1)the height of the tunnel at the center is 35 ft, and the vertical clearance must be 21 ft at a point 8 ft from the center. find an equation for the ellipse.(show work ) 2)graph the ellipse with equation x squared divided by 16 plus y squared divided by 4 = 1. 3)determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = -3 + 3 sin θ 4)find the vertices and foci of the hyperbola with equation quantity x plus 5 squared divided by 81 minus the quantity of y minus 3 squared divided by 144 = 1.

Use addition and subtraction to simplify the following polynomials. a. add polynomials: (3 – 4x + 8x^2) + (–6 + 2x – 5x^2) step 1: rewrite the polynomials without the parentheses. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial. b. subtract polynomials: (3x – 5 – 7x^2) – (–2 + 6x^2 – 5x) step 1: rewrite the polynomials without the parentheses. remember to multiply each term in the second parentheses by –1. show your work. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial.

F(x)=x^3+4 question 6 options: the parent function is shifted up 4 units the parent function is shifted down 4 units the parent function is shifted left 4 units the parent function is shifted right 4 units

What are the solutions of the system? solve by graphing. y = -x^2 - 3x + 2 y = -2x + 2