Write a paragraph explaining why the caravel was an important development for European explorers.

An equation of a parabola is given. Find the vertex, focus, and directrix of the parabola. $2(x-1)^{2}=y$

Compare the body’s mechanism for repairing a fractured bone with the original development of bone.

Write a paragraph explaining what sustainable development is and why it is important.

Why did European explorers believe they could simply claim lands for their home countries, even though these lands were already populated?

What were the results of Spanish and Portuguese conquests in America?

Find the following for each function: $f(-1)$, $f(x)=3 x^{2}+2 x-4$

The displacement d (in meters) of an object at time t (in seconds) is given. (a) Describe the motion of the object. (b) What is the maximum displacement from its resting position? (c) What is the time required for one oscillation? (d) What is the frequency? $d=5 \cos \left(\frac{\pi}{2} t\right)$

Write a paragraph explaining the function of colonies in increasing the wealth of European nations.

Use your graphic organizer on European exploration to write a paragraph summarizing the major exploration to write a paragraph summarizing the major exploration to regions each nation explored.

Describe and correct the error a student made in solving a quadratic equation.

$$\begin{align*} 0&=2x^2+7x+5\\ 0&=2x^2+2x+5x+5\\ 0&=2(x+1)+5(x+1)\\ 0&=2x,0=x+1,0\ne 5\\ 0&=x,-1=x \end{align*}$$

A projectile is fired from a cliff 200 feet above the water at an inclination of $45^{\circ}$ to the horizontal, with a muzzle velocity of 50 feet per second. The height h of the projectile above the water is modeled by $h(x)=\frac{-32 x^{2}}{(50)^{2}}+x+200$ where x is the horizontal distance of the projectile from the face of the cliff. (a) At what horizontal distance from the face of the cliff is the height of the projectile a maximum? (b) Find the maximum height of the projectile. (c) At what horizontal distance from the face of the cliff will the projectile strike the water? (d) Using a graphing utility, graph the function h, $0 \leq x \leq 200$ (e) Use a graphing utility to verify the solutions found in parts (b) and (c). (f) When the height of the projectile is 100 feet above the water, how far is it from the cliff?

Write an essay arguing whether using nuclear weapons as a form of deterrence was an effective strategy for preventing conflict between the West and the Soviet Union.

Use your graphic organizer on European exploration to write a paragraph summarizing the major explorers and the regions each nation explored.