In the xy-plane, the line x + y=k, where k is a constant, is tangent to the graph of y=x^2+3x+1. what is the value of k?

City l has a temperature of −3 °f. city m has a temperature of −7 °f. use the number line shown to answer the questions: number line from negative 8 to positive 8 in increments of 1 is shown. part a: write an inequality to compare the temperatures of the two cities. (3 points) part b: explain what the inequality means in relation to the positions of these numbers on the number line. (4 points) part c: use the number line to explain which city is warmer. (3 points)

Yuto solved the equation below. what is the solution to yuto’s equation?

Write the fraction for the part that is shaded. then find the equivalent fraction.