James is solving the equation x^2+10x=50 by completing the square. What number must be added to both sides of the equation to co
1 answer:
Let f (x) be a quadratic equation of the form:
Where b and c are real numbers.
So a generic procedure for completing squares is:
1) identify b
In this case b = 10
2) divide b between 2 and then square it
3) Add and subtract in the equation
4) Rewrite the equation as follows
The number that you must add to both sides of the equation is number
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Answer:
Linear equations that go in a straight line.
They are linear so they don’t curve like parabolas.
Step-by-step explanation:
See this picture. It will definitely help you!
Answer:
The value of x is 12 feet
Step-by-step explanation:
The shape in question is a composite shape. We can see that x is both the base of the triangle and the breadth of the rectangle.
To get the area of the shape, we will have to add the area of the rectangle to the area of the triangle.
Area of rectangle = length X breadth
Area of triangle = 1/2 base X height.
However, to calculate the area of the triangle, we need to find its height first.
The next step is to get the height of the triangle. Observing the shape properly, we can see that we can get the height by subtracting the length of the rectangle from the overall length of the shape.
Height of triangle = 16 ft - 10 ft = 6 ft
recall area = 156 square feet.
We now have most of our missing dimensions
We can now set up an equation as follows:
Therefore the value of x is 12 feet
remember that local minimuns are points in which the function was decreasing and starts increasing.
you can try two ways of doing it, graphing the functions or using derivatives.
since this are twelve functios the easier way is to graph them.
start by function y=x
in this case this function is continously increasing as x increases, which means that it does not have any local maxima or minima.
now do the same for
this graph has a local minima on th
