please show work

please show work

a) What are the coordinates of the vertex? b) Find the x-intercepts using algebra.

f(x)= -x+1 if -1<= (read this as less than or equal to) x<1 f(x)= 2 if x=1 f(x)= x^2. if x>1 a)...

Solve algebraically, exact solutions only, sin2tcost - cos2tsint = 0 on the interval 0≤t≥2Π

Sally decides to ride the merry-go-round that is 15 feet in diameter and makes 1 revolution in 45 seconds. Sammy decides to ride his bicycle in a circular path 2.5 feet from the edge of the merry-go-round...

Sally decides to ride the merry-go-round that is 15 feet in diameter and makes 1 revolution in 45 seconds. Sammy decides to ride his bicycle in a circular path 2.5 feet from the edge of the merry-go-round...

How do you solve this

A ball is thrown from 5 inches above the ground. After 2 seconds, the ball reaches a maximum height of 9 inches, and then lands back on the ground 5 seconds after it was thrown. Write a function that...

Please explain how to get the answer step by step.

Use the given triangle to evaluate the trigonometric expression. The graph is a right triangle, the side on the y-axis =5 and the side o the x-axis =12. The hypotenuse is not given. sin(y/2)=? a)...

options a. cot u =sin (u)/cos(u) b. sec(-u)=sec(u) c. 1+tan^2(u)=sec^2(u) d.cos (u)=1/sec(u)

So my teacher asked us challenge problems for this 1.Is the statement tan(x-y)=tan(x)-tan(y) true for all values of x and y? 2.Given the sum and difference identities for sine and cosine,...

I need to know how to do it

f(x)= (x^2+4)/(x-2) if x<=3 or kx-3 if x>3 Determine a value for k that makes the function continuous on the interval (2,10) for all real values of x in that interval. Please...

The exact question was: "Rotate the coordinate axes to eliminate the xy term. 2x2 + 2(sqrt3)xy + 4y2 - 8 = 0" (sqrt= square root) ...

cotx/cosx+1/sinx

The end of pendulum with a length of 21 cm travels an arc length of 24 cm. how many degrees does the pendulum swing?

I need help with this

The function A = A0e-0.01155x models the amount in pounds of a particular radioactive material stored in a concrete vault, where A0 is the original amount of material and x is the number of years...

sin^2x-cos^2=sinx please answer