1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nirvana33 [79]
3 years ago
6

Find the length of the segment that joins the points (-5, 4) and (6,-3).

Mathematics
1 answer:
Helen [10]3 years ago
7 0

Answer:

\boxed {\boxed {\sf d=\sqrt{170} \ or \  d\approx 13.04}}}

Step-by-step explanation:

We are asked to find the length of a segment or the <em>distance</em> between the 2 points. The formula for distance is:

d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2

where (x₁ y₁) and (x₂, y₂) are the points. We are given the points ( -5, 4) and (6, -3). If we match the number and the corresponding variable, it is:

  • x₁= -5
  • y₁= 4
  • x₂= 6
  • y₂ = -3

Substitute the values into the formula.

d= \sqrt{(6--5)^2+(-3-4)^2

Solve inside the parentheses.

  • 6--5 (Back to back negative signs become a positive)= 6+5 =11
  • -3-4= -7

d= \sqrt{(11)^2+(-7)^2

Solve the exponents.

  • (11)²= 11*11= 121
  • (-7)²= -7*-7= 49

d= \sqrt {(121)+(49)

Add.

d= \sqrt {170}

d=13.0384048104

Even though it's not specified, we could round to the nearest hundredth to make the answer more concise. The 8 in the thousandth place tells us to round the 3 to a 4 in the hundredth place.

  • 13.03<u>8</u>4048104

d\approx 13.04

The length of the segment is <u>√170</u> or approximately <u>13.04. </u>

You might be interested in
What is the slope of the graph? (Example: 2/3,-4,-2/9)
Vladimir79 [104]
1/2 ; you must look at rise over run. It goes up by one, runs over 2. 1/2 is a half
3 0
3 years ago
3(3b +2)=-30 what is b =
ycow [4]
3(3b+2)=-30  perform indicated multiplication on left side...

9b+6=-30  subtract 6 from both sides

9b=-36  divide both sides by 9

b=-4
4 0
3 years ago
Solve for x, 12y+6=6(y+1)
Vanyuwa [196]

For this case we must solve the following equation:

12y + 6 = 6 (y + 1)

We apply distributive property on the right side of the equation:

12y + 6 = 6y + 6

We subtract 6y on both sides of the equation:

12y-6y + 6 = 6\\6y + 6 = 6

We subtract 6 from both sides of the equation:

6y = 6-6\\6y = 0

Dividing by 6 on both sides of the equation:

y = 0

So, the result is y = 0

Answer:

y = 0

4 0
3 years ago
I REALLY NEED HELP PLEASE!
zhuklara [117]

Answer:

The answer to that question is b

Step-by-step explanation:

6 0
3 years ago
Given m ZLMN = 145°, what is m ZXMN?<br> Show all relevant work.
myrzilka [38]
80 degrees. 145 = (4x+5) + (6x-10) = 10x-5... so 10x = 150, x = 15. LMN = 6x-10 = 6(15) - 10 = 80.
4 0
3 years ago
Other questions:
  • Find the x and y intercepts of 7/3x-1/3y=1
    9·1 answer
  • Percent sales tax: 7%<br> price before tax: $250<br> price with tax:
    10·2 answers
  • What is 35% of 60 answer
    11·1 answer
  • What is the​ slope-intercept form of the equation of the​ line?
    9·1 answer
  • What are the factors of 6
    10·2 answers
  • The following pieces of empirical evidence have been collected over the years: Historical trend data show an increase in tempera
    9·1 answer
  • In Ms.Khans class,22 out of 25 students hand in their projects on time. What percent of the class hand in their projects on time
    8·1 answer
  • In the last quarter of a high school football game, your team i s behind by 21 points. A field goal is worth 3 points and a touc
    12·2 answers
  • Evaluate 3x + 1/3 if x =1/4? simplify if possible​
    13·2 answers
  • Please help me find the answer to this, the work on it is wrong!!
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!