A civil engineer is drawing a plan for the location and length of a new underground sewer pipe on the coordinate grid. The pipe on the plane will run from point n(a,-2) to point p(1,b) on the coordinate grid. Which expression represents the shortest distance between n and p in units?.

Question

19-12-2022
Mathematics

Answered

A civil engineer is drawing a plan for the location and length of a new underground sewer pipe on the coordinate grid. The pipe on the plane will run from point n(a,-2) to point p(1,b) on the coordinate grid. Which expression represents the shortest distance between n and p in units?.

Answer :

Other Questions

The function f is differentiable on the closed interval [-6, 5] and satisfies f(-2) -7. The graph of f', the derivative of f, consists of a semicircle and three

The function y=f(x) is graphed below. Plot a line segment connecting the the points on f where x=5 and x=7. Use the line segment to determine the average rate o

△ABC ha vertice A(1, 3), B(2, 5), and C(5, 3). What are the coordinate of B′ after the tranformation (x, y) ⟶ (–y, x), then tranlation 1 unit right and 4 unit u

find an equation of the tangent line to the given curve at the specified point. y = e^x / x , (1, e)

A chool i arranging a field trip to the zoo. The chool pend 548. 39 dollar on pae for 29 tudent and 2 teacher. The chool alo pend 273. 47 dollar on lunch for ju

find the length of the loop of the given curve. x = 6t − 2t3, y = 6t2

Let f and g be the functions defined by f(x) = 1 + x + e^x^2 - 2x and g(x) = x^4 - 6.5x^2 + 6x + 2. There are two regions on the interval 0 x 2 which are enclos

The plane x + y + z = 1 cuts the cylinder x2 + y2 = 1 in an ellipse. We want to find the points on the ellipse that lie closest to the origin. Using Lagrange Mu

find the exact length of the curve.x = 1/3 √y (y - 3), 16 ≤ y ≤ 25

A vertical number line is given. A vertical number line starting at negative 9 with tick marks every one-half unit up to 2. The value negative 5.5 is labeled. T

smecloudbird18 smecloudbird18 · Answer 1 · 2022-12-22T04:33:13-05:00

The shortest distance between n(a, -2) and p(1,b) can be expressed by √( (1 - a)² + (b + 2)² ) units.

Distance between two point on a plane is the length of the line segment connecting the two points. The formula to determine distance between two points, say (x₁, y₁) and (x₂, y₂) is

Distance, d = √( (x₂ - x₁)² + (y₂ - y₁)² )

Therefore in this case where the points are n(a, -2) and p(1,b), the distance between n and p is

d = √( (1 - a)² + (b - (-2))² ) units

d = √( (1 - a)² + (b + 2)² ) units

To know more on distance between two point problems

https://brainly.com/question/19544173

#SPJ4