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]
2 years ago
6

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

Mathematics
1 answer:
Helen [10]2 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
A public swimming pool that holds 45,000 gallons of water is going to be drained for maintenance at a rate of 100 gallons per mi
crimeas [40]

Answer:

450 minutes

Step-by-step explanation:

Given

w = 45000 - 100t

Required

Determine how long it'll take to empty the pool

Being empty means there's no water in the pool.

So, we have to set w to 0 to get the value of t

i.e w = 0

Substitute 0 for w in w = 45000 - 100t

0 = 45000 - 100t

Collect Like Terms

100t = 45000

Divide through by 100.

t = 450

Hence, it'll take 450 minutes to empty the pool

8 0
2 years ago
PLEASE ANSWER + BRAINLIEST!!!
grandymaker [24]

Width is 11k^2

Length is 5k^3 + 2k^2

Look at: https://www.wyzant.com/resources/answers/392371/what_is_the_length_and_width_of_the_rectangle

5 0
3 years ago
Solve it:3/10×7/10=21/100
egoroff_w [7]
I'm gonna guess you're asking if the equation is true or false.
Well, the equation is True. 3/10 * 7/10 is 21/100, or in decimal form 0.21.
Converting 21/100 to a decimal is 0.21.
0.21 = 0.21.
21/100 = 21/100.
7 0
3 years ago
Which two words from the passage have nearly OPPOSITE meanings?
mezya [45]
THE ANSWER IS A 
b IS talent and intersent have the same type of meaning
c to support and be against is are different but mean the same thing in a different word
D rights and changes are the way to suport and change people
6 0
3 years ago
Read 2 more answers
Which linear equality will not have a shared solution set with the graphed linear inequality? y &gt; Two-fifthsx + 2 y Negative
miss Akunina [59]

Answer:

The answer is B

Step-by-step explanation:

Im on Edg right now and I got the answer

6 0
3 years ago
Other questions:
  • 4 radians is the same as
    14·1 answer
  • Please help me I will give thanks and points!
    13·1 answer
  • A function y(t) satisfies the differential equation dy dt = y 4 − 6y 3 + 5y 2 . (a) What are the constant solutions of the equat
    13·2 answers
  • The population of Ketchum high school has been decreasing by 5% per year. If it's population is currently 2,600 students, which
    7·1 answer
  • What is the coefficient in the algebraic expression 6 - 7m
    6·2 answers
  • Use distributive property to find 6×296​
    14·2 answers
  • 1; 4; 16; 64; ...<br>what is the general term ​
    15·1 answer
  • 5. When using substitution in the system of equations, what is the resulting equation?
    13·1 answer
  • Can someone that's very good at math please help me?
    6·1 answer
  • 3
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!