Answer:
g(x) = 3·sin(x + π/2) - 4
Step-by-step explanation:
The given (general form of a) sin function is g(x) = A·sin(x + C) + D
Where;
A = The amplitude (the vertical stretch) = 3
C = The phase shift, left = π/2
D = The vertical shift = 4 units down = -4
Therefore, given that in the parent function, we have f(x) = sin(x), by substituting the values of <em>A</em>, <em>C</em>, and <em>D</em> to complete the equation modeling the function <em>g</em>, we get;
g(x) = 3·sin(x + π/2) - 4
The radius of the circle is given to be r = 14.5
Let the center be O. So OB is the radius = 14.5
We can draw a triangle as shown in the image below. We have a right angled triangle. We know the hypotenuse and the base, we need to find the perpendicular side. This can be done using the Pythagorean theorem.
So, we can write:
![(14.5)^{2}=10^{2}+OA^{2} \\ \\ OA^{2}=110.25 \\ \\ OA=10.5](https://tex.z-dn.net/?f=%2814.5%29%5E%7B2%7D%3D10%5E%7B2%7D%2BOA%5E%7B2%7D%20%5C%5C%20%20%5C%5C%20%0AOA%5E%7B2%7D%3D110.25%20%5C%5C%20%20%5C%5C%20%0AOA%3D10.5%20%20%20%20)
Thus, the measure of OA = 10.5
OB = OA + AB
14.5 = 10.5 + AB
⇒
AB = 4
First multiply and dstribute
a(b+c)=ab+ac
2(3x+2)=6x+4
6x+4=2x-1+x
add like terms
6x+4=3x-1
subtract 3x from both sides
3x+4=-1
subtract 4 from both sides
3x=-5
divide bothe sides by 3
x=-5/3
Answer:
(a+b)²=a²+2ab+b²
Step-by-step explanation:
Hope this helps!!!