Question: (a) Find the distance between (4,1) and (6, 3). (b) Find the slope of the line perpendicular to the line segment joining the points in

(a) Find the distance between (4,−1) and (6, 3). 

(b) Find the slope of the line perpendicular to the line segment joining the points in part (a).

Step by Step Solution

★★★★★

3.60 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Using distance formula d sqrt642 312 sqrt22 42 sqrt20 2sqrt5 Therefore the distance ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Basic Technical Mathematics Questions!

Q:

In a GPS, The lines that run east-west are known as lines of latitude, and the lines running north-south are known as lines of longitude. The latitude and the longitude of a place are its coordinates...

Q:

Find the distance between the complex numbers in the complex plane. 1. 3 + 2i, 2 - i 2. 1 + 5i, 1 + 3i Find the midpoint of the line segment joining the points corresponding to the complex numbers in...

Q:

The ratio in which the plane r.(i-2 j+3k) = 17 divides the line joining the points -2i+4j+7k and si-5j+8k 1) 1:5 2) 1: 10 3) 3:5 4) 3: 10 If the points (1, 1, -3) and (1, 0, -3) lie on opposite sides...

Q:

Math 009, Spring 2017, US1 Optional Quiz 5 (EA Text: 3.1, 3.3 - 3.6) Instructions Optional Quiz 5 (EA Text: 3.1, 3.3 - 3.6) is DUE IN-CLASS on Thursday, February 23, 7:00 pm In fairness to all (Fair...

Q:

Help me answer the following activities below and follow the given pages. Will rate you helpful, thank you. A. 0.66 B. 0.67 C. 0.68 D. 0.69 7. What is the equation of the line of best fit or...

Q:

An engineer wants to determine how the weight of a car, x, affects gas mileage, y. The following data represent the weights of various cars and their miles per gallon. Car A B C D E Weight (pounds),...

Q:

Questions for Coca Cola Case Can you find an error in equation 1 Look at Figure 1, how well does the regression line predict the actual results? What does the R2 in the regression equation (table1)...

Q:

3. [-/1 Points] DETAILS SPRECALC7 1.10.019. Find an equation for the line whose graph is sketched. S y 3 0 X 1 3 5 -2 Need Help? Read It Watch It Submit Answer APR 13 "tvC...

Q:

3. [-/1 Points] DETAILS SPRECALC7 1.10.019. Find an equation for the line whose graph is sketched. S y 3 0 X 1 3 5 -2 Need Help? Read It Watch It Submit Answer APR 13 "tvC...

Q:

Contemporary Calculus PREVIEW OF CALCULUS Two Basic Problems Beginning calculus can be thought of as an attempt, a historically successful attempt, to solve two fundamental problems. In this section...

Q:

Knowing that crank AB rotates about point A with a constant angular velocity of 900 rpm clockwise, determine the acceleration of the piston P when = 120?. GIN.

Q:

What are some business ideas that are having success locally but are yet to go global?

Q:

Four years ago, Mrs . Beights purchased marketable securities for $ 7 5 , 0 0 0 cash. At the end of the current year, the FMV of the securities had plummeted to $ 4 , 0 0 0 . Mrs . Beights may elect...

Q:

What are the major obstacles to adopting Web 2.0 communication tools in the workplace?

Q:

Find (f g)(x) and (g f )(x) and graph each of these functions. f(x) = -3x g(x) = sin x

Q:

Use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. 257 csc csc 12 12 sin

Q:

Use properties of the trigonometric functions to find the exact value of each expression. Do not use a calculator. 37 sec 18 CoS 18

Q:

5) A futures contract is trading at 100. 3 a) What is the price of a 6-month european $80 put (K = 80) if the risk-free rate is 1.5% and the volatility is 20%? b) What are the delta and gamma of the...

Q:

Inmoo Company's average age of accounts receivable is 45 days, the average age of accounts payable is 40 days, and the average age of inventory is 69 days. Assuming a 365-day year, what is the length...

Q:

please help me with this asap b. Used raw materials as tollows: direct materials, $65,240; and indirect materials, $12,500. c. Recorded factory wages payable costs as follows; direct labor, $208,500;...