Answer:
Option A
Step-by-step explanation:
The standard form of an equation of a circle is represented by the formula 
. Remember that 
is the center and 
is the radius squared.
So, the equation of the circle must be 
. Complete the square to change the form of the equations listed in the options and find the one that is equal.
Let's try this with option A. Move the constants to the right side, then use the completing the square method to place the equation in standard form:
The end result matches with the equation determined before, so option A is the answer.
Answer:
This number "four" is the maximum possible number of positive zeroes (that is, all the positive x-intercepts) for the polynomial f (x) = x 5 – x 4 + 3x 3 + 9x 2 – x + 5. Affiliate However, some of the roots may be generated by the Quadratic Formula , and these pairs of roots may be complex and thus not graphable as x -intercepts.
can calculate and graph the roots (x-intercepts), signs, Local Maxima and Minima, Increasing and Decreasing Intervals, Points of Inflection and Concave Up/Down intervals.
Step-by-step explanation:
Answer:
It is a little hard to see where your steps are for the equation, but x = 4, and I will explain:
Step-by-step explanation:
We know y = -1.5x +4, so we plug that into the equation
6x - 5(-1.5 + 4) = 34
6x +7.5x - 20 = 34 Here we distributed the -5 into the parenthesis.
13.5x -20 = 34
13.5 = 54
x = 4
Hope this helps!
Answer: BC = 16√2 ft
Step-by-step explanation:
Triangle ABC is a right angle triangle. From the given right angle triangle, BC represents the hypotenuse of the right angle triangle.
With m∠W as the reference angle,
AB represents the adjacent side of the right angle triangle.
AC represents the opposite side of the right angle triangle.
To determine the length of BC, we would apply the Sine trigonometric ratio which is expressed as
Sin θ, = opposite side/hypotenuse. Therefore,
Sin 45 = 16/BC
√2/2 = 16/BC
BC = 16/(√2/2) = 16 × 2/√2
BC = 32/√2
Rationalizing the denominator, it becomes
BC = 32/√2 × √2/√2
BC = 32√2/2
BC = 16√2 ft
