The distance of a planet to a rocket in space is modeled by the function d(x)=−x2−7x+17 , where the distance is measured in hundreds of miles and x is measured in days from when the rocket's journey began. When is the distance between the rocket and the planet greater than 1?

Enter your answer rounded to the nearest hundredth in the boxes.

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?

Complete the solution of the equation. find the value of y when x equals to 1 9x-5y=29

Given right triangle a w/a hypotenuse length of x+4 and a leg of x, and right triangle b, w/ a hypotense length of 3y and a leg length of y+4 for what values of x and y are the triangles congruent by hl?