Answer:
<u>False</u>: C. Completing the square can be used to solve the given equation.
Step-by-step explanation:
First of all, no equation is given. Any answer that suggests a way of finding solutions to the given equation will be false.
The statement of B is debatable. The method of completing the square is most often used for quadratics, but might reasonably be applied in any situation where a perfect square can be created by regrouping the terms.
Statements A and D essentially say the same thing. Both are true. That fact makes statement C false. Statement C is the one you're looking for.
Answer:
a(b(5)) = 76
Step-by-step explanation:
Evaluate b(5) then substitute the value obtained into a(x)
b(5) = 5² = 25, then
a(25) = 3(25) + 1 = 75 + 1 = 76
Answer:
The volume of the solid is π/40 cubic units.
Step-by-step explanation:
Please refer to the graph below.
Recall that the area of a semi-circle is given by:
The volume of the solid will be the integral from <em>x</em> = 0 to <em>x</em> = 1 of area A. Since the diameter is given by <em>y</em>, then the radius is <em>y/2</em>. Hence, the volume of the solid is:
Substitute:
Simplify:
Integrate:
![\displaystyle V=\frac{1}{2}\pi \left[\frac{x^5}{20}\Big|_0^1\right]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%3D%5Cfrac%7B1%7D%7B2%7D%5Cpi%20%5Cleft%5B%5Cfrac%7Bx%5E5%7D%7B20%7D%5CBig%7C_0%5E1%5Cright%5D)
Evaluate:
The volume of the solid is π/40 cubic units.
M of A = x
m of B = 2x-7
m of C = 2x+2
By the angle sum property of a triangle, we know that all the angles of a triangle add up to 180 degrees.
Thus we can create a linear equation
x + 2x-7 + 2x+2 = 180
4x = 185
x = 185/4
x = 46.25
Thus
m of A = 46.25
m of B = 2(46.25) -7 = 85.5
m of C = 2(46.25) +2 = 90.5
Answer:
x = 4
Step-by-step explanation:
Since the rectangles are similar, use a ratio.
15/6 = 10/x
or
6/15 = x/10
I will use 15/6 = 10/x to solve this problem, but both ratios should work to solve this problem.
15/6 = 10/x
Cross Multiply:
6(10) = 15x
Solve:
60 = 15x
x = 4
