest point on the graph.
The standard form of this equation is
The slope of two parallel lines i the same, so the slope of the line we're looking for is also
Since the line passes through
, the equation is:
Answer: 64 inches
Step-by-step explanation: Solve using sohcahtoa for missing info
Answer:
98.13
Step-by-step explanation:
hundredth place is the second after the decimal and anything 5 or above rounds up so the 5 rounds the 2 up to a 3
