1 answer

What is the distance between #(3,-29,-12)# and #(2,-38,-6)#?

Question:

What is the distance between #(3,-29,-12)# and #(2,-38,-6)#?

Answers

See a solution process below:

Explanation:

The formula for calculating the distance between two points is:

#d = sqrt((color(red)(x_2) - color(blue)(x_1))^2 + (color(red)(y_2) - color(blue)(y_1))^2 + (color(red)(z_2) - color(blue)(z_1))^2)#

Substituting the values from the points in the problem gives:

#d = sqrt((color(red)(2) - color(blue)(3))^2 + (color(red)(-38) - color(blue)(-29))^2 + (color(red)(-6) - color(blue)(-12))^2)#

#d = sqrt((color(red)(2) - color(blue)(3))^2 + (color(red)(-38) + color(blue)(29))^2 + (color(red)(-6) + color(blue)(12))^2)#

#d = sqrt((-1)^2 + (-9)^2 + 6^2)#

#d = sqrt(1 + 81 + 36)#

#d = sqrt(118)#

Or if a non-radical answer is required:

#d = 10.863# rounded to the nearest thousandth.

.

Similar Solved Questions

1 answer
QUESTION 11 Light bulbs are found to have a mean life of 800. The standard deviation...
QUESTION 11 Light bulbs are found to have a mean life of 800. The standard deviation is 160. A sample of 400 is chosen. Find the probability that 810 < X...
1 answer
Following are transactions of Danica Company. Dec. 13 Accepted a $27,000, 45-day, 7% note in granting...
Following are transactions of Danica Company. Dec. 13 Accepted a $27,000, 45-day, 7% note in granting Miranda Lee a time extension on her past-due account receivable. 31 Prepared an adjusting entry to record the accrued interest on the Lee note. Complete the table to calculate the inter...
1 answer
U Search this course Ch 03: Assignment - Preparing Your Taxes Match tne terms reiating to...
U Search this course Ch 03: Assignment - Preparing Your Taxes Match tne terms reiating to tne basic terminoiogy ana concepts or personai finance on the iert with the descriptuons or the terms un une nignt. Keau each description carefully and type the letter of the description in the Answer column ne...
1 answer
Problem 14-02A a-c The post-closing trial balance of Storey Corporation at December 31, 2020, contains the...
Problem 14-02A a-c The post-closing trial balance of Storey Corporation at December 31, 2020, contains the Preferred Stock (15,000 shares Issued) Common Stock (250,000 shares issued) Paid-in Capital in Excess of Par-Preferred Stock Paid-in Capital in Excess of Par-Common Stock Common Stock Dividends...
1 answer
The real risk-free rate is 3%. Inflation is expected to be 4% this year and 5%...
The real risk-free rate is 3%. Inflation is expected to be 4% this year and 5% next year. The maturity risk premium is estimated to be .20(t-1)%, where t is the number of years to maturity. What is the yield on a 2-year Treasury note? Please explain steps, thank you....
1 answer
In a partnership liquidation, losses are made in accordance with the partner's income sharing ratio balances...
In a partnership liquidation, losses are made in accordance with the partner's income sharing ratio balances of partners' capital accounts c. ratio of original investments by partners d. ratio of original investments less withdrawals by partners...
1 answer
We are evaluating a project that costs $744,000, has a six-year life, and has no salvage...
We are evaluating a project that costs $744,000, has a six-year life, and has no salvage value. Assume that depreciation is straight-line to zero over the life of the project. Sales are projected at 45,000 units per year. Price per unit is $60, variable cost per unit is $20, and fixed costs are $740...
1 answer
What tests can an audit perform to make sure that inventory and accounts receivable on the...
What tests can an audit perform to make sure that inventory and accounts receivable on the balance sheet is fairly stated?...
1 answer
A company is experiencing computer problems. They assign you and a partner to find and fix...
A company is experiencing computer problems. They assign you and a partner to find and fix the issue. You and your partner have tried several approaches, but nothing is working, and the problem is taking a lot longer than you had anticipated. Company supervisors will start calling soon to ask about ...
1 answer
A baseball (m = 147 g) approaches a bat horizontally at a speed of 35.9 m/s...
A baseball (m = 147 g) approaches a bat horizontally at a speed of 35.9 m/s (80.3 mi/h) and is hit straight back at a speed of 48.0 m/s (107 mi/h). If the ball is in contact with the bat for a time of 1.19 ms, what is the average force exerted on the ball by the bat? Neglect the weight of the bat, s...
1 answer
Assess the discussion of the psychosocial implications of having a healthcare professional identify poor eating habits...
Assess the discussion of the psychosocial implications of having a healthcare professional identify poor eating habits or overnutrition....
1 answer
U solo. Il does not indicate Required information [The following information applies to the questions displayed...
U solo. Il does not indicate Required information [The following information applies to the questions displayed below) In 2021, the Westgate Construction Company entered into a contract to construct a road for Santa Clara County for $10,000,000. The road was completed in 2023. Information related to...
1 answer
N- 5- -X | | XXX ااا ۱۱۱۱۱۰۰h- ۰۰:IIIے N- N N -E Select all of...
N- 5- -X | | XXX ااا ۱۱۱۱۱۰۰h- ۰۰:IIIے N- N N -E Select all of the following that are trans isomers. X | | X- -ک -X...
1 answer
Strategic marketing is _____.
Marketing Tactics and Strategies...
1 answer
• What are the four main categories of financial ratios?
• What are the four main categories of financial ratios?...
1 answer
Vignette Analysis: Jacob is a 32-year old African American man who just returned from his 2nd...
Vignette Analysis: Jacob is a 32-year old African American man who just returned from his 2nd tour of duty overseas. Before he is able to begin a 3rd tour of duty, his commanding officer is mandating that he seek counseling due to what Jacob describes as “odd behaviors”. Jacob admits tha...
1 answer
Describe your approach to completing a comprehensive assessment and health history in this case. 1: How...
Describe your approach to completing a comprehensive assessment and health history in this case. 1: How will you address the patient's substance use? 2:What communication techniques will you use? Explain. 3: Are there any special implications for documentation? 4:What ethical dilemmas might surf...
1 answer
Watch the YouTube video " Ex-Pharmaceutical Rep. Speaks Out" by Gwen Olsen....base on the video how...
watch the YouTube video " Ex-Pharmaceutical Rep. Speaks Out" by Gwen Olsen....base on the video how does pharmaceuticals approach differ from those presented on complementary and alternative medicine and the mind-body? what conclusion can you draw?...
1 answer
Savod Help Save & Exit Subm Pintime Industries Inc. entered into a business combination agreement with...
Savod Help Save & Exit Subm Pintime Industries Inc. entered into a business combination agreement with Sydrolized Chemical Corporation (SCC) to ensure an uninterrupted supply of key raw materials and to realize certain economies from combining the operating processes and the marketing efforts of...