For each of the following pairs of functions ff and gg, determine if the level curves of the functions cross at right angles, and find their gradients at the indicated point. a) f(x, y)=5x+5y,

g(x, y)=5x−5y.

Do the level curves of f and g cross at right angles? gradfientf(6,5) = ? gradient(6,5) = ?

b) f(x, y)=x^2−y,

g(x, y)=2y+ln(|x|)

Do the level curves of f and g cross at right angles? gradfientf(6,5) = ? gradient(6,5) = ?

Jordan rides his bike 6 7/15 miles every day to deliver newspapers and to go to and from school. if his ride to and from school is 4 3/10 miles, how many miles is the trip to deliver newspapers? 1 1/3 1 1/6 2 1/6 2 4/5

Which is an x-intercept of the graphed function? (0, 4) (–1, 0) (4, 0) (0, –1)

Arrange the steps to solve this system of linear equations in the correct sequence. x + y = -2 2x – 3y = -9 tiles subtract 3x + 3y = -6 (obtained in step 1) from 2x – 3y = -9 (given) to solve for x. substitute the value of x in the first equation (x + y = -2) to get y = 1. the solution for the system of equations is (-3, 1). x = -15 the solution for the system of equations is (-15, 13). add 3x + 3y = -6 (obtained in step 1) to 2x – 3y = -9 (given), and solve for x. x = -3 substitute the value of x in the first equation (x + y = -2) to get y = 13. multiply the first equation by 3: 3(x + y) = 3(-2) 3x + 3y = -6.